Approximate solution of mp-MILP problems using piecewise affine relaxation of bilinear terms
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Efstratios N. Pistikopoulos | Martina Wittmann-Hohlbein | E. Pistikopoulos | Martina Wittmann-Hohlbein
[1] Efstratios N. Pistikopoulos,et al. Explicit/multi-parametric model predictive control (MPC) of linear discrete-time systems by dynamic and multi-parametric programming , 2011, Autom..
[2] Marianthi G. Ierapetritou,et al. Robust optimization for process scheduling under uncertainty , 2008 .
[3] T. Gál,et al. Multiparametric Linear Programming , 1972 .
[4] Efstratios N. Pistikopoulos,et al. On the global solution of multi-parametric mixed integer linear programming problems , 2012, Journal of Global Optimization.
[5] Joaquin Acevedo and,et al. An Efficient Algorithm for Convex Multiparametric Nonlinear Programming Problems , 2003 .
[6] George L. Nemhauser,et al. Modeling disjunctive constraints with a logarithmic number of binary variables and constraints , 2011, Math. Program..
[7] Berç Rustem,et al. A multi-parametric programming approach for constrained dynamic programming problems , 2008, Optim. Lett..
[8] Larry Jenkins. Parametric Mixed Integer Programming: An Application to Solid Waste Management , 1982 .
[9] Marianthi G. Ierapetritou,et al. Process scheduling under uncertainty using multiparametric programming , 2007 .
[10] Peter M. Verderame,et al. Planning and Scheduling under Uncertainty: A Review Across Multiple Sectors , 2010 .
[11] B. Bank,et al. Non-Linear Parametric Optimization , 1983 .
[12] Christodoulos A. Floudas,et al. APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes , 2011, Comput. Chem. Eng..
[13] M. Morari,et al. On-line optimization via off-line parametric optimization tools , 2000 .
[14] Marianthi G. Ierapetritou,et al. Process scheduling under uncertainty: Review and challenges , 2008, Comput. Chem. Eng..
[15] C. Filippi. An Algorithm for Approximate Multiparametric Linear Programming , 2004 .
[16] Efstratios N. Pistikopoulos,et al. MPC on a chip - Recent advances on the application of multi-parametric model-based control , 2008, Comput. Chem. Eng..
[17] Christodoulos A. Floudas,et al. Global optimization of a combinatorially complex generalized pooling problem , 2006 .
[18] Alberto Bemporad,et al. An Algorithm for Approximate Multiparametric Convex Programming , 2006, Comput. Optim. Appl..
[19] Efstratios N. Pistikopoulos,et al. Proactive Scheduling under Uncertainty : A Parametric Optimization Approach , 2007 .
[20] Efstratios N. Pistikopoulos,et al. Multi-Parametric Model-Based Control , 2011 .
[21] Arkadi Nemirovski,et al. Robust solutions of Linear Programming problems contaminated with uncertain data , 2000, Math. Program..
[22] Marianthi G. Ierapetritou,et al. Reactive scheduling using parametric programming , 2008 .
[23] Nikolaos V. Sahinidis,et al. A polyhedral branch-and-cut approach to global optimization , 2005, Math. Program..
[24] Tomas Gal,et al. Postoptimal Analyses, Parametric Programming, and Related Topics: Degeneracy, Multicriteria Decision Making, Redundancy , 1994 .
[25] Christodoulos A. Floudas,et al. Global optimization of mixed-integer quadratically-constrained quadratic programs (MIQCQP) through piecewise-linear and edge-concave relaxations , 2012, Mathematical Programming.
[26] Tor Arne Johansen,et al. Approximate explicit receding horizon control of constrained nonlinear systems , 2004, Autom..
[27] Efstratios N. Pistikopoulos,et al. Global Optimization Issues in Multiparametric Continuous and Mixed-Integer Optimization Problems , 2004, J. Glob. Optim..
[28] E. Pistikopoulos,et al. Algorithms for the Solution of Multiparametric Mixed-Integer Nonlinear Optimization Problems , 1999 .
[29] V. Sakizlis,et al. The explicit control law for hybrid systems via parametric programming , 2001, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).
[30] Chrysanthos E. Gounaris,et al. Computational Comparison of Piecewise−Linear Relaxations for Pooling Problems , 2009 .
[31] Berç Rustem,et al. Global optimization of multi-parametric MILP problems , 2009, J. Glob. Optim..
[32] Vivek Dua,et al. Approximate multi-parametric programming based B&B algorithm for MINLPs , 2012, Comput. Chem. Eng..
[33] E.N. Pistikopoulos,et al. A framework for multi-parametric programming and control — an overview , 2008, 2008 IEEE International Engineering Management Conference.
[34] Efstratios N. Pistikopoulos,et al. Uncertainty in process design and operations , 1995 .
[35] H. P. Benson,et al. Algorithms for parametric nonconvex programming , 1982 .
[36] Efstratios N. Pistikopoulos,et al. Design of robust model-based controllers via parametric programming , 2004, Autom..
[37] A. Bemporad,et al. Suboptimal explicit MPC via approximate multiparametric quadratic programming , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).
