Credits

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Credits:

Adjiman, C S	Bard, J F	Bixby, R	Candler, W	Carolan, W J
Ceria, S	Clark, P A	DeSilva, A H	Dirkse, S P	Esposito, W R
Facchinei, F	Ferris, M C	Floudas, C A	Gauvin, J	Giannessi, F
Gumus, Z H	Handbook of Test Problems	Harding, S T	Hart, S M	Henderson, J M
Hill, J E	Jiang, H	Kehoe, T	Kennington J L	Klepeis, J L
Liu, Y H	Luo, Z	Maier, G	McZeal C M	Meyer, C A
Murphy, F H	Nappi, A	Nemhauser, G L	Niemi, S	Outrata, J V
Pang, J S	Pardalos, P M	Qi, L	Quandt, R E	Ralph, D
Savard, G	Savelsbergh, M W P	Scholtes, S	Schweiger, C A	Sherali, H D
Soyster, A L	Stohr, M	Tin-Loi, F	Townsley, R	Trick, M A
Westerberg, A W	Wichmann, S J	Zowe, J

Credit List:

Adjiman, C S:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Bard, J F:

Bard, J F, Convex Two-Level Optimization. Mathematical Programming 40 (1988), 15-27.
Bard, J F, Some Properties of the Bilevel Programming Problem. Journal of Optimization Theory and Applications 68 (1991), 371-378.
Bard, J F, and Falk, J E, An Explicit Solution to the Multi-Level Programming Problem. Comp. Op. Res. 9 (1982), 77-100.
Shimizu, K, Ishizuka, Y, and Bard, J F, Nondifferentiable and Two-Level Mathematical Programming. Kluwer Academic Publishers, 1997.
Models:

Bixby, R:

Bixby, R, Ceria, S, McZeal C M, and Savelsbergh, M W P, An Updated Mixed Integer Programming Library: MIPLIB 3.0. Optima 58 (1998), 12-15.
Models:

Candler, W:

Candler, W, and Townsley, R, A Linear Two-Level Programming Problem. Comp. Op. Res. 9 (1982), 59-76.
Model:
- ex9_1_3m

Carolan, W J:

Carolan, W J, Hill, J E, Kennington J L, Niemi, S, and Wichmann, S J, An Empirical Evaluation of the KORBX Algorithms for Military Airlift Applications. Operations Research 38, 2 (1990), 240-248.
Models:

Ceria, S:

Bixby, R, Ceria, S, McZeal C M, and Savelsbergh, M W P, An Updated Mixed Integer Programming Library: MIPLIB 3.0. Optima 58 (1998), 12-15.
Models:

Clark, P A:

Clark, P A, and Westerberg, A W, Bilevel Programming for Steady-State Chemical Process Design-i. Fundamentals and Algorithms. Comput. Chem. Eng. 14 (1990), 87.
Clark, P A, and Westerberg, A W, A Note on the Optimality Conditions for the Bilevel Programming Problem. Naval Research Logistics 35 (1988), 413-418.
Models:
- ex9_1_1m
- ex9_1_4m

DeSilva, A H:

DeSilva, A H, Sensitivity Formulas for Nonlinear Factorable Programming and their Application to the Solution of an Implicitly Defined Optimization Model of US Crude Oil Production. PhD thesis, George Washington University, 1978.
Model:
- desilva

Dirkse, S P:

Dirkse, S P, and Ferris, M C, MCPLIB: A Collection of Nonlinear Mixed Complementarity Problems. Optimization Methods and Software 5 (1995), 319-345.
Dirkse, S P, and Ferris, M C, Traffic Modeling and Variational Inequalities Using GAMS. In Toint, P L, Ed, Operations Research and Decision Aid Methodologies in Traffic and Transportation Management. Springer Verlag, 1997.
Dirkse, S P, and Ferris, M C, Modeling and Solution Environments for MPEC: GAMS and MATLAB. In Fukushima, M, and Qi, L, Eds, Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods. Kluwer Academic Publishers, 1999, pp. 127-148.
Models:
- three
- tollmpec

