A Review of Deterministic Optimization Methods in Engineering and Management
暂无分享,去创建一个
Jung-Fa Tsai | Chian-Son Yu | Ming-Hua Lin | Jung-Fa Tsai | Ming-Hua Lin | C. Yu | J. Tsai | Ming-Hua Lin
[1] Christodoulos A. Floudas,et al. Convex underestimation for posynomial functions of positive variables , 2008, Optim. Lett..
[2] Nikolaos V. Sahinidis,et al. Global Optimization of 0-1 Hyperbolic Programs , 2002, J. Glob. Optim..
[3] R. Duffin,et al. Geometric programming with signomials , 1973 .
[4] R. Duffin,et al. Duality Theory for Geometric Programming , 1966 .
[5] Tapio Westerlund,et al. Convex underestimation strategies for signomial functions , 2009, Optim. Methods Softw..
[6] Christodoulos A. Floudas,et al. A retrofit approach for heat exchanger networks , 1989 .
[7] Ignacio E. Grossmann,et al. Part II. Future perspective on optimization , 2004, Comput. Chem. Eng..
[8] A. Neumaier,et al. A global optimization method, αBB, for general twice-differentiable constrained NLPs — I. Theoretical advances , 1998 .
[9] T. Westerlund,et al. Global optimization of heat exchanger network synthesis problems with and without the isothermal mixing assumption , 2002 .
[10] Clarence Zener,et al. Geometric Programming : Theory and Application , 1967 .
[11] Manish Sinha,et al. Environmentally benign solvent design by global optimization , 1999 .
[12] Han-Lin Li,et al. Approximately global optimization for assortment problems using piecewise linearization techniques , 2002, Eur. J. Oper. Res..
[13] Michael Kupferschmid,et al. An application of nonlinear optimization in molecular biology , 2002, Eur. J. Oper. Res..
[14] Jung-Fa Tsai,et al. Finding all solutions of systems of nonlinear equations with free variables , 2007 .
[15] Jung-Fa Tsai,et al. Finding multiple optimal solutions of signomial discrete programming problems with free variables , 2011 .
[16] W. Sharpe. OF FINANCIAL AND QUANTITATIVE ANALYSIS December 1971 A LINEAR PROGRAMMING APPROXIMATION FOR THE GENERAL PORTFOLIO ANALYSIS PROBLEM , 2009 .
[17] E. Balas,et al. Canonical Cuts on the Unit Hypercube , 1972 .
[18] P. Pardalos,et al. Handbook of global optimization , 1995 .
[19] R. Duffin. Linearizing Geometric Programs , 1970 .
[20] Maria E. Orlowska,et al. An Integer Linear Programming Approach to Data Allocation with the Minimum Total Communication Cost in Distributed Database Systems , 1995, Inf. Sci..
[21] Shashi Kant Mishra,et al. Invexity and Optimization , 2008 .
[22] P. I. Barton,et al. Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs , 2004, Math. Program..
[23] C. Adjiman,et al. A global optimization method, αBB, for general twice-differentiable constrained NLPs—II. Implementation and computational results , 1998 .
[24] Christodoulos A. Floudas,et al. Trilinear Monomials with Positive or Negative Domains: Facets of the Convex and Concave Envelopes , 2004 .
[25] Ignacio E. Grossmann,et al. An outer-approximation algorithm for a class of mixed-integer nonlinear programs , 1987, Math. Program..
[26] Christodoulos A. Floudas,et al. Deterministic global optimization - theory, methods and applications , 2010, Nonconvex optimization and its applications.
[27] 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..
[28] Manish Sinha,et al. On the Solution of Mixed-integer Nonlinear Programming Models for Computer Aided Molecular Design , 2002, Comput. Chem..
[29] Jung-Fa Tsai,et al. Range reduction techniques for improving computational efficiency in global optimization of signomial geometric programming problems , 2012, Eur. J. Oper. Res..
