Large-scale unit commitment under uncertainty: an updated literature survey
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Antonio Frangioni | Wim van Ackooij | I. Danti Lopez | Fabrizio Lacalandra | Milad Tahanan | A. Frangioni | Fabrizio Lacalandra | W. Ackooij | M. Tahanan | I. D. Lopez
[1] Jerzy A. Filar,et al. Uncertainty and environmental decision making : a handbook of research and best practice , 2010 .
[2] René Henrion,et al. Convexity of chance constraints with independent random variables , 2008, Comput. Optim. Appl..
[3] Claudia A. Sagastizábal,et al. Bundle Relaxation and Primal Recovery in Unit Commitment Problems. The Brazilian Case , 2003, Ann. Oper. Res..
[4] Antonio Frangioni,et al. Inexact stabilized Benders’ decomposition approaches with application to chance-constrained problems with finite support , 2016, Comput. Optim. Appl..
[5] René Henrion,et al. (Sub-)Gradient Formulae for Probability Functions of Random Inequality Systems under Gaussian Distribution , 2017, SIAM/ASA J. Uncertain. Quantification.
[7] R. Rockafellar,et al. Conditional Value-at-Risk for General Loss Distributions , 2001 .
[8] F. N. Lee,et al. Short-term thermal unit commitment-a new method , 1988 .
[9] Javier García González,et al. Improving the B&B search for large-scale hydrothermal weekly scheduling problems , 2006 .
[10] W. Ackooij,et al. (Sub-)Differentiability of Probability Functions with Elliptical Distributions , 2018 .
[11] R.-H. Liang,et al. Thermal generating unit commitment using an extended mean field annealing neural network , 2000 .
[12] Francisco Barahona,et al. The volume algorithm: producing primal solutions with a subgradient method , 2000, Math. Program..
[13] Gerald B. Sheblé,et al. Unit commitment literature synopsis , 1994 .
[14] Harry G. Kwatny,et al. On the Optimal Dynamic Dispatch of Real Power , 1972 .
[15] J. Ostrowski,et al. Heuristic Prescreening Switchable Branches in Optimal Transmission Switching , 2012, IEEE Transactions on Power Systems.
[16] Jonathan F. Bard,et al. Short-Term Scheduling of Thermal-Electric Generators Using Lagrangian Relaxation , 1988, Oper. Res..
[17] Antonio Frangioni,et al. Generalized Bundle Methods , 2002, SIAM J. Optim..
[18] Ruiwei Jiang,et al. Robust Unit Commitment With Wind Power and Pumped Storage Hydro , 2012, IEEE Transactions on Power Systems.
[19] S. Ruzic,et al. Optimal distance method for Lagrangian multipliers updating in short-term hydro-thermal coordination , 1998 .
[20] Min Dai,et al. Integration of Green and Renewable Energy in Electric Power Systems , 2009 .
[21] M. Shahidehpour,et al. Hourly Electricity Demand Response in the Stochastic Day-Ahead Scheduling of Coordinated Electricity and Natural Gas Networks , 2016, IEEE Transactions on Power Systems.
[22] Yongpei Guan,et al. Data-Driven Stochastic Unit Commitment for Integrating Wind Generation , 2016, IEEE Transactions on Power Systems.
[23] P. Wolfe. Note on a method of conjugate subgradients for minimizing nondifferentiable functions , 1974 .
[24] A. David,et al. Optimal bidding strategies and modeling of imperfect information among competitive generators , 2001 .
[25] Sinda Ben Salem. Gestion robuste de la production électrique à horizon court terme , 2011 .
[26] Raouia Taktak,et al. An overview on mathematical programming approaches for the deterministic unit commitment problem in hydro valleys , 2017 .
[27] Arkadi Nemirovski,et al. Robust solutions of Linear Programming problems contaminated with uncertain data , 2000, Math. Program..
[28] Annabella Astorino,et al. Piecewise-quadratic Approximations in Convex Numerical Optimization , 2011, SIAM J. Optim..
[29] Jorge Valenzuela,et al. Oligopoly models for market price of electricity under demand uncertainty and unit reliability , 2007, Eur. J. Oper. Res..
[30] D. Bertsekas,et al. Solution of Large-Scale Optimal Unit Commitment Problems , 1982, IEEE Transactions on Power Apparatus and Systems.
[31] Antonio J. Conejo,et al. Unit Commitment Under Gas-Supply Uncertainty and Gas-Price Variability , 2017, IEEE Transactions on Power Systems.
[32] H. H. Happ,et al. Large Scale Hydro-Thermal Unit Commitment-Method and Results , 1971 .
[33] Deepak Rajan,et al. IBM Research Report Minimum Up/Down Polytopes of the Unit Commitment Problem with Start-Up Costs , 2005 .
[34] R. Jabr. Robust self-scheduling under price uncertainty using conditional value-at-risk , 2005, IEEE Transactions on Power Systems.
[35] M. P. Nowak. Stochastic lagrangian relaxation in power scheduling of a hydro-thermal system under uncertainty , 2000 .
[36] C. Huang,et al. A new thermal unit commitment approach using constraint logic programming , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.
[37] Avijit Banerjee,et al. Solving Unit Commitment Problem with Parallel Computing , 2014 .
[38] Marshall L. Fisher,et al. Optimal Solution of Scheduling Problems Using Lagrange Multipliers: Part I , 1973, Oper. Res..
[39] R. P. Kumudini Devi,et al. Hybrid Evolutionary Programming Approach to Multi-Area Unit Commitment with Import and Export Constraints , 2009 .
[40] Enzo Sauma,et al. Electric Interconnections in the Andes Community: Threats and Opportunities , 2012 .
[41] Martin Branda,et al. Nonlinear Chance Constrained Problems: Optimality Conditions, Regularization and Solvers , 2016, Journal of Optimization Theory and Applications.
[42] Jean Charles Gilbert,et al. Numerical Optimization: Theoretical and Practical Aspects , 2003 .
[43] J. Waight,et al. Experiences with Mixed Integer Linear Programming-Based Approaches in Short-Term Hydro Scheduling , 2001, IEEE Power Engineering Review.
[44] M. Shahidehpour,et al. Accelerating the Benders decomposition for network-constrained unit commitment problems , 2010 .
[45] K. Tomsovic,et al. Congestion influence on bidding strategies in an electricity market , 2003 .
[46] Yuping Huang,et al. Two-stage stochastic unit commitment model including non-generation resources with conditional value-at-risk constraints , 2014 .
[47] René Henrion,et al. On M-stationarity conditions in MPECs and the associated qualification conditions , 2016, Math. Program..
[48] Jorge Valenzuela,et al. Commitment of Electric Power Generators Under Stochastic Market Prices , 2003, Oper. Res..
[49] F. A. Campos,et al. Connecting the Intraday Energy and Reserve Markets by an Optimal Redispatch , 2007, IEEE Transactions on Power Systems.
[50] András Prékopa. Static Stochastic Programming Models , 1995 .
[51] Elena Lopez,et al. A Decision Support Model for Weekly Operation of Hydrothermal Systems by Stochastic Nonlinear Optimization , 2011 .
[52] Seyed Hamid Hosseini,et al. Stochastic security constrained unit commitment incorporating demand side reserve , 2014 .
[53] Jianxue Wang,et al. Operating reserve model in the power market , 2005 .
[54] Sarah M. Ryan,et al. Robust optimization vs. stochastic programming incorporating risk measures for unit commitment with uncertain variable renewable generation , 2019 .
[55] Wim van Ackooij,et al. Optimizing financial and physical assets with chance-constrained programming in the electrical industry , 2011 .
[56] Michael Ferris,et al. Co-optimization of generation unit commitment and transmission switching with N-1 reliability , 2010, IEEE PES General Meeting.
[57] Sarah M. Ryan,et al. Statistical reliability of wind power scenarios and stochastic unit commitment cost , 2017 .
[58] G. Anders. Genetration Planning Model with Reliability Constraints , 1981, IEEE Transactions on Power Apparatus and Systems.
[59] Peter B. Luh,et al. Optimization-based scheduling of hydrothermal power systems with pumped-storage units , 1994 .
[60] Ettore Francesco Bompard,et al. Models of Strategic Bidding in Electricity Markets Under Network Constraints , 2012 .
[61] Maria Vrakopoulou,et al. Stochastic security constrained unit commitment and non-spinning reserve allocation with performance guarantees , 2015 .
[62] Daniel Kuhn,et al. Distributionally robust joint chance constraints with second-order moment information , 2011, Mathematical Programming.
[63] Jérôme Malick,et al. Prices stabilization for inexact unit-commitment problems , 2013, Math. Methods Oper. Res..
[64] Werner Römisch,et al. Stochastic Lagrangian Relaxation Applied to Power Scheduling in a Hydro-Thermal System under Uncertainty , 2000, Ann. Oper. Res..
[65] F.D. Galiana,et al. Unit commitment with primary frequency regulation constraints , 2005, IEEE Transactions on Power Systems.
[66] Xiao-Ping Zhang,et al. Impacts of Energy Storage on Short Term Operation Planning Under Centralized Spot Markets , 2014, IEEE Transactions on Smart Grid.
[67] Jérôme De Boeck,et al. Optimizing power generation in the presence of micro-grids , 2018, Eur. J. Oper. Res..
[68] Antonio Frangioni,et al. Large-scale Unit Commitment under uncertainty: a literature survey , 2014 .
[69] T. Muche. Optimal operation and forecasting policy for pump storage plants in day-ahead markets , 2014 .
[70] Stefan Feltenmark,et al. Dual Applications of Proximal Bundle Methods, Including Lagrangian Relaxation of Nonconvex Problems , 1999, SIAM J. Optim..
[71] Pierre Fouilhoux,et al. On the complexity of the Unit Commitment Problem , 2019, Ann. Oper. Res..
[72] F. T. Sparrow,et al. On convexity issues of short-term hydrothermal scheduling , 2000 .
[73] Claude Lemaréchal,et al. Bundle Methods in Stochastic Optimal Power Management: A Disaggregated Approach Using Preconditioners , 2001, Comput. Optim. Appl..
[74] Yongpei Guan,et al. Uncertainty Sets for Robust Unit Commitment , 2014, IEEE Transactions on Power Systems.