[38] Christodoulos A. Floudas,et al. αBB: A global optimization method for general constrained nonconvex problems , 1995, J. Glob. Optim..
[39] Zukui Li,et al. A New Methodology for the General Multiparametric Mixed-Integer Linear Programming (MILP) Problems , 2007 .
[40] Alberto Bemporad,et al. An algorithm for multi-parametric quadratic programming and explicit MPC solutions , 2003, Autom..
[41] James E. Falk,et al. Jointly Constrained Biconvex Programming , 1983, Math. Oper. Res..
[42] W. R. Buckland,et al. Proceedings of the Fifth International Conference on Operational Research. OR 69. , 1971 .
[43] Christodoulos A. Floudas,et al. A new robust optimization approach for scheduling under uncertainty: : I. Bounded uncertainty , 2004, Comput. Chem. Eng..
[44] Alberto Bemporad,et al. Control of systems integrating logic, dynamics, and constraints , 1999, Autom..
[45] E. Pistikopoulos,et al. A multiparametric programming approach for linear process engineering problems under uncertainty , 1997 .
[46] Efstratios N. Pistikopoulos,et al. A parametric MINLP algorithm for process synthesis problems under uncertainty , 1996 .
[47] Luis F. Domínguez,et al. Recent Advances in Explicit Multiparametric Nonlinear Model Predictive Control , 2011 .
[48] Alberto Bemporad,et al. The explicit linear quadratic regulator for constrained systems , 2003, Autom..
[49] K. Papalexandri,et al. A Parametric Mixed-Integer Optimization Algorithm for Multiobjective Engineering Problems Involving Discrete Decisions , 1998 .
[50] I. Karimi,et al. Piecewise MILP under‐ and overestimators for global optimization of bilinear programs , 2008 .
[51] Ignacio E. Grossmann,et al. Global optimization for the synthesis of integrated water systems in chemical processes , 2006, Comput. Chem. Eng..
[52] Arun Gupta,et al. A novel approach to multiparametric quadratic programming , 2011, Autom..
[53] T. Johansen,et al. Further results on multiparametric quadratic programming , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).
[54] Efstratios N. Pistikopoulos,et al. Reactive Scheduling of micro Combined Heat and Power Systems via Multiparametric Programming , 2013 .
[55] T. Gal. Rim Multiparametric Linear Programming , 1975 .
[56] Paul I. Barton,et al. Parametric mixed-integer 0-1 linear programming: The general case for a single parameter , 2009, Eur. J. Oper. Res..
[57] Ignacio E. Grossmann,et al. Logic-based outer approximation for globally optimal synthesis of process networks , 2005, Comput. Chem. Eng..
[58] I. Karimi,et al. Piecewise linear relaxation of bilinear programs using bivariate partitioning , 2009 .
[59] Ignacio E. Grossmann,et al. An improved piecewise outer-approximation algorithm for the global optimization of MINLP models involving concave and bilinear terms , 2008, Comput. Chem. Eng..
[60] Berç Rustem,et al. Parametric global optimisation for bilevel programming , 2007, J. Glob. Optim..
[61] G. McRae,et al. Parametric optimization of MILP programs and a framework for the parametric optimization of MINLPs , 1998 .
[62] Allen L. Soyster,et al. Technical Note - Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming , 1973, Oper. Res..
[63] Mato Baotic,et al. Constrained Optimal Control of Hybrid Systems With a Linear Performance Index , 2006, IEEE Transactions on Automatic Control.
[64] Jaime Cerdá,et al. State-of-the-art review of optimization methods for short-term scheduling of batch processes , 2006, Comput. Chem. Eng..
[65] M. Morari,et al. Geometric Algorithm for Multiparametric Linear Programming , 2003 .
[66] Efstratios N. Pistikopoulos,et al. A Novel mp-NLP Algorithm for Explicit/Multi-parametric NMPC * , 2010 .
[67] Garth P. McCormick,et al. Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems , 1976, Math. Program..
[68] E. Pistikopoulos,et al. A Two-Stage Method for the Approximate Solution of General Multiparametric Mixed-Integer Linear Programming Problems , 2012 .
[69] E. Pistikopoulos,et al. A multiparametric programming approach for mixed-integer quadratic engineering problems , 2002 .
[70] E. Pistikopoulos,et al. Proactive scheduling of batch processes by a combined robust optimization and multiparametric programming approach , 2013 .
[71] Luis F. Domínguez,et al. Global Optimization of Integer and Mixed-Integer Bi-Level Programming Problems via Multi-Parametric Programming , 2009 .
[72] Efstratios N. Pistikopoulos,et al. A novel approach to scheduling of zero-wait batch processes under processing time variations , 2007, Comput. Chem. Eng..
[73] D. H. Martin. On the continuity of the maximum in parametric linear programming , 1975 .
[74] Efstratios N. Pistikopoulos,et al. An Algorithm for the Solution of Multiparametric Mixed Integer Linear Programming Problems , 2000, Ann. Oper. Res..
[75] Anthony V. Fiacco,et al. Global multi-parametric optimal value bounds and solution estimates for separable parametric programs , 1990 .