[30] Christodoulos A. Floudas,et al. Convex envelopes for edge-concave functions , 2005, Math. Program..
[31] Jung-Fa Tsai,et al. An Efficient Global Approach for Posynomial Geometric Programming Problems , 2011, INFORMS J. Comput..
[32] Han-Lin Li,et al. Global Optimization for Generalized Geometric Programs with Mixed Free-Sign Variables , 2009, Oper. Res..
[33] Christodoulos A. Floudas,et al. Computational Experience with a New Class of Convex Underestimators: Box-constrained NLP Problems , 2004, J. Glob. Optim..
[34] Tapio Westerlund,et al. ON THE RELATIONSHIP BETWEEN POWER AND EXPONENTIAL TRANSFORMATIONS FOR POSITIVE SIGNOMIAL FUNCTIONS , 2009 .
[35] R. Ocampo-Pérez,et al. Adsorption of Fluoride from Water Solution on Bone Char , 2007 .
[36] Han-Lin Li,et al. Convex relaxation for solving posynomial programs , 2010, J. Glob. Optim..
[37] Nils Tönshoff,et al. Implementation and Computational Results , 1997 .
[38] Iiro Harjunkoski,et al. Numerical and environmental considerations on a complex industrial mixed integer non-linear programming (MINLP) problem , 1999 .
[39] Nikolaos V. Sahinidis,et al. Global optimization of mixed-integer nonlinear programs: A theoretical and computational study , 2004, Math. Program..
[40] Christodoulos A. Floudas,et al. Global optimization of a combinatorially complex generalized pooling problem , 2006 .
[41] Tapio Westerlund. Some Transformation Techniques in Global Optimization , 2006 .
[42] J. Ecker. Geometric Programming: Methods, Computations and Applications , 1980 .
[43] Joakim Westerlund,et al. Some transformation techniques with applications in global optimization , 2009, J. Glob. Optim..
[44] Christodoulos A. Floudas,et al. Trilinear Monomials with Mixed Sign Domains: Facets of the Convex and Concave Envelopes , 2004, J. Glob. Optim..
[45] Christodoulos A. Floudas,et al. Global optimization of MINLP problems in Process Synthesis and Design , 1997 .
[46] Tapio Westerlund,et al. A cutting plane method for minimizing pseudo-convex functions in the mixed integer case , 2000 .
[47] Nikolaos V. Sahinidis,et al. Product Disaggregation in Global Optimization and Relaxations of Rational Programs , 2002 .
[48] C. Floudas. Global optimization in design and control of chemical process systems , 1998 .
[49] C. Floudas,et al. Global optimization in the 21st century: Advances and challenges , 2005, Computers and Chemical Engineering.
[50] P. Pardalos,et al. Optimization in computational chemistry and molecular biology : local and global approaches , 2000 .
[51] Kin Keung Lai,et al. Generalized Convexity and Vector Optimization , 2008 .
[52] T. Westerlund,et al. An extended cutting plane method for solving convex MINLP problems , 1995 .
[53] George F. Corliss,et al. Rigorous Global Search: Industrial Applications , 1998, SCAN.
[54] Christodoulos A. Floudas,et al. Mathematical modeling and global optimization of large-scale extended pooling problems with the (EPA) complex emissions constraints , 2010, Comput. Chem. Eng..
[55] A. Atkinson,et al. Optimum design: 2000 , 2001 .
[56] Leo Liberti,et al. Convex Envelopes of Monomials of Odd Degree , 2003, J. Glob. Optim..
[57] Jung-Fa Tsai,et al. An optimization approach for solving signomial discrete programming problems with free variables , 2006, Comput. Chem. Eng..
[58] John E. Mitchell,et al. An improved branch and bound algorithm for mixed integer nonlinear programs , 1994, Comput. Oper. Res..
[59] Siegfried Schaible,et al. Handbook of Generalized Convexity and Generalized Monotonicity , 2005 .
[60] I. Grossmann. Global Optimization in Engineering Design , 2010 .