[75] L. T. Anstine,et al. Application of Probability Methods to the Determination of Spinning Reserve Requirements for the Pennsylvania-New Jersey-Maryland Interconnection , 1963 .
[76] R. Adapa,et al. A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches , 1999 .
[77] Juan M. Corchado,et al. A novel stochastic reserve cost allocation approach of electricity market agents in the restructured power systems , 2017 .
[78] Claudio Gentile,et al. Tight MIP formulations of the power-based unit commitment problem , 2015, OR Spectr..
[79] Zuyi Li,et al. Modeling and Solution of the Large-Scale Security-Constrained Unit Commitment , 2013, IEEE Transactions on Power Systems.
[80] Richard C. Wilson,et al. An Application of Mixed-Integer Programming Duality to Scheduling Thermal Generating Systems , 1968 .
[81] René Henrion,et al. A mixed-integer stochastic nonlinear optimization problem with joint probabilistic constraints , 2013 .
[82] Mohammad Shahidehpour,et al. Generation scheduling with thermal stress constraints , 2003 .
[83] A. Papavasiliou,et al. Reserve Requirements for Wind Power Integration: A Scenario-Based Stochastic Programming Framework , 2011, IEEE Transactions on Power Systems.
[84] Joao P. S. Catalao,et al. New probabilistic method for solving economic dispatch and unit commitment problems incorporating uncertainty due to renewable energy integration , 2016 .
[85] P. Kall. STOCHASTIC LINEAR PROGRAMMING Models , Theory , and Computation , 2013 .
[86] M. H. Sendaula,et al. Application of artificial neural networks to unit commitment , 1991, Proceedings of the First International Forum on Applications of Neural Networks to Power Systems.
[87] O. Nilsson,et al. Mixed-integer programming applied to short-term planning of a hydro-thermal system , 1995 .
[88] Juan P. Ruiz,et al. Stochastic unit commitment with sub-hourly dispatch constraints , 2013 .
[89] Pandelis N. Biskas,et al. Multiple Time Resolution Stochastic Scheduling for Systems With High Renewable Penetration , 2017, IEEE Transactions on Power Systems.
[90] S.. SHORT-TERM GENERATION SCHEDULING WITH TRANSMISSION AND ENVIRONMENTAL CONSTRAINTS USING AN AUGMENTED LAGRANGIAN RELAXATION , 2009 .
[91] René Henrion,et al. Subdifferential characterization of continuous probability functions under Gaussian distribution , 2017 .
[92] Vahan Gevorgian,et al. Market Designs for the Primary Frequency Response Ancillary Service—Part I: Motivation and Design , 2014, IEEE Transactions on Power Systems.
[93] Andrzej Ruszczyński,et al. 2. Two-Stage Problems , 2009 .
[94] René Henrion,et al. A Gradient Formula for Linear Chance Constraints Under Gaussian Distribution , 2012, Math. Oper. Res..
[95] Michel Minoux,et al. Solving some Multistage Robust Decision Problems with Huge Implicitly Defined Scenario Trees , 2009, Algorithmic Oper. Res..
[96] D. Kirschen,et al. Optimal scheduling of spinning reserve , 1999 .
[97] Mathematisch-Naturwissenschaftlichen Fakultät,et al. Explicit Stationarity Conditions and Solution Characterization for Equilibrium Problems with Equilibrium Constraints , 2010 .
[98] W. Römisch. Stability of Stochastic Programming Problems , 2003 .
[99] A. Borghetti,et al. An MILP Approach for Short-Term Hydro Scheduling and Unit Commitment With Head-Dependent Reservoir , 2008, IEEE Transactions on Power Systems.
[100] Tim Schulze,et al. The value of stochastic programming in day-ahead and intra-day generation unit commitment , 2016 .
[101] Antonio J. Conejo,et al. Short-Term Trading for Electricity Producers , 2011 .
[102] Eugenio Mijangos,et al. A new optimal electricity market bid model solved through perspective cuts , 2013 .
[103] R. H. Kerr,et al. Unit commitment , 1966, Mathematical Programming for Power Systems Operation with Applications in Python.
[104] Peter B. Luh,et al. An algorithm for solving the dual problem of hydrothermal scheduling , 1998 .
[105] Claudio Gentile,et al. Solving unit commitment problems with general ramp constraints , 2008 .
[106] Anthony Papavasiliou,et al. A comparative study of stochastic unit commitment and security-constrained unit commitment using high performance computing , 2013, 2013 European Control Conference (ECC).
[107] Richi Nayak,et al. A hybrid neural network and simulated annealing approach to the unit commitment problem , 2000 .
[108] Romain Apparigliato,et al. Règles de décision pour la gestion du risque : Application à la gestion hebdomadaire de la production électrique. , 2008 .
[109] Xiao-Ping Zhang,et al. A Solution to the Chance-Constrained Two-Stage Stochastic Program for Unit Commitment With Wind Energy Integration , 2016, IEEE Transactions on Power Systems.
[110] G. Dantzig. 23. A Decomposition Principle for Linear Programs , 1963 .
[111] Tapas K. Das,et al. Finding Joint Bidding Strategies for Day-Ahead Electricity and Related Markets , 2012 .
[112] Goran Strbac,et al. Stochastic Scheduling With Inertia-Dependent Fast Frequency Response Requirements , 2016, IEEE Transactions on Power Systems.
[113] K. Ea. The electricity Spot markets prices modeling: Proposal for a new mathematical formulation taking into account the market player strategy , 2012, 2012 9th International Conference on the European Energy Market.
[114] Hanif D. Sherali,et al. A modification of Benders' decomposition algorithm for discrete subproblems: An approach for stochastic programs with integer recourse , 2002, J. Glob. Optim..
[115] Rudiger Schultz,et al. Unit Commitment under Uncertainty via Two-Stage Stochastic Programming , 1997 .
[116] Anthony Papavasiliou,et al. Multiarea Stochastic Unit Commitment for High Wind Penetration in a Transmission Constrained Network , 2013, Oper. Res..
[117] David G. Luenberger,et al. Linear and nonlinear programming , 1984 .
[118] Peter B. Luh,et al. An optimization-based algorithm for scheduling hydrothermal power systems with cascaded reservoirs and discrete hydro constraints , 1997 .
[119] K. Hara,et al. A Method for Planning Economic Unit Commitment and Maintenance of Thermal Power Systems , 1966 .
[120] A. Y. Abdelaziz,et al. An Augmented Hopfield Neural Network for Optimal Thermal Unit Commitment , 2010 .
[121] Yu An,et al. Exploring the Modeling Capacity of Two-Stage Robust Optimization: Variants of Robust Unit Commitment Model , 2015 .
[122] Michael Chertkov,et al. Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty , 2012, SIAM Rev..
[123] K. M. Dale,et al. A Study of the Economic Shutdown of Generating Units in Daily Dispatch , 1959, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.
[124] Maria Fonoberova,et al. Algorithms for Finding Optimal Flows in Dynamic Networks , 2010 .
[125] Jirí Vladimír Outrata,et al. On the numerical solution of a class of Stackelberg problems , 1990, ZOR Methods Model. Oper. Res..
[126] Laurent Capely,et al. Cutting plane approaches for frequency constrained economic dispatch problems , 2018 .
[127] M. Piekutowski,et al. Optimal short-term scheduling for a large-scale cascaded hydro system , 1993 .
[128] Hiroshi Sasaki,et al. A solution method of unit commitment by artificial neural networks , 1992 .
[129] S. Rourke,et al. Optimal integrated generation bidding and scheduling with risk management under a deregulated power market , 2004, IEEE Transactions on Power Systems.
[130] Dimitri P. Bertsekas,et al. Dynamic programming & optimal control , volume i , 2014 .
[131] F. Magnago,et al. Impact of demand response resources on unit commitment and dispatch in a day-ahead electricity market , 2015 .
[132] Roy Billinton,et al. Capacity reserve assessment using system well-being analysis , 1999 .
[133] T. Ralphs,et al. Decomposition Methods , 2010 .
[134] E. Grant Read,et al. Co-Optimization of Energy and Ancillary Service Markets , 2010 .
[135] Didier Georges. Optimal unit commitment in simulations of hydrothermal power systems: an augmented Lagrangian approach , 1994, Simul. Pract. Theory.
[136] Fabio D'Andreagiovanni,et al. Robust Optimization under Multi-band Uncertainty - Part I: Theory , 2013, ArXiv.
[137] Jin-Shyr Yang,et al. Short Term Hydrothermal Coordination Using Multi-Pass Dynamic Programming , 1989, IEEE Power Engineering Review.
[138] Mark O'Malley,et al. Augmented Hopfield network for unit commitment and economic dispatch , 1997 .
[139] Mehdi Vakilian,et al. Stochastic unit commitment of wind farms integrated in power system , 2010 .
[140] C. Beltran,et al. Unit Commitment by Augmented Lagrangian Relaxation: Testing Two Decomposition Approaches , 2002 .
[141] M. Ventosa,et al. Electricity market modeling trends , 2005 .
[142] Alberto Borghetti,et al. Using of a cost-based unit commitment algorithm to assist bidding strategy decisions , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.
[143] Yong Fu,et al. Fully Parallel Stochastic Security-Constrained Unit Commitment , 2016, IEEE Transactions on Power Systems.
[144] A. Turgeon. Optimal scheduling of thermal generating units , 1978 .
[145] K. C. Kiwiel,et al. Bundle Methods for Convex Minimization with Partially Inexact , 2010 .
[146] P. Sauer,et al. Uncertainty Management in the Unit Commitment Problem , 2009, IEEE Transactions on Power Systems.
[147] Jérôme Malick,et al. Decomposition algorithm for large-scale two-stage unit-commitment , 2016, Ann. Oper. Res..
[148] Abdou Ka Diongue. Modélisation longue mémoire multivariée : applications aux problématiques du producteur d'EDF dans le cadre de la libéralisation du marché européen de l'électricité , 2005 .
[149] D. Bertsekas,et al. Optimal short-term scheduling of large-scale power systems , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.
[150] J. Frédéric Bonnans,et al. Numerical Optimization: Theoretical and Practical Aspects (Universitext) , 2006 .