Esposito, W R:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Facchinei, F:

Facchinei, F, Jiang, H, and Qi, L, A Smoothing Method for Mathematical Programs with Equilibrium Constraints. Tech. rep., Universita di Roma La Sapienza, 1996.
Model:
- fjq1

Ferris, M C:

Dirkse, S P, and Ferris, M C, MCPLIB: A Collection of Nonlinear Mixed Complementarity Problems. Optimization Methods and Software 5 (1995), 319-345.
Dirkse, S P, and Ferris, M C, Traffic Modeling and Variational Inequalities Using GAMS. In Toint, P L, Ed, Operations Research and Decision Aid Methodologies in Traffic and Transportation Management. Springer Verlag, 1997.
Dirkse, S P, and Ferris, M C, Modeling and Solution Environments for MPEC: GAMS and MATLAB. In Fukushima, M, and Qi, L, Eds, Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods. Kluwer Academic Publishers, 1999, pp. 127-148.
Ferris, M C, and Tin-Loi, F, On the Solution of a Minimum Weight Elastoplastic Problem Involving Displacement and Complementarity Constraints. Comp. Meth. in Appl. Mech. and Engng 174 (1999), 107-120.
Ferris, M C, and Tin-Loi, F, Nonlinear Programming Approach for a Class of Inverse Problems in Elastoplasticity. Structural Engineering and Mechanics 6 (1998), 857-870.
Models:

Floudas, C A:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Floudas, C A, and Pardalos, P M, Eds, State of the Art in Global Optimization. Kluwer Academic Publishers, 1996.
Models:

Gauvin, J:

Savard, G, and Gauvin, J, The Steepest Descent for the Nonlinear Bilevel Programming Problem. Operation Research Letters 15 (1994), 265-272.
Model:
- gauvin

Giannessi, F:

Maier, G, Giannessi, F, and Nappi, A, Indirect Identification of Yield Limits by Mathematical Programming. Engineering Structures 4 (1982), 86-98.
Models:

Gumus, Z H:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Handbook of Test Problems:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Harding, S T:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Hart, S M:

Liu, Y H, and Hart, S M, Characterizing an Optimal Solution to the Linear Bilevel Programming Problem. European Journal of Operational Research 79 (1994), 164-166.
Model:
- ex9_1_2m

Henderson, J M:

Henderson, J M, and Quandt, R E, Microeconomic Theory. McGraw Hill, New York, 1980. 3rd edition
Model:
- hq1

Hill, J E:

Carolan, W J, Hill, J E, Kennington J L, Niemi, S, and Wichmann, S J, An Empirical Evaluation of the KORBX Algorithms for Military Airlift Applications. Operations Research 38, 2 (1990), 240-248.
Models:

Jiang, H:

Facchinei, F, Jiang, H, and Qi, L, A Smoothing Method for Mathematical Programs with Equilibrium Constraints. Tech. rep., Universita di Roma La Sapienza, 1996.
Jiang, H, Ralph, D, and Tin-Loi, F, Identification of Yield Limits .... In Grzebieta, R H, Al-Mahaidi, R, and Wilson, J L, Eds, Proceedings of 15th ACMSM. Balkema, Rotterdam, Melbourne, Australia, 1997, pp. 399-404.
Jiang, H, and Ralph, D, Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints. Tech. rep., University of Melbourne, 1997.
Jiang, H, and Ralph, D, QPECgen: A MATLAB Generator for Mathematical Programs with Quadratic Objectives and Affine Variational Inequality Cnostraints. Computational Optimization and Applications (0000).
Models:
- fjq1
- tinloi

Kehoe, T:

Kehoe, T, A Numerical Investigation of the Multiplicity of Equilibria. Mathematical Programming Study 23 (1985), 240-258.
Models:

Kennington J L:

Carolan, W J, Hill, J E, Kennington J L, Niemi, S, and Wichmann, S J, An Empirical Evaluation of the KORBX Algorithms for Military Airlift Applications. Operations Research 38, 2 (1990), 240-248.
Models:

Klepeis, J L:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Liu, Y H:

Liu, Y H, and Hart, S M, Characterizing an Optimal Solution to the Linear Bilevel Programming Problem. European Journal of Operational Research 79 (1994), 164-166.
Model:
- ex9_1_2m

Luo, Z:

Luo, Z, Pang, J S, and Ralph, D, Mathematical Programs with Equilibrium Constraints. CUP, 1997.
Models:
- dempe
- dempe2

Maier, G:

Maier, G, Giannessi, F, and Nappi, A, Indirect Identification of Yield Limits by Mathematical Programming. Engineering Structures 4 (1982), 86-98.
Models:

McZeal C M:

Bixby, R, Ceria, S, McZeal C M, and Savelsbergh, M W P, An Updated Mixed Integer Programming Library: MIPLIB 3.0. Optima 58 (1998), 12-15.
Models:

Meyer, C A:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Murphy, F H:

Murphy, F H, Sherali, H D, and Soyster, A L, A Mathematical Programming Approach for Determining Oligopolistic Market Equilibrium. Mathematical Programming 24 (1982), 92-106.
Model:
- mss

Nappi, A:

Maier, G, Giannessi, F, and Nappi, A, Indirect Identification of Yield Limits by Mathematical Programming. Engineering Structures 4 (1982), 86-98.
Models:

Nemhauser, G L:

Nemhauser, G L, and Trick, M A, Scheduling a Major College Basketball Conference. Operations Research 46 (1998), 1-8.
Models:

Niemi, S:

Carolan, W J, Hill, J E, Kennington J L, Niemi, S, and Wichmann, S J, An Empirical Evaluation of the KORBX Algorithms for Military Airlift Applications. Operations Research 38, 2 (1990), 240-248.
Models:

Outrata, J V:

Outrata, J V, and Zowe, J, A Numerical Approach to Optimization Problems with Variational Inequality Constraints. Mathematical Programming 68 (1995), 105-130.
Outrata, J V, On Optimization Problems with Variational Inequality Constraints. SIAM J. Optim. 4 (1994), 340-357.
Outrata, J V, Kocvara, and Zowe, J, Nonsmooth Approach to Optimization Problems with Equilibrium Constraints. Kluwer, 1998.
Models:

Pang, J S:

Luo, Z, Pang, J S, and Ralph, D, Mathematical Programs with Equilibrium Constraints. CUP, 1997.
Pang, J S, and Tin-Loi, F, A penalty interior point algorithm for a inverse parameter identification problem in elastoplasticity. Mechanics of Structures and Machines 29 (2001), 85-99.
Models:

Pardalos, P M:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Floudas, C A, and Pardalos, P M, Eds, State of the Art in Global Optimization. Kluwer Academic Publishers, 1996.
Models:

Qi, L:

Facchinei, F, Jiang, H, and Qi, L, A Smoothing Method for Mathematical Programs with Equilibrium Constraints. Tech. rep., Universita di Roma La Sapienza, 1996.
Fukushima, M, and Qi, L, Eds, Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods. Kluwer Academic Publishers, 1999.
Model:
- fjq1

Quandt, R E:

Henderson, J M, and Quandt, R E, Microeconomic Theory. McGraw Hill, New York, 1980. 3rd edition
Model:
- hq1

Ralph, D:

Jiang, H, Ralph, D, and Tin-Loi, F, Identification of Yield Limits .... In Grzebieta, R H, Al-Mahaidi, R, and Wilson, J L, Eds, Proceedings of 15th ACMSM. Balkema, Rotterdam, Melbourne, Australia, 1997, pp. 399-404.
Luo, Z, Pang, J S, and Ralph, D, Mathematical Programs with Equilibrium Constraints. CUP, 1997.
Jiang, H, and Ralph, D, Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints. Tech. rep., University of Melbourne, 1997.
Jiang, H, and Ralph, D, QPECgen: A MATLAB Generator for Mathematical Programs with Quadratic Objectives and Affine Variational Inequality Cnostraints. Computational Optimization and Applications (0000).
Models:

Savard, G:

Savard, G, and Gauvin, J, The Steepest Descent for the Nonlinear Bilevel Programming Problem. Operation Research Letters 15 (1994), 265-272.
Hansen, Jaumard, and Savard, G, New Branch-and-Bound Rules for Linear Bilevel Programming. SIAM J. Sci. Stat. Comp 13 (1992), 1194-1217.
Model:
- gauvin

Savelsbergh, M W P:

Bixby, R, Ceria, S, McZeal C M, and Savelsbergh, M W P, An Updated Mixed Integer Programming Library: MIPLIB 3.0. Optima 58 (1998), 12-15.
Models:

Scholtes, S:

Scholtes, S, and Stohr, M, Exact Penalization of Mathematical Programs with Equilibrium Constraints. SIAM J. Control Optim. 37, 2 (1999), 617-652.
Scholtes, S, Research Papers in Managements Studies. Tech. rep., The Judge Institute, University of Cambridge, 1997.
Models:

Schweiger, C A:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Sherali, H D:

Murphy, F H, Sherali, H D, and Soyster, A L, A Mathematical Programming Approach for Determining Oligopolistic Market Equilibrium. Mathematical Programming 24 (1982), 92-106.
Model:
- mss

Soyster, A L:

Murphy, F H, Sherali, H D, and Soyster, A L, A Mathematical Programming Approach for Determining Oligopolistic Market Equilibrium. Mathematical Programming 24 (1982), 92-106.
Model:
- mss

Stohr, M:

Scholtes, S, and Stohr, M, Exact Penalization of Mathematical Programs with Equilibrium Constraints. SIAM J. Control Optim. 37, 2 (1999), 617-652.
Models:

Tin-Loi, F:

Jiang, H, Ralph, D, and Tin-Loi, F, Identification of Yield Limits .... In Grzebieta, R H, Al-Mahaidi, R, and Wilson, J L, Eds, Proceedings of 15th ACMSM. Balkema, Rotterdam, Melbourne, Australia, 1997, pp. 399-404.
Ferris, M C, and Tin-Loi, F, On the Solution of a Minimum Weight Elastoplastic Problem Involving Displacement and Complementarity Constraints. Comp. Meth. in Appl. Mech. and Engng 174 (1999), 107-120.
Ferris, M C, and Tin-Loi, F, Nonlinear Programming Approach for a Class of Inverse Problems in Elastoplasticity. Structural Engineering and Mechanics 6 (1998), 857-870.
Pang, J S, and Tin-Loi, F, A penalty interior point algorithm for a inverse parameter identification problem in elastoplasticity. Mechanics of Structures and Machines 29 (2001), 85-99.
Models:

Townsley, R:

Candler, W, and Townsley, R, A Linear Two-Level Programming Problem. Comp. Op. Res. 9 (1982), 59-76.
Model:
- ex9_1_3m

Trick, M A:

Nemhauser, G L, and Trick, M A, Scheduling a Major College Basketball Conference. Operations Research 46 (1998), 1-8.
Models:

Westerberg, A W:

Clark, P A, and Westerberg, A W, Bilevel Programming for Steady-State Chemical Process Design-i. Fundamentals and Algorithms. Comput. Chem. Eng. 14 (1990), 87.
Clark, P A, and Westerberg, A W, A Note on the Optimality Conditions for the Bilevel Programming Problem. Naval Research Logistics 35 (1988), 413-418.
Models:
- ex9_1_1m
- ex9_1_4m

Wichmann, S J:

Carolan, W J, Hill, J E, Kennington J L, Niemi, S, and Wichmann, S J, An Empirical Evaluation of the KORBX Algorithms for Military Airlift Applications. Operations Research 38, 2 (1990), 240-248.
Models:

Zowe, J:

Outrata, J V, and Zowe, J, A Numerical Approach to Optimization Problems with Variational Inequality Constraints. Mathematical Programming 68 (1995), 105-130.
Outrata, J V, Kocvara, and Zowe, J, Nonsmooth Approach to Optimization Problems with Equilibrium Constraints. Kluwer, 1998.
Models:
- oz3
- qvi