[61] Panos M. Pardalos,et al. Multilevel Optimization: Algorithms and Applications , 2012 .
[62] Sanjay Mehrotra,et al. A branch-and-cut method for 0-1 mixed convex programming , 1999, Math. Program..
[63] A. M. Geoffrion. Generalized Benders decomposition , 1972 .
[64] Loris Faina. A global optimization algorithm for the three-dimensional packing problem , 2000, Eur. J. Oper. Res..
[65] N. Sahinidis,et al. Global optimization of nonconvex NLPs and MINLPs with applications in process design , 1995 .
[66] Chin-Sheng Chen,et al. An analytical model for the container loading problem , 1995 .
[67] Sven Leyffer,et al. Solving mixed integer nonlinear programs by outer approximation , 1994, Math. Program..
[68] C. Floudas. Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications , 1995 .
[69] J. L. Maryak,et al. Bayesian Heuristic Approach to Discrete and Global Optimization , 1999, Technometrics.
[70] R. G. Fenton,et al. A MIXED INTEGER-DISCRETE-CONTINUOUS PROGRAMMING METHOD AND ITS APPLICATION TO ENGINEERING DESIGN OPTIMIZATION , 1991 .
[71] E. Sandgren,et al. Nonlinear Integer and Discrete Programming in Mechanical Design Optimization , 1990 .
[72] Georgios E. Stavroulakis,et al. Nonconvex Optimization in Mechanics , 2013 .
[73] I. Grossmann,et al. New algorithms for nonlinear generalized disjunctive programming , 2000 .
[74] Christodoulos A. Floudas,et al. Trigonometric Convex Underestimator for the Base Functions in Fourier Space , 2005 .
[75] C. Adjiman,et al. Global optimization of mixed‐integer nonlinear problems , 2000 .
[76] Tapio Westerlund,et al. Optimization of Power Transformations in Global Optimization , 2007 .
[77] Marianthi G. Ierapetritou,et al. A mixed-integer optimization framework for the synthesis and analysis of regulatory networks , 2009, J. Glob. Optim..
[78] Nikolaos V. Sahinidis,et al. Analysis of Bounds for Multilinear Functions , 2001, J. Glob. Optim..
[79] B. Stone. A Linear Programming Formulation of the General Portfolio Selection Problem , 1973, Journal of Financial and Quantitative Analysis.
[80] Ming-Hua Lin. An optimal workload-based data allocation approach for multidisk databases , 2009, Data Knowl. Eng..
[81] Stephen P. Boyd,et al. A tutorial on geometric programming , 2007, Optimization and Engineering.
[82] Jasbir S. Arora,et al. Introduction to Optimum Design , 1988 .
[83] J. Pintér. Global optimization : scientific and engineering case studies , 2006 .
[84] Han-Lin Li,et al. Technical note - On optimization approach for multidisk vertical allocation problems , 2005, Eur. J. Oper. Res..
[85] Nikolaos V. Sahinidis,et al. Semidefinite Relaxations of Fractional Programs via Novel Convexification Techniques , 2001, J. Glob. Optim..
[86] Tapio Westerlund,et al. Comparisons of solving a chromatographic separation problem using MINLP methods , 2004, Comput. Chem. Eng..
[87] Josef Kallrath,et al. Solving Planning and Design Problems in the Process Industry Using Mixed Integer and Global Optimization , 2005, Ann. Oper. Res..
[88] Mahmoud M. El-Halwagi,et al. Optimum mass integration strategies for condensation and allocation of multicomponent VOCs , 2000 .
[89] Kaj-Mikael Björk,et al. Some convexifications in global optimization of problems containing signomial terms , 2003, Comput. Chem. Eng..
[90] Pio A. Aguirre,et al. Global Optimal Structures of Heat Exchanger Networks by Piecewise Relaxation , 2007 .
[91] Eligius M. T. Hendrix,et al. Global optimization at work , 1998 .