[151] Ali Ahmadi-Khatir,et al. Probabilistic Spinning Reserve Provision Model in Multi-Control Zone Power System , 2013, IEEE Transactions on Power Systems.
[152] S. M. Shahidehpour,et al. Effects of ramp-rate limits on unit commitment and economic dispatch , 1993 .
[153] Weerakorn Ongsakul,et al. Ramp rate constrained unit commitment by improved priority list and augmented Lagrange Hopfield network , 2008 .
[154] Enzo Sauma,et al. Unit commitment with ideal and generic energy storage units , 2016, 2016 IEEE Power and Energy Society General Meeting (PESGM).
[155] Santiago Grijalva,et al. Large-scale decentralized unit commitment , 2015 .
[156] Philippe Dessante,et al. Frequency constrained unit commitment , 2014 .
[157] Werner Römisch,et al. Scenario tree reduction for multistage stochastic programs , 2009, Comput. Manag. Sci..
[158] Gilbert Laporte,et al. The integer L-shaped method for stochastic integer programs with complete recourse , 1993, Oper. Res. Lett..
[159] John R. Birge,et al. Stochastic Unit Commitment Problem (あいまいさと不確実性を含む状況の数理的意思決定 研究集会報告集) , 2002 .
[160] Kory W. Hedman,et al. Optimal transmission switching: economic efficiency and market implications , 2011 .
[161] J. Lavaei,et al. Conic relaxations of the unit commitment problem , 2017 .
[162] M. Sailaja Kumari,et al. Demand response and pumped hydro storage scheduling for balancing wind power uncertainties: A probabilistic unit commitment approach , 2016 .
[163] Arkadi Nemirovski,et al. Robust Convex Optimization , 1998, Math. Oper. Res..
[164] John W. Chinneck,et al. Linear programming with interval coefficients , 2000, J. Oper. Res. Soc..
[165] Panos M. Pardalos,et al. A decomposition approach to the two-stage stochastic unit commitment problem , 2012, Annals of Operations Research.
[166] Y. W. Wong,et al. Genetic and genetic/simulated-annealing approaches to economic dispatch , 1994 .
[167] Csaba I. Fábián. Computational aspects of risk-averse optimizationin two-stage stochastic models , 2013 .
[168] Abdul Razak Hamdan,et al. Comprehensive algorithm for hydrothermal coordination , 1997 .
[169] Murilo Reolon Scuzziato,et al. A comparative analysis of different dual problems in the Lagrangian Relaxation context for solving the Hydro Unit Commitment problem , 2014 .
[170] Pierre Fouilhoux,et al. Orbitopal fixing for the full (sub-)orbitope and application to the Unit Commitment Problem , 2021, Math. Program..
[171] S. Oren,et al. Solving the Unit Commitment Problem by a Unit Decommitment Method , 2000 .
[172] Kenneth Bruninx,et al. Endogenous probabilistic reserve sizing and allocation in unit commitment models: Cost-effective, reliable and fast , 2017, 2017 IEEE Power & Energy Society General Meeting.
[173] Werner Römisch,et al. Scenario Reduction Algorithms in Stochastic Programming , 2003, Comput. Optim. Appl..
[174] M. Anjos,et al. Tight Mixed Integer Linear Programming Formulations for the Unit Commitment Problem , 2012, IEEE Transactions on Power Systems.
[175] Stanislav Uryasev,et al. Conditional Value-at-Risk for General Loss Distributions , 2002 .
[176] Damian Flynn,et al. Inertia considerations within unit commitment and economic dispatch for systems with high non-synchronous penetrations , 2015, 2015 IEEE Eindhoven PowerTech.
[177] Benjamin F. Hobbs,et al. Real-Time Markets for Flexiramp: A Stochastic Unit Commitment-Based Analysis , 2016, IEEE Transactions on Power Systems.
[178] Guang Li,et al. Two-stage network constrained robust unit commitment problem , 2014, Eur. J. Oper. Res..
[179] Behnam Mohammadi-Ivatloo,et al. A semi-analytical non-iterative primary approach based on priority list to solve unit commitment problem , 2015 .
[180] Joao P. S. Catalao,et al. Nonlinear optimization method for short‐term hydro scheduling considering head‐dependency , 2008 .
[181] Philip E. Gill,et al. Practical optimization , 1981 .
[182] A. David,et al. Strategic bidding in competitive electricity markets: a literature survey , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).
[183] Giuseppe Carlo Calafiore,et al. Uncertain convex programs: randomized solutions and confidence levels , 2005, Math. Program..
[184] Egon Balas,et al. A lift-and-project cutting plane algorithm for mixed 0–1 programs , 1993, Math. Program..
[185] W. J. Hobbs,et al. An enhanced dynamic programming approach for unit commitment , 1988 .
[186] K. W. Edwin,et al. Integer Programming Approach to the Problem of Optimal Unit Commitment with Probabilistic Reserve Determination , 1978, IEEE Transactions on Power Apparatus and Systems.
[187] Jiaming LI,et al. Low-carbon unit commitment with intensive wind power generation and carbon capture power plant , 2015 .
[188] J. Ostrowski,et al. Exploiting Symmetry in Transmission Lines for Transmission Switching , 2012, IEEE Transactions on Power Systems.
[189] Jitka Dupacová,et al. Scenario reduction in stochastic programming , 2003, Math. Program..
[190] Antonio Frangioni,et al. Incremental Bundle Methods using Upper Models , 2018, SIAM J. Optim..
[191] Wei Tian,et al. Chance-Constrained Day-Ahead Scheduling in Stochastic Power System Operation , 2014, IEEE Transactions on Power Systems.
[192] Jean-Philippe Vial,et al. Robust Optimization for Environmental and Energy Planning , 2009 .
[193] Kevin Tomsovic,et al. Robust unit commitment considering uncertain demand response , 2015 .
[194] Hamed Ahmadi,et al. Security-Constrained Unit Commitment With Linearized System Frequency Limit Constraints , 2014, IEEE Transactions on Power Systems.
[195] J. Ostrowski,et al. Static Switching Security in Multi-Period Transmission Switching , 2012, IEEE Transactions on Power Systems.
[196] René Henrion,et al. Joint Model of Probabilistic-Robust (Probust) Constraints Applied to Gas Network Optimization , 2020, Vietnam Journal of Mathematics.
[197] Yongjia Song,et al. Adaptive Partition-Based Level Decomposition Methods for Solving Two-Stage Stochastic Programs with Fixed Recourse , 2018, INFORMS J. Comput..
[198] René Henrion,et al. On the quantification of nomination feasibility in stationary gas networks with random load , 2016, Math. Methods Oper. Res..
[199] P. Luh,et al. Nonlinear approximation method in Lagrangian relaxation-based algorithms for hydrothermal scheduling , 1995 .
[200] Patrizia Beraldi,et al. A two-stage stochastic programming model for electric energy producers , 2008, Comput. Oper. Res..
[201] J. Birge,et al. Using integer programming to refine Lagrangian-based unit commitment solutions , 2000 .
[202] Wim van Ackooij,et al. Eventual convexity of chance constrained feasible sets , 2015 .
[203] Md. Sayeed Salam,et al. Integrating an expert system into a thermal unit-commitment algorithm , 1991 .
[204] J. Contreras,et al. Price-Maker Self-Scheduling in a Pool-Based Electricity Market: A Mixed-Integer LP Approach , 2002, IEEE Power Engineering Review.
[205] Andrzej Ruszczynski,et al. On Convergence of an Augmented Lagrangian Decomposition Method for Sparse Convex Optimization , 1995, Math. Oper. Res..
[206] Nataliya I. Kalashnykova,et al. Bilevel Programming Problems , 2015 .
[207] S. Wallace,et al. Stochastic Programming Models in Energy , 2003 .
[208] L. L. Garver,et al. Power Generation Scheduling by Integer Programming-Development of Theory , 1962, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.
[209] P. Tseng. Convergence of a Block Coordinate Descent Method for Nondifferentiable Minimization , 2001 .
[210] Dimitris Bertsimas,et al. Tractable stochastic analysis in high dimensions via robust optimization , 2012, Math. Program..
[211] M. Ventosa,et al. Optimal offering strategies for generation companies operating in electricity spot markets , 2004, IEEE Transactions on Power Systems.
[212] B. Fox,et al. Optimal thermal unit scheduling using improved dynamic programming algorithm , 1986 .
[213] Arthur I. Cohen,et al. A Branch-and-Bound Algorithm for Unit Commitment , 1983, IEEE Transactions on Power Apparatus and Systems.
[214] Claus C. Carøe,et al. A Two-Stage Stochastic Program for Unit Commitment Under Uncertainty in a Hydro-Thermal Power System , 2011 .
[215] G. J. Berg,et al. Voltampere reactive compensation using chance-constrained programming , 1982 .
[216] A. Conejo,et al. Economic Valuation of Reserves in Power Systems With High Penetration of Wind Power , 2009 .
[217] S. Palamarchuk,et al. Compromise Scheduling of Bilateral Contracts in Electricity Market Environment , 2012 .
[218] Dissertação De Mestrado Apresentada,et al. WIND POWER FORECASTING UNCERTAINTY AND UNIT COMMITMENT , 2014 .
[219] Mohammad Shahidehpour,et al. Modeling Transmission Line Constraints in Two-Stage Robust Unit Commitment Problem , 2015, IEEE Transactions on Power Systems.
[220] S. M. Shahidehpour,et al. An intelligent dynamic programming for unit commitment application , 1991 .
[221] Constantine Caramanis,et al. Theory and Applications of Robust Optimization , 2010, SIAM Rev..
[222] Chi Zhang,et al. Optimal Transmission Switching Considering Probabilistic Reliability , 2014, IEEE Transactions on Power Systems.
[223] Laurence A. Wolsey,et al. Two “well-known” properties of subgradient optimization , 2009, Math. Program..
[224] James R. Luedtke,et al. A Cycle-Based Formulation and Valid Inequalities for DC Power Transmission Problems with Switching , 2014, Oper. Res..
[225] Shmuel S. Oren,et al. Volatility of unit commitment in competitive electricity markets , 1997, Proceedings of the Thirtieth Hawaii International Conference on System Sciences.
[226] François Lévêque,et al. Competitive Electricity Markets and Sustainability , 2006 .
[227] A. J. Svoboda,et al. A new unit commitment method , 1997 .
[228] A. Vargas,et al. Short-term hydrothermal coordination considering an AC network modeling , 2007 .
[229] Xiaohong Guan,et al. Scheduling hydrothermal power systems with cascaded and head-dependent reservoirs , 1999 .
[230] R. Rockafellar,et al. Optimization of conditional value-at risk , 2000 .
[231] M. Shahidehpour,et al. Fast SCUC for Large-Scale Power Systems , 2007, IEEE Transactions on Power Systems.
[232] Costas Vournas,et al. Unit commitment by an enhanced simulated annealing algorithm , 2006 .
[233] Gerald B. Sheblé,et al. Unit commitment by genetic algorithm with penalty methods and a comparison of Lagrangian search and genetic algorithm—economic dispatch example , 1996 .
[234] Tharam S. Dillon,et al. The Application of Combinatorial Methods to the Problems of Maintenance Scheduling and Unit Commitment in Large Power Systems , 1976 .
[235] Ilker Yilmaz,et al. Suppression of Time-Varying Interharmonics Produced by Medium-Frequency Induction Melting Furnaces by a HAPF System , 2017, IEEE Transactions on Power Electronics.
[236] A. Nemirovski,et al. Scenario Approximations of Chance Constraints , 2006 .
[237] Yongpei Guan,et al. Two-stage robust optimization for N-k contingency-constrained unit commitment , 2012, IEEE Transactions on Power Systems.
[238] Xiao Liu,et al. Decomposition algorithms for two-stage chance-constrained programs , 2014, Mathematical Programming.
[239] Md. Sayeed Salam,et al. Hydrothermal scheduling based Lagrangian relaxation approach to hydrothermal coordination , 1998 .
[240] Yongpei Guan,et al. Unified Stochastic and Robust Unit Commitment , 2013, IEEE Transactions on Power Systems.
[241] Patrizia Beraldi,et al. Optimal capacity allocation in multi-auction electricity markets under uncertainty , 2005, Comput. Oper. Res..
[242] Claudia A. Sagastizábal,et al. Level bundle methods for oracles with on-demand accuracy , 2014, Optim. Methods Softw..
[243] A.H. Mantawy,et al. A new tabu search algorithm for the long-term hydro scheduling problem , 2002, LESCOPE'02. 2002 Large Engineering Systems Conference on Power Engineering. Conference Proceedings.
[244] Claude Lemaréchal,et al. On a primal-proximal heuristic in discrete optimization , 2005, Math. Program..
[245] Hong-Tzer Yang,et al. Evolutionary programming based economic dispatch for units with non-smooth fuel cost functions , 1996 .
[246] Jiaying Shi,et al. Stochastic Unit Commitment With Topology Control Recourse for Power Systems With Large-Scale Renewable Integration , 2018, IEEE Transactions on Power Systems.
[247] N. Oudjane,et al. Some non-Gaussian models for electricity spot prices , 2006, 2006 International Conference on Probabilistic Methods Applied to Power Systems.
[248] Vincent Guigues,et al. Robust production management , 2009 .
[249] Jesse T. Holzer,et al. Implementation of a Large-Scale Optimal Power Flow Solver Based on Semidefinite Programming , 2013, IEEE Transactions on Power Systems.
[250] A. Merlin,et al. A New Method for Unit Commitment at Electricite De France , 1983, IEEE Transactions on Power Apparatus and Systems.
[251] Antonio J. Conejo,et al. Short-term hydro-thermal coordination by Lagrangian relaxation: solution of the dual problem , 1999 .
[252] Gengyin Li,et al. Interval optimization combined with point estimate method for stochastic security-constrained unit commitment , 2014 .
[253] Aleksandr Rudkevich,et al. Reduced MIP formulation for transmission topology control , 2012, 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton).
[254] W. Marsden. I and J , 2012 .
[255] Hongxing Ye,et al. Robust Security-Constrained Unit Commitment and Dispatch With Recourse Cost Requirement , 2016, IEEE Transactions on Power Systems.
[256] Chiang-Tsung Huang,et al. Dynamic security constrained multi-area unit commitment , 1991 .
[257] Silvano Martello,et al. Decision Making under Uncertainty in Electricity Markets , 2015, J. Oper. Res. Soc..
[258] S. Low,et al. Zero Duality Gap in Optimal Power Flow Problem , 2012, IEEE Transactions on Power Systems.
[259] J. M. Arroyo,et al. Contingency-Constrained Unit Commitment With $n - K$ Security Criterion: A Robust Optimization Approach , 2011, IEEE Transactions on Power Systems.
[260] Ignacio Blanco,et al. An Efficient Robust Solution to the Two-Stage Stochastic Unit Commitment Problem , 2016, IEEE Transactions on Power Systems.
[261] Daniel M. Frances,et al. Optimization-Based Bidding in Day-Ahead Electricity Auction Markets: A Review of Models for Power Producers , 2012 .
[262] René Henrion,et al. A joint model of probabilistic/robust constraints for gas transport management in stationary networks , 2017, Comput. Manag. Sci..
[263] Samer Takriti,et al. Incorporating Fuel Constraints and Electricity Spot Prices into the Stochastic Unit Commitment Problem , 2000, Oper. Res..
[264] Risto Lahdelma,et al. Non-convex power plant modelling in energy optimisation , 2006, Eur. J. Oper. Res..
[265] Yongpei Guan,et al. Two-Stage Minimax Regret Robust Unit Commitment , 2013, IEEE Transactions on Power Systems.
[266] M. Shahidehpour,et al. Extended Benders Decomposition for Two-Stage SCUC , 2010, IEEE Transactions on Power Systems.
[267] Tao Li,et al. Strategic bidding of transmission-constrained GENCOs with incomplete information , 2005, IEEE Transactions on Power Systems.
[268] Antonio Frangioni,et al. Convergence Analysis of Deflected Conditional Approximate Subgradient Methods , 2009, SIAM J. Optim..
[269] Marc E. Pfetsch,et al. Orbitopal Fixing , 2007, IPCO.
[270] Fabricio Y. K. Takigawa,et al. A decomposition strategy to solve the Short-Term Hydrothermal Scheduling based on Lagrangian Relaxation , 2010, 2010 IEEE/PES Transmission and Distribution Conference and Exposition: Latin America (T&D-LA).
[271] Lei Wu. A Tighter Piecewise Linear Approximation of Quadratic Cost Curves for Unit Commitment Problems , 2011, IEEE Transactions on Power Systems.
[272] Arash Etemadi,et al. Treatment of uncertainty for next generation power systems: State-of-the-art in stochastic optimization , 2016 .
[273] C.K. Pang,et al. Optimal short-term thermal unit commitment , 1976, IEEE Transactions on Power Apparatus and Systems.
[274] Sarah M. Ryan,et al. Solution sensitivity-based scenario reduction for stochastic unit commitment , 2014, Computational Management Science.
[275] Secundino Soares,et al. Short term hydroelectric scheduling combining network flow and interior point approaches , 2005 .
[276] Dimitri Bertsekas,et al. Optimal Scheduling Of Large Hydrothermal Power Systems , 1985, IEEE Transactions on Power Apparatus and Systems.
[277] J. Bubenko,et al. Application of Decomposition Techniques to Short-Term Operation Planning of Hydrothermal Power System , 1986, IEEE Transactions on Power Systems.
[278] Weixun Ge,et al. Ramp Rate Constrained Unit Commitment by Improved Priority List and Enhanced Particle Swarm Optimization , 2010, 2010 International Conference on Computational Intelligence and Software Engineering.
[279] H. Gil,et al. Forecasting Prices in Electricity Markets: Needs, Tools and Limitations , 2012 .
[280] B. Hobbs,et al. Complementarity Modeling in Energy Markets , 2012 .
[281] Alice E. Smith,et al. A Seeded Memetic Algorithm for Large Unit Commitment Problems , 2002, J. Heuristics.
[282] Abbas Rabiee,et al. Information gap decision theory approach to deal with wind power uncertainty in unit commitment , 2017 .
[283] D. Dasgupta,et al. Thermal unit commitment using genetic algorithms , 1994 .
[284] Danny H. K. Tsang,et al. Unit commitment problem: A new formulation and solution method , 2014 .
[285] Yan Xu,et al. A novel projected two-binary-variable formulation for unit commitmentin power systems , 2017 .
[286] Yurii Nesterov,et al. Primal-dual subgradient methods for convex problems , 2005, Math. Program..
[287] R. Adapa,et al. Multi-area unit commitment via sequential method and a DC power flow network model , 1994 .
[288] M. Ferris,et al. Optimal Transmission Switching , 2008, IEEE Transactions on Power Systems.
[289] René Henrion,et al. Gradient Formulae for Nonlinear Probabilistic Constraints with Gaussian and Gaussian-Like Distributions , 2014, SIAM J. Optim..
[290] Nataliya I. Kalashnykova,et al. Bilevel Programming Problems: Theory, Algorithms and Applications to Energy Networks , 2015 .
[291] Susumu Morito,et al. Unit Commitment by Column Generation , 2014, OR.
[292] Jérôme Malick,et al. Quadratic stabilization of Benders decomposition , 2014 .
[293] John A. Muckstadt,et al. An Application of Lagrangian Relaxation to Scheduling in Power-Generation Systems , 1977, Oper. Res..
[294] Antonio Frangioni,et al. About Lagrangian Methods in Integer Optimization , 2005, Ann. Oper. Res..
[295] Mohammad Shahidehpour,et al. Modeling Transmission Line Constraints in Two-Stage Robust Unit Commitment Problem , 2014 .
[296] John R. Birge,et al. A stochastic model for the unit commitment problem , 1996 .
[297] Peter B. Luh,et al. A bundle method for hydrothermal scheduling , 1999 .
[298] Rüdiger Schultz,et al. Unit commitment in electricity pool markets , 2006, Math. Program..
[299] M. Shahidehpour,et al. Security-Constrained Unit Commitment With Volatile Wind Power Generation , 2008, IEEE Transactions on Power Systems.