[92] Sven Leyffer,et al. Integrating SQP and Branch-and-Bound for Mixed Integer Nonlinear Programming , 2001, Comput. Optim. Appl..
[93] I. Grossmann,et al. An LP/NLP based branch and bound algorithm for convex MINLP optimization problems , 1992 .
[94] Jung-Fa Tsai,et al. Treating free variables in generalized geometric programming problems , 2009, Comput. Chem. Eng..
[95] José Luis González Velarde,et al. Computing Tools for Modeling, Optimization and Simulation , 2000 .
[96] Bala Shetty,et al. A constrained nonlinear 0–1 program for data allocation , 1997 .
[97] I. Grossmann. Review of Nonlinear Mixed-Integer and Disjunctive Programming Techniques , 2002 .
[98] Hanif D. Sherali,et al. Exploiting Special Structures in Constructing a Hierarchy of Relaxations for 0-1 Mixed Integer Problems , 1998, Oper. Res..
[99] Ignacio E. Grossmann,et al. Global optimization for the synthesis of integrated water systems in chemical processes , 2006, Comput. Chem. Eng..
[100] C. Floudas,et al. Synthesis of general distillation sequences : nonsharp separations , 1990 .
[101] Ignacio E. Grossmann,et al. Global optimization for scheduling refinery crude oil operations , 2008, Comput. Chem. Eng..
[102] Arie Segev,et al. Data Allocation for Multi-Disk Databases , 1993, IEEE Trans. Knowl. Data Eng..
[103] Han-Lin Li,et al. Treating Free Variables in Generalized Geometric Global Optimization Programs , 2005, J. Glob. Optim..
[104] Ignacio E. Grossmann,et al. Retrospective on optimization , 2004, Comput. Chem. Eng..
[105] Christodoulos A. Floudas,et al. A review of recent advances in global optimization , 2009, J. Glob. Optim..
[106] Christodoulos A. Floudas,et al. Optimization of complex reactor networks—I. Isothermal operation , 1990 .
[107] Christodoulos A. Floudas,et al. A New Class of Improved Convex Underestimators for Twice Continuously Differentiable Constrained NLPs , 2004, J. Glob. Optim..
[108] Byung Ha Lim,et al. A Minimax Portfolio Selection Rule with Linear Programming Solution , 1998 .
[109] Christodoulos A. Floudas,et al. Finding all solutions of nonlinearly constrained systems of equations , 1995, J. Glob. Optim..
[110] Joakim Westerlund,et al. On Convex Relaxations in Nonconvex Optimization , 2011 .
[111] P. Pardalos,et al. State of the art in global optimization: computational methods and applications , 1996 .
[112] Jung-Fa Tsai,et al. Global optimization for signomial discrete programming problems in engineering design , 2002 .
[113] Bai Fan. Global Optimization of Signomial Mixed-integer Nonlinear Programming Problems with Free Variables , 2014 .
[114] F Schoen. Computational Issues in High Performance Software for Nonlinear Optimization , 1998, J. Oper. Res. Soc..
[115] T. Westerlund,et al. Convexification of different classes of non-convex MINLP problems , 1999 .
[116] C. Floudas,et al. Global Optimization in Generalized Geometric Programming , 1997, Encyclopedia of Optimization.
[117] Nikolaos V. Sahinidis,et al. Convex extensions and envelopes of lower semi-continuous functions , 2002, Math. Program..
[118] Nikolaos V. Sahinidis,et al. A polyhedral branch-and-cut approach to global optimization , 2005, Math. Program..
[119] Christodoulos A. Floudas,et al. Recent advances in global optimization for process synthesis, design and control: Enclosure of all solutions , 1999 .
[120] Yi-Chung Hu,et al. On generalized geometric programming problems with non-positive variables , 2007, Eur. J. Oper. Res..
[121] Kaj-Mikael Björk,et al. Global solution of optimization problems with signomial parts , 2008, Discret. Optim..
[122] F. Tardella. On the existence of polyhedral convex envelopes , 2004 .