[300] Sohrab Khanmohammadi,et al. A primary unit commitment approach with a modification process , 2013, Appl. Soft Comput..
[301] Yang Jin-Shyr,et al. Short term hydrothermal coordination using multi-pass dynamic programming , 1989 .
[302] Claude Lemaréchal,et al. Comparison of bundle and classical column generation , 2008, Math. Program..
[303] B. Norman,et al. A solution to the stochastic unit commitment problem using chance constrained programming , 2004 .
[304] J. Dupacová,et al. Scenario reduction in stochastic programming: An approach using probability metrics , 2000 .
[305] Rabih A. Jabr,et al. Adjustable Robust OPF With Renewable Energy Sources , 2013, IEEE Transactions on Power Systems.
[306] Jean-Philippe Vial,et al. On Improvements to the Analytic Center Cutting Plane Method , 1998, Comput. Optim. Appl..
[307] C. Cardozo,et al. Placement journalier de la production avec contrainte sur le creux de fréquence en cas de perte d'un groupe par décomposition de Benders , 2016 .
[308] Hui Yan,et al. A new penalty function method for constrained optimization using harmony search algorithm , 2014, 2014 IEEE Congress on Evolutionary Computation (CEC).
[309] Z. K. Shawwash,et al. A Practical Hydro, Dynamic Unit Commitment and Loading Model , 2001, IEEE Power Engineering Review.
[310] René Henrion,et al. Metric regularity and quantitative stability in stochastic programs with probabilistic constraints , 1999, Math. Program..
[311] Susana Scheimberg,et al. Inexact Bundle Methods for Two-Stage Stochastic Programming , 2011, SIAM J. Optim..
[312] Roy Billinton,et al. Unit Commitment Risk Analysis of Wind Integrated Power Systems , 2009 .
[313] Erlon Cristian Finardi,et al. Hydro unit commitment and loading problem for day-ahead operation planning problem , 2013 .
[314] K. Tomsovic,et al. Discovering Price-Load Relationships in California's Electricity Market , 2001, IEEE Power Engineering Review.
[315] Alexander Shapiro,et al. Convex Approximations of Chance Constrained Programs , 2006, SIAM J. Optim..
[316] Warren P. Adams,et al. A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems , 1998 .
[317] Arkadi Nemirovski,et al. Robust solutions of uncertain linear programs , 1999, Oper. Res. Lett..
[318] David L. Woodruff,et al. Toward scalable stochastic unit commitment , 2015 .
[319] G. Demartini,et al. Dual programming methods for large-scale thermal generation scheduling , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.
[320] Javier Contreras,et al. Stochastic Unit Commitment in Isolated Systems With Renewable Penetration Under CVaR Assessment , 2016, IEEE Transactions on Smart Grid.
[321] René Henrion,et al. Scenario reduction in stochastic programming with respect to discrepancy distances , 2006, Comput. Optim. Appl..
[322] K. Manivannan,et al. Neural Based Tabu Search method for solving unit commitment problem , 2002 .
[323] John R. Birge,et al. An Improved Stochastic Unit Commitment Formulation to Accommodate Wind Uncertainty , 2016, IEEE Transactions on Power Systems.
[324] W.S. Sifuentes,et al. Hydrothermal Scheduling Using Benders Decomposition: Accelerating Techniques , 2007, IEEE Transactions on Power Systems.
[325] Peter B. Luh,et al. Grid Integration of Distributed Wind Generation: Hybrid Markovian and Interval Unit Commitment , 2015, IEEE Transactions on Smart Grid.
[326] Chanan Singh,et al. A Distributionally Robust Optimization Model for Unit Commitment Considering Uncertain Wind Power Generation , 2017, IEEE Transactions on Power Systems.
[327] Xiaohong Guan,et al. MILP formulation for short-term scheduling of cascaded reservoirs with head effects , 2011, 2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC).
[328] Mathijs de Weerdt,et al. Robust unit commitment with dispatchable wind power , 2018 .
[329] Huifu Xu,et al. Level Function Method for Quasiconvex Programming , 2001 .
[330] Claude Lemaréchal,et al. Convex proximal bundle methods in depth: a unified analysis for inexact oracles , 2014, Math. Program..
[331] James R. Luedtke. A branch-and-cut decomposition algorithm for solving chance-constrained mathematical programs with finite support , 2013, Mathematical Programming.
[332] Antonio J. Conejo,et al. Power generation scheduling considering stochastic emission limits , 2018 .
[333] Benjamin F. Hobbs,et al. Hidden power system inflexibilities imposed by traditional unit commitment formulations , 2017 .
[334] Diego J. Pedregal,et al. ECOTOOL: A general MATLAB Forecasting Toolbox with Applications to Electricity Markets , 2012 .
[335] René Henrion,et al. Joint model of probabilistic-robust (probust) constraints with application to gas network optimization , 2018 .
[336] Francisco D. Galiana,et al. Towards a more rigorous and practical unit commitment by Lagrangian relaxation , 1988 .
[337] T. Gjengedal,et al. Emission constrained unit-commitment (ECUC) , 1996 .
[338] René Henrion,et al. Chance Constrained Programming and Its Applications to Energy Management , 2011 .
[339] Anibal T. de Almeida,et al. Large Scale Integration of Wind Power Generation , 2010 .
[340] V. Palanisamy,et al. A dynamic programming based fast computation Hopfield neural network for unit commitment and economic dispatch , 2007 .
[341] Arkadi Nemirovski,et al. On Safe Tractable Approximations of Chance-Constrained Linear Matrix Inequalities , 2009, Math. Oper. Res..
[342] S. Granville,et al. Strategic bidding under uncertainty: a binary expansion approach , 2005, IEEE Transactions on Power Systems.
[343] Lei Wu. An Improved Decomposition Framework for Accelerating LSF and BD Based Methods for Network-Constrained UC Problems , 2013, IEEE Transactions on Power Systems.
[344] F. Albuyeh,et al. Evaluation of Dynamic Programming Based Methods and Multiple area Representation for Thermal Unit Commitments , 1981, IEEE Transactions on Power Apparatus and Systems.
[345] Claudio Gentile,et al. Solving Nonlinear Single-Unit Commitment Problems with Ramping Constraints , 2006, Oper. Res..
[346] I. A. Farhat,et al. Optimization methods applied for solving the short-term hydrothermal coordination problem , 2009 .
[347] Tsuyoshi Murata,et al. {m , 1934, ACML.
[348] J. Contreras,et al. Forecasting Next-Day Electricity Prices by Time Series Models , 2002, IEEE Power Engineering Review.
[349] Matthias Peter Nowak,et al. Stochastic Programming for Power Production and Trading under Uncertainty , 2003 .
[350] Antonio Frangioni,et al. Large-scale Unit Commitment under uncertainty , 2014, 4OR.
[351] Fabio D'Andreagiovanni,et al. New Results about Multi-band Uncertainty in Robust Optimization , 2012, SEA.
[352] M. Shahidehpour,et al. Unit commitment with flexible generating units , 2005, IEEE Transactions on Power Systems.
[353] Jeff T. Linderoth,et al. Orbital branching , 2007, Math. Program..
[354] Michel Gendreau,et al. The Benders decomposition algorithm: A literature review , 2017, Eur. J. Oper. Res..
[355] Shreya Mishra,et al. A solution to stochastic unit commitment problem for a wind-thermal system coordination , 2014 .
[356] Xuan Li,et al. Transmission constrained UC with wind power: An all-scenario-feasible MILP formulation with strong nonanticipativity , 2017 .
[357] Javier Contreras,et al. A Chance-Constrained Unit Commitment With an $n-K$ Security Criterion and Significant Wind Generation , 2013, IEEE Transactions on Power Systems.
[358] James R. Luedtke,et al. A Sample Approximation Approach for Optimization with Probabilistic Constraints , 2008, SIAM J. Optim..
[359] O. P. Malik,et al. Environmentally constrained unit commitment , 1992 .
[360] Andrea Lodi,et al. Lagrangian relaxation and Tabu Search approaches for the unit commitment problem , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).
[361] C. Gentile,et al. Sequential Lagrangian-MILP Approaches for Unit Commitment Problems , 2011 .
[362] A.M. Stankovic,et al. Finitely Adaptive Linear Programming in Robust Power System Optimization , 2007, 2007 IEEE Lausanne Power Tech.
[363] Marko Delimar,et al. Short term power system planning with water value and energy trade optimisation , 2011, 2011 8th International Conference on the European Energy Market (EEM).
[364] Claudio Gentile,et al. Perspective cuts for a class of convex 0–1 mixed integer programs , 2006, Math. Program..
[365] Monique Guignard-Spielberg,et al. Lagrangean decomposition: A model yielding stronger lagrangean bounds , 1987, Math. Program..
[366] Francisco D. Galiana,et al. Unit commitment by simulated annealing , 1990 .
[367] K. C. Almeida,et al. Short term hydrothermal scheduling with bilateral transactions via bundle method , 2007 .
[368] Takayuki Shiina,et al. Numerical solution technique for joint chance-constrained programming problem - An application to electric power capacity expansion - , 1999 .
[369] Qiaozhu Zhai,et al. A new method for unit commitment with ramping constraints , 2002 .
[370] P.A.-D.-V. Raj,et al. Integrating genetic algorithms and tabu search for unit commitment problem , 2010 .
[371] D. P. Kothari,et al. A solution to the unit commitment problem—a review , 2013 .
[372] Antonio Frangioni,et al. Comparing Spatial and Scenario Decomposition for Stochastic Hydrothermal Unit Commitment Problems , 2018, IEEE Transactions on Sustainable Energy.
[373] Jizhong Zhu,et al. Optimization of Power System Operation , 2009 .
[374] C.R. Philbrick,et al. Modeling Approaches for Computational Cost Reduction in Stochastic Unit Commitment Formulations , 2010, IEEE Transactions on Power Systems.
[375] Jie Li,et al. A chance-constrained wind range quantification approach to robust scuc by determining dynamic uncertainty intervals , 2016 .
[376] Michel Minoux,et al. Two-stage robust optimization, state-space representable uncertainty and applications , 2014, RAIRO Oper. Res..
[377] Zuyi Li,et al. Comparison of Scenario-Based and Interval Optimization Approaches to Stochastic SCUC , 2012, IEEE Transactions on Power Systems.
[378] Joao P. S. Catalao,et al. Parameterisation effect on the behaviour of a head-dependent hydro chain using a nonlinear model , 2006 .
[379] René Henrion,et al. Solving joint chance constrained problems using regularization and Benders’ decomposition , 2018, Annals of Operations Research.
[380] K. Chandrasekaran,et al. Network and reliability constrained unit commitment problem using binary real coded firefly algorithm , 2012 .
[381] Alexander Shapiro,et al. 3. Multistage Problems , 2009 .
[382] Antonio Muñoz San Roque,et al. Short-term Forecasting in Power Systems: A guided Tour , 2010 .
[383] Claudia A. Sagastizábal,et al. Divide to conquer: decomposition methods for energy optimization , 2012, Math. Program..
[384] Melvyn Sim,et al. Robust discrete optimization and network flows , 2003, Math. Program..
[385] Werner Römisch,et al. Stochastic Optimization of Electricity Portfolios: Scenario Tree Modeling and Risk Management , 2010 .
[386] Daniel S. Kirschen,et al. Toward Cost-Efficient and Reliable Unit Commitment Under Uncertainty , 2016, IEEE Transactions on Power Systems.
[387] Wei-Jen Lee,et al. Studies on stochastic unit commitment formulation with flexible generating units , 2010 .
[388] Jérôme Malick,et al. Regularized decomposition of large scale block-structured robust optimization problems , 2017, Comput. Manag. Sci..
[389] Daniel Bienstock,et al. The N-k Problem in Power Grids: New Models, Formulations, and Numerical Experiments , 2009, SIAM J. Optim..
[390] Houzhong Yan,et al. Scheduling of hydrothermal power systems using the augmented Lagrangian decomposition and coordination technique , 1994, Proceedings of 1994 American Control Conference - ACC '94.
[391] Erlon Cristian Finardi,et al. An Exact Solution Method for the Hydrothermal Unit Commitment Under Wind Power Uncertainty With Joint Probability Constraints , 2018, IEEE Transactions on Power Systems.
[392] M. R. Mohan,et al. An evolutionary programming-based tabu search method for solving the unit commitment problem , 2004, IEEE Transactions on Power Systems.
[393] Fevzi Ünlü. Introduction to Chance - constrained programming with duple potent convolution. , 1974 .
[394] Jianhui Wang,et al. Network reduction in the Transmission-Constrained Unit Commitment problem , 2012, Comput. Ind. Eng..
[395] Kory W. Hedman,et al. A review of transmission switching and network topology optimization , 2011, 2011 IEEE Power and Energy Society General Meeting.
[396] Sandia Report,et al. Energy Storage for the Electricity Grid: Benefits and Market Potential Assessment Guide A Study for the DOE Energy Storage Systems Program , 2010 .
[397] Stephan Dempe,et al. Is bilevel programming a special case of a mathematical program with complementarity constraints? , 2012, Math. Program..
[398] I. Erkmen,et al. Short-term hydrothermal coordination by using multi-pass dynamic programming with successive approximation , 1994, Proceedings of MELECON '94. Mediterranean Electrotechnical Conference.
[399] A. Worthington,et al. Stochastic price modeling of high volatility, mean-reverting, spike-prone commodities: The Australian wholesale spot electricity market , 2008 .
[400] Nelson Maculan,et al. The volume algorithm revisited: relation with bundle methods , 2002, Math. Program..
[401] R. Tyrrell Rockafellar,et al. Scenarios and Policy Aggregation in Optimization Under Uncertainty , 1991, Math. Oper. Res..
[402] D. Bienstock,et al. The N − k Problem in Power Grids : New Models , Formulations and Computation , 2010 .
[403] R. Schultz,et al. Stochastic Integer Programming , 2003 .
[404] Y. Al-Kalaani,et al. Storage and delivery constrained unit commitment , 1996 .
[405] R. Henrion,et al. Joint chance constrained programming for hydro reservoir management , 2013 .
[406] Jacques F. Benders,et al. Partitioning procedures for solving mixed-variables programming problems , 2005, Comput. Manag. Sci..
[407] Rabih A. Jabr,et al. Recent Developments in Optimal Power Flow Modeling Techniques , 2010 .
[408] Dimitris Bertsimas,et al. A Soft Robust Model for Optimization Under Ambiguity , 2010, Oper. Res..
[409] Francisco D. Galiana,et al. Generalized Sigma approach to unit commitment with uncertain wind power generation , 2015 .
[410] E.L. da Silva,et al. Solving the hydro unit commitment problem via dual decomposition and sequential quadratic programming , 2006, IEEE Transactions on Power Systems.
[411] Werner Römisch,et al. Decomposition of a multi-stage stochastic program for power dispatch , 1996 .
[412] Dimitri P. Bertsekas,et al. Nonlinear Programming , 1997 .
[413] Daniel S. Kirschen,et al. A Hybrid Stochastic/Interval Approach to Transmission-Constrained Unit Commitment , 2015, IEEE Transactions on Power Systems.
[414] Francisco J. Prieto,et al. Mathematical programming and electricity markets , 2001 .
[415] Lewis Ntaimo,et al. Adaptive multicut aggregation for two-stage stochastic linear programs with recourse , 2010, Eur. J. Oper. Res..
[416] Wim van Ackooij,et al. Decomposition approaches for block-structured chance-constrained programs with application to hydro-thermal unit commitment , 2014, Math. Methods Oper. Res..
[417] Yang Wang,et al. Unit Commitment With Volatile Node Injections by Using Interval Optimization , 2011, IEEE Transactions on Power Systems.
[418] M. Guignard. Lagrangean relaxation , 2003 .
[419] Santanu S. Dey,et al. New Formulation and Strong MISOCP Relaxations for AC Optimal Transmission Switching Problem , 2015, IEEE Transactions on Power Systems.
[420] Xu Andy Sun,et al. Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem , 2013, IEEE Transactions on Power Systems.
[421] Mohammad Mardaneh,et al. Exploring the reliability effects on the short term AC security-constrained unit commitment: A stochastic evaluation , 2016 .
[422] Laijun CHEN,et al. Review and prospect of compressed air energy storage system , 2016 .
[423] Sofia Zaourar,et al. Optimisation convexe non-différentiable et méthodes de décomposition en recherche opérationnelle , 2014 .
[424] M. O'Malley,et al. Market Designs for the Primary Frequency Response Ancillary Service—Part II: Case Studies , 2014, IEEE Transactions on Power Systems.
[425] Zechun Hu,et al. Chance-Constrained Two-Stage Unit Commitment Under Uncertain Load and Wind Power Output Using Bilinear Benders Decomposition , 2016, IEEE Transactions on Power Systems.
[426] W. Pepper,et al. Implementation of a Scheduling and Pricing Model for Natural Gas , 2012 .
[427] Peter B. Luh,et al. Lagrangian relaxation neural network for unit commitment , 1999, IEEE Power Engineering Society. 1999 Winter Meeting (Cat. No.99CH36233).
[428] Manfred Morari,et al. Policy-Based Reserves for Power Systems , 2012, IEEE Transactions on Power Systems.
[429] R. P. Harvey. The decomposition principle for linear programs , 1964 .
[430] D. O'Kelly,et al. Quasi-steady-state performance of a long shunt compensated transmission line , 1993 .
[431] Edward J. Anderson,et al. Optimal Offer Construction in Electricity Markets , 2002, Math. Oper. Res..
[432] Sangmin Lee,et al. A Computational Framework for Uncertainty Quantification and Stochastic Optimization in Unit Commitment With Wind Power Generation , 2011, IEEE Transactions on Power Systems.
[433] Claude Lemaréchal,et al. A primal-proximal heuristic applied to the French Unit-commitment problem , 2005, Math. Program..
[434] T.A.A. Victoire,et al. Unit commitment by a tabu-search-based hybrid-optimisation technique , 2005 .
[435] Erlon Cristian Finardi,et al. Assessing solution quality and computational performance in the hydro unit commitment problem considering different mathematical programming approaches , 2016 .
[436] Anthony Papavasiliou,et al. Applying High Performance Computing to Transmission-Constrained Stochastic Unit Commitment for Renewable Energy Integration , 2015, IEEE Transactions on Power Systems.
[437] Khai D. Le,et al. OPERATIONAL ASPECTS OF GENERATION CYCLING A Report Prepared by the IEEE Current Operating Problems Subcommittee (COPS). Chairman: Bill Prince , 1990 .
[438] A.J. Conejo,et al. Modeling of start-up and shut-down power trajectories of thermal units , 2004, IEEE Transactions on Power Systems.
[439] Ruiwei Jiang,et al. Cutting planes for the multistage stochastic unit commitment problem , 2016, Math. Program..
[440] Zuyi Li,et al. Risk-Constrained Bidding Strategy With Stochastic Unit Commitment , 2007, IEEE Transactions on Power Systems.
[441] Carmen Cardozo Arteaga. Optimisation of power system security with high share of variable renewables : Consideration of the primary reserve deployment dynamics on a Frequency Constrained Unit Commitment model , 2016 .
[442] Robert J. Thomas,et al. Thermal unit commitment including optimal AC power flow constraints , 1998, Proceedings of the Thirty-First Hawaii International Conference on System Sciences.
[443] Daniel S. Kirschen,et al. Estimating the Spinning Reserve Requirements in Systems With Significant Wind Power Generation Penetration , 2009, IEEE Transactions on Power Systems.
[444] R. Jabr. Tight polyhedral approximation for mixed-integer linear programming unit commitment formulations , 2012 .
[445] Werner Römisch,et al. Distribution sensitivity for certain classes of chance-constrained models with application to power dispatch , 1991 .
[446] C.D. Vournas,et al. Unit Commitment by an Enhanced Simulated Annealing Algorithm , 2006, 2006 IEEE PES Power Systems Conference and Exposition.
[447] Pierluigi Siano,et al. An efficient linear model for optimal day ahead scheduling of CHP units in active distribution networks considering load commitment programs , 2017 .
[448] J. E. Kelley,et al. The Cutting-Plane Method for Solving Convex Programs , 1960 .
[449] Mohammad Shahidehpour,et al. The IEEE Reliability Test System-1996. A report prepared by the Reliability Test System Task Force of the Application of Probability Methods Subcommittee , 1999 .
[450] M. Gendreau,et al. Fast Near-Optimal Heuristic for the Short-Term Hydro-Generation Planning Problem , 2018, IEEE Transactions on Power Systems.
[451] Melvyn Sim,et al. The Price of Robustness , 2004, Oper. Res..
[452] Bruce F. Wollenberg,et al. A unit commitment expert system (power system control) , 1988 .
[453] Suvrajeet Sen,et al. A State Transition MIP Formulation for the Unit Commitment Problem , 2018, IEEE Transactions on Power Systems.
[454] Chen-Ching Liu,et al. State-of-the-Art of Electricity Price Forecasting in a Grid Environment , 2010 .
[455] G. Cohen. Auxiliary problem principle and decomposition of optimization problems , 1980 .
[456] Long Zhao,et al. Robust unit commitment problem with demand response and wind energy , 2012, 2012 IEEE Power and Energy Society General Meeting.
[457] Anthony Vannelli,et al. Modified orbital branching for structured symmetry with an application to unit commitment , 2015, Math. Program..
[458] Jesús María Latorre Canteli,et al. Tight and compact MILP formulation for the thermal unit commitment problem , 2013 .
[459] N.P. Padhy,et al. Unit commitment-a bibliographical survey , 2004, IEEE Transactions on Power Systems.
[460] Prateek Kumar Singhal,et al. Dynamic Programming Approach for Large Scale Unit Commitment Problem , 2011, 2011 International Conference on Communication Systems and Network Technologies.
[461] K. Chandrasekaran,et al. Multi-objective scheduling problem: Hybrid approach using fuzzy assisted cuckoo search algorithm , 2012, Swarm Evol. Comput..
[462] Arthur I. Cohen,et al. A Method for Solving the Fuel Constrained Unit Commitment Problem , 1987, IEEE Power Engineering Review.
[463] M. H. Wong,et al. A Hybrid Artificial Neural Network-Dynamic Programming Approach to Unit Commitment , 1998 .
[464] Peter B. Luh,et al. Scheduling of hydrothermal power systems , 1993 .
[465] M. Aganagic,et al. Security constrained economic dispatch using nonlinear Dantzig-Wolfe decomposition , 1997 .
[466] Peter Bazan,et al. Including a virtual battery storage into thermal unit commitment , 2017, Computer Science - Research and Development.
[467] Zuyi Li,et al. Market Operations in Electric Power Systems : Forecasting, Scheduling, and Risk Management , 2002 .
[468] P. Jirutitijaroen,et al. Stochastic unit commitment using multi-cut decomposition algorithm with partial aggregation , 2011, 2011 IEEE Power and Energy Society General Meeting.
[469] Erlon Cristian Finardi,et al. Solving the hydrothermal scheduling problem considering network constraints , 2012 .
[470] K. Kiwiel,et al. Power management in a hydro-thermal system under uncertainty by Lagrangian relaxation , 2002 .
[471] W. Römisch,et al. A Two-Stage Planning Model for Power Scheduling in a Hydro-Thermal System Under Uncertainty , 2002 .
[472] A. Ben-Tal,et al. Adjustable robust solutions of uncertain linear programs , 2004, Math. Program..
[473] Hédy Attouch,et al. Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality , 2008, Math. Oper. Res..
[474] René Henrion,et al. Convexity of Chance Constraints with Dependent Random Variables: The Use of Copulae , 2011 .
[475] Zhi-Quan Luo,et al. A Unified Convergence Analysis of Block Successive Minimization Methods for Nonsmooth Optimization , 2012, SIAM J. Optim..
[476] René Henrion,et al. On probabilistic constraints with multivariate truncated Gaussian and lognormal distributions , 2017 .
[477] J. Fuller,et al. Pricing Energy and Reserves Using Stochastic Optimization in an Alternative Electricity Market , 2007, IEEE Transactions on Power Systems.
[478] Rui Laia,et al. Stochastic Unit Commitment Problem with Security and Emissions Constraints , 2014, DoCEIS.
[479] Anthony Papavasiliou,et al. Economic analysis of the N-1 reliable unit commitment and transmission switching problem using duality concepts , 2010 .
[480] A. Renaud,et al. Daily generation scheduling optimization with transmission constraints: a new class of algorithms , 1992 .
[481] J. Price. Market-Based Price Differentials in Zonal and LMP Market Designs , 2007, IEEE Transactions on Power Systems.
[482] S. M. Shahidehpour,et al. Combination of Lagrangian-relaxation and linear-programming approaches for fuel-constrained unit-commitment problems , 1989 .
[483] J. Birge,et al. A multicut algorithm for two-stage stochastic linear programs , 1988 .
[484] Takeshi Nagata,et al. A Solution for Unit Commitment Using Lagrangian Relaxation Combined with Evolutionary Programming , 1996 .
[485] R. Adapa,et al. A review of selected optimal power flow literature to 1993. II. Newton, linear programming and interior point methods , 1999 .
[486] René Henrion,et al. Hölder and Lipschitz stability of solution sets in programs with probabilistic constraints , 2004, Math. Program..
[487] A. Borghetti,et al. Lagrangian Heuristics Based on Disaggregated Bundle Methods for Hydrothermal Unit Commitment , 2002, IEEE Power Engineering Review.
[488] R. Wets,et al. L-SHAPED LINEAR PROGRAMS WITH APPLICATIONS TO OPTIMAL CONTROL AND STOCHASTIC PROGRAMMING. , 1969 .
[489] Ross Baldick,et al. The generalized unit commitment problem , 1995 .
[490] Andrea Taverna. Benders Decomposition on Large-Scale Unit Commitment Problems for Medium-Term Power Systems Simulation , 2016, OR.
[491] Alexander Shapiro,et al. Lectures on Stochastic Programming: Modeling and Theory , 2009 .
[492] René Henrion,et al. On probabilistic constraints induced by rectangular sets and multivariate normal distributions , 2010, Math. Methods Oper. Res..
[493] C. Christober Asir Rajan,et al. Multi-Area Unit Commitment Using Particle Swarm Optimization Approach , 2013 .
[494] Wim van Ackooij,et al. A comparison of four approaches from stochastic programming for large-scale unit-commitment , 2017, EURO J. Comput. Optim..
[495] Darinka Dentcheva,et al. 4. Optimization Models with Probabilistic Constraints , 2009 .
[496] F. Bouffard,et al. Stochastic security for operations planning with significant wind power generation , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.
[497] Yong Fu,et al. Long-term security-constrained unit commitment: hybrid Dantzig-Wolfe decomposition and subgradient approach , 2005, IEEE Transactions on Power Systems.
[498] L. Ferreira,et al. On the convergence of the classic hydro-thermal coordination algorithm , 1994 .
[499] Eiichi Tanaka,et al. An Evolutionary Programming Solution to the Unit Commitment Problem , 1997 .
[500] F. Nogales,et al. Price-taker bidding strategy under price uncertainty , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).
[501] Pierre-Olivier Pineau,et al. An Oligopolistic Investment Model of the Finnish Electricity Market , 2003, Ann. Oper. Res..
[502] C. Harris. Electricity Markets: Pricing, Structures and Economics , 2006 .
[503] Kit Po Wong,et al. Combined genetic algorithm/simulated annealing/fuzzy set approach to short-term generation scheduling with take-or-pay fuel contract , 1996 .
[504] Javier García-González,et al. An MIP Formulation for Joint Market-Clearing of Energy and Reserves Based on Ramp Scheduling , 2014 .
[505] Laurent El Ghaoui,et al. Robust Solutions to Least-Squares Problems with Uncertain Data , 1997, SIAM J. Matrix Anal. Appl..
[506] P. Luh,et al. Optimal integrated generation bidding and scheduling with risk management under a deregulated daily power market , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).
[507] J F Restrepo,et al. Assessing the Yearly Impact of Wind Power Through a New Hybrid Deterministic/Stochastic Unit Commitment , 2011, IEEE Transactions on Power Systems.
[508] Claudia D’Ambrosio,et al. Real-world hydro-power unit-commitment: Dealing with numerical errors and feasibility issues , 2017, Energy.
[509] Francois Bouffard,et al. Identification of Umbrella Constraints in DC-Based Security-Constrained Optimal Power Flow , 2013, IEEE Transactions on Power Systems.
[510] Yongpei Guan,et al. Strengthened MILP Formulation for Combined-Cycle Units , 2016 .
[511] BolteJérôme,et al. Proximal Alternating Minimization and Projection Methods for Nonconvex Problems , 2010 .
[512] Antonio Frangioni,et al. Bundle methods for sum-functions with “easy” components: applications to multicommodity network design , 2013, Mathematical Programming.
[513] Javad Lavaei,et al. A Bound Strengthening Method for Optimal Transmission Switching in Power Systems , 2017, IEEE Transactions on Power Systems.
[514] Matthias Huber,et al. The summed start-up costs in a unit commitment problem , 2015, EURO J. Comput. Optim..
[515] Miadreza Shafie-khah,et al. Unified solution of a non-convex SCUC problem using combination of modified Branch-and-Bound method with Quadratic Programming , 2011 .
[516] Yongpei Guan,et al. Expected Value and Chance Constrained Stochastic Unit Commitment Ensuring Wind Power Utilization , 2014, IEEE Transactions on Power Systems.
[517] H. Zareipour,et al. Short-Term Electricity Market Prices: A Review of Characteristics and Forecasting Methods , 2012 .
[518] K. I. M. McKinnon,et al. A stabilised scenario decomposition algorithm applied to stochastic unit commitment problems , 2017, Eur. J. Oper. Res..
[519] David L. Woodruff,et al. Progressive hedging and tabu search applied to mixed integer (0,1) multistage stochastic programming , 1996, J. Heuristics.
[520] Silvano Martello,et al. Piecewise linear approximation of functions of two variables in MILP models , 2010, Oper. Res. Lett..
[521] Claude Lemaréchal,et al. A geometric study of duality gaps, with applications , 2001, Math. Program..
[522] M. Carrion,et al. A computationally efficient mixed-integer linear formulation for the thermal unit commitment problem , 2006, IEEE Transactions on Power Systems.
[523] Qianfan Wang,et al. A chance-constrained two-stage stochastic program for unit commitment with uncertain wind power output , 2012, 2012 IEEE Power and Energy Society General Meeting.
[524] S. Oren,et al. A stochastic unit commitment model for integrating renewable supply and demand response , 2012, 2012 IEEE Power and Energy Society General Meeting.
[525] Stuart E. Dreyfus,et al. Applied Dynamic Programming , 1965 .
[526] Manuel A. Matos,et al. A multiple criteria utility-based approach for unit commitment with wind power and pumped storage hydro , 2016 .
[527] Claude Lemaréchal,et al. Lagrangian Relaxation , 2000, Computational Combinatorial Optimization.
[528] Ralf Gollmer,et al. Stochastic Power Generation Unit Commitment in Electricity Markets: A Novel Formulation and a Comparison of Solution Methods , 2009, Oper. Res..
[529] C. Gentile,et al. Tighter Approximated MILP Formulations for Unit Commitment Problems , 2009, IEEE Transactions on Power Systems.
[530] Benjamin Van Roy,et al. The Linear Programming Approach to Approximate Dynamic Programming , 2003, Oper. Res..
[531] R.P. O'Neill,et al. Optimal Transmission Switching With Contingency Analysis , 2010, IEEE Transactions on Power Systems.
[532] A. Conejo,et al. Optimal response of a thermal unit to an electricity spot market , 2000 .
[533] Pierre Fouilhoux,et al. The min-up/min-down unit commitment polytope , 2018, J. Comb. Optim..
[534] J. Contreras,et al. Optimal response of an oligopolistic generating company to a competitive pool-based electric power market , 2002 .
[535] F. J. Heredia,et al. Optimum short-term hydrothermal scheduling with spinning reserve through network flows , 1995 .
[536] Javier Contreras,et al. Price maker self-scheduling in a pool-based electricity market: a mixed-integer LP approach , 2002 .
[537] Werner Römisch,et al. Optimal Power Generation under Uncertainty via Stochastic Programming , 1998 .
[538] Jianhui Wang,et al. Stochastic Optimization for Unit Commitment—A Review , 2015, IEEE Transactions on Power Systems.
[539] Vincent Guigues,et al. SDDP for some interstage dependent risk-averse problems and application to hydro-thermal planning , 2014, Comput. Optim. Appl..
[540] Andres Ramos,et al. Tight and Compact MILP Formulation of Start-Up and Shut-Down Ramping in Unit Commitment , 2013, IEEE Transactions on Power Systems.
[541] A. Conejo,et al. Offering Strategy Via Robust Optimization , 2011, IEEE Transactions on Power Systems.
[542] Rüdiger Schultz,et al. A Stochastic Integer Programming Model for Incorporating Day-Ahead Trading of Electricity into Hydro-Thermal Unit Commitment , 2005 .
[543] Werner Römisch,et al. A simple recourse model for power dispatch under uncertain demand , 1995, Ann. Oper. Res..
[544] Kory W. Hedman,et al. Capacity response sets for security-constrained unit commitment with wind uncertainty , 2016 .
[545] D. Hömberg,et al. Properties of Chance Constraints in Infinite Dimensions with an Application to PDE Constrained Optimization , 2018 .
[546] M. O'Malley,et al. Unit Commitment for Systems With Significant Wind Penetration , 2009, IEEE Transactions on Power Systems.
[547] Yongjia Song,et al. An Adaptive Partition-based Level Decomposition for Solving Two-stage Stochastic Programs with Fixed Recourse , 2016 .
[548] Roy Billinton,et al. A reliability framework for generating unit commitment , 2000 .
[549] J. Watson,et al. Multi-Stage Robust Unit Commitment Considering Wind and Demand Response Uncertainties , 2013, IEEE Transactions on Power Systems.
[550] Daniel Kuhn,et al. A distributionally robust perspective on uncertainty quantification and chance constrained programming , 2015, Mathematical Programming.
[551] Claude Lemaréchal,et al. An approach to variable metric bundle methods , 1993, System Modelling and Optimization.
[552] Pio A. Aguirre,et al. Security-Constrained Unit Commitment Problem including thermal and pumped storage units: An MILP formulation by the application of linear approximations techniques , 2018 .
[553] D. Bertsekas,et al. Optimal short-term scheduling of large-scale power systems , 1981, CDC 1981.
[554] René Henrion,et al. Discrepancy distances and scenario reduction in two-stage stochastic mixed-integer programming , 2008 .
[555] Walter L. Snyder,et al. Dynamic Programming Approach to Unit Commitment , 1987, IEEE Transactions on Power Systems.
[556] Antonio Simoes Costa,et al. Hydroelectric unit commitment for power plants composed of distinct groups of generating units , 2016 .
[557] Yurii Nesterov,et al. New variants of bundle methods , 1995, Math. Program..
[558] Vincent Guigues,et al. A Value-At-Risk approach for robust management of electricity power generation , 2004 .
[559] G. Calafiore,et al. On Distributionally Robust Chance-Constrained Linear Programs , 2006 .
[560] Whei-Min Lin,et al. An Improved Tabu Search for Economic Dispatch with Multiple Minima , 2002, IEEE Power Engineering Review.
[561] C. Lemaréchal. An extension of davidon methods to non differentiable problems , 1975 .
[562] M. Shahidehpour,et al. Stochastic Security-Constrained Unit Commitment , 2007, IEEE Transactions on Power Systems.
[563] Werner Römisch,et al. Recent Progress in Two-stage Mixed-integer Stochastic Programming with Applications to Power Production Planning , 2010 .
[564] K. Nara,et al. Optimal Long-Term Unit Commitment in Large Scale Systems Including Fuel Constrained Thermal and Pumped-Storage Hydro , 1989, IEEE Power Engineering Review.
[565] R. Jabr. Radial distribution load flow using conic programming , 2006, IEEE Transactions on Power Systems.
[566] Andy Philpott,et al. Column Generation for Transmission Switching of Electricity Networks with Unit Commitment , 2011 .
[567] T. Numnonda,et al. Unit commitment by parallel simulated annealing , 1995 .
[568] Matteo Fischetti,et al. Light Robustness , 2009, Robust and Online Large-Scale Optimization.
[569] H. Mori,et al. Embedding the priority list into tabu search for unit commitment , 2001, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).
[570] R. Jabr. Optimal Power Flow Using an Extended Conic Quadratic Formulation , 2008, IEEE Transactions on Power Systems.
[571] Kory W. Hedman,et al. Robust Corrective Topology Control for System Reliability , 2013, IEEE Transactions on Power Systems.
[572] Stein-Erik Fleten,et al. Short-term hydropower production planning by stochastic programming , 2008, Comput. Oper. Res..
[573] Bin Wang,et al. A robust aggregate model and the two-stage solution method to incorporate energy intensive enterprises in power system unit commitment , 2017 .
[574] James R. Luedtke,et al. An Adaptive Partition-Based Approach for Solving Two-Stage Stochastic Programs with Fixed Recourse , 2015, SIAM J. Optim..
[575] Peter B. Luh,et al. Head Dependence of Pump-Storage-Unit Model Applied to Generation Scheduling , 2017, IEEE Transactions on Power Systems.
[576] Allen J. Wood,et al. Power Generation, Operation, and Control , 1984 .
[577] John M. Wilson,et al. Introduction to Stochastic Programming , 1998, J. Oper. Res. Soc..
[578] Hassan Ghasemi,et al. A stochastic security constrained unit commitment model for reconfigurable networks with high wind power penetration , 2015 .
[579] Laurent El Ghaoui,et al. Robust Optimization , 2021, ICORES.
[580] Werner Römisch,et al. Primal and Dual Methods for Unit Commitment in a Hydro-Thermal Power System , 1998 .
[581] Peng Sun,et al. A Robust Optimization Perspective on Stochastic Programming , 2007, Oper. Res..
[582] Adrien Nguyen Huu. Valorisation financière sur les marchés d'électricité , 2012 .
[583] András Prékopa,et al. Serially Linked Reservoir System Design Using Stochastic Programing , 1978 .
[584] Jérôme Malick,et al. Eventual convexity of probability constraints with elliptical distributions , 2019, Math. Program..
[585] Werner Römisch,et al. Scenario Tree Generation for Multi-stage Stochastic Programs , 2011 .
[586] C. S. Buchanan,et al. Nested Benders decomposition and dynamic programming for reservoir optimisation , 1999, J. Oper. Res. Soc..
[587] D. L. Woodruff,et al. Statistical metrics for assessing the quality of wind power scenarios for stochastic unit commitment , 2016 .
[588] F. N. Lee,et al. Multi-area unit commitment , 1992 .
[589] P. Carpentier,et al. Stochastic optimization of unit commitment: a new decomposition framework , 1996 .
[590] A. H. Mantawy,et al. A simulated annealing algorithm for unit commitment , 1998 .
[591] F.N. Lee,et al. The Application of Commitment Utilization Factor (CUF) to Thermal Unit Commitment , 1991, IEEE Power Engineering Review.
[592] Werner Römisch,et al. Stability of Solutions for Stochastic Programs with Complete Recourse , 1993, Math. Oper. Res..
[593] W. van Ackooij,et al. Convexity and optimization with copulæ structured probabilistic constraints , 2016 .
[594] Charles Audet,et al. Stochastic short-term hydropower planning with inflow scenario trees , 2017, Eur. J. Oper. Res..
[595] A. Nazarova,et al. A Critical Empirical Study of Three Electricity Spot Price Models , 2011 .
[596] Thomas A. Henzinger,et al. Probabilistic programming , 2014, FOSE.
[597] Laurent El Ghaoui,et al. Robust Solutions to Uncertain Semidefinite Programs , 1998, SIAM J. Optim..
[598] Anthony Papavasiliou,et al. An application of high performance computing to transmission switching , 2013, 2013 IREP Symposium Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid.
[599] V. Quintana,et al. An interior-point/cutting-plane method to solve unit commitment problems , 1999, Proceedings of the 21st International Conference on Power Industry Computer Applications. Connecting Utilities. PICA 99. To the Millennium and Beyond (Cat. No.99CH36351).