[ MPEC World Home | Board | Solvers | MPECLib | Links | GamsWorld-group | Search | Contact ] |
---|

- Anandalingam, G, and White, D J, A Solution Method for the Linear Static Stackelberg Problem Using Penalty Functions. IEEE Trans. Auto. Contr. 35 (1990), 1170-1173.
- 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.
- 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.
- Candler, W, and Townsley, R, A Linear Two-Level Programming Problem. Comp. Op. Res. 9 (1982), 59-76.
- 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.
- 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.
- 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.
- Dirkse, S P, and Ferris, M C, MCPLIB: A Collection of Nonlinear Mixed Complementarity Problems. Optimization Methods and Software 5 (1995), 319-345.
- Facchinei, F, Jiang, H, and Qi, L, A Smoothing Method for Mathematical Programs with Equilibrium Constraints. Tech. rep., Universita di Roma La Sapienza, 1996.
- Falk, J E, and Liu, J, On Bilevel Programming, Part i: General Nonlinear Cases. Mathematical Programming 70 (1995), 47.
- 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.
- 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.
- Fukushima, M, and Qi, L, Eds, Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods. Kluwer Academic Publishers, 1999.
- Grzebieta, R H, Al-Mahaidi, R, and Wilson, J L, Eds, Proceedings of 15th ACMSM, 1997.
- Hansen, Jaumard, and Savard, G, New Branch-and-Bound Rules for Linear Bilevel Programming. SIAM J. Sci. Stat. Comp 13 (1992), 1194-1217.
- Hearn, and Ramana, Solving Congestion Toll Pricing Models. Tech. rep., University of Florida, 0000.
- Henderson, J M, and Quandt, R E, Microeconomic Theory. McGraw Hill, New York, 1980. 3rd edition
- 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).
- Kehoe, T, A Numerical Investigation of the Multiplicity of Equilibria. Mathematical Programming Study 23 (1985), 240-258.
- Light, M, Optimal Taxation: An Application of Mathematical Programming with Equilibrium Constraints in Economics. Tech. rep., Department of Economics, University of Colorado, Boulder, 1999.
- 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.
- Luo, Z, Pang, J S, and Ralph, D, Mathematical Programs with Equilibrium Constraints. CUP, 1997.
- Maier, G, Giannessi, F, and Nappi, A, Indirect Identification of Yield Limits by Mathematical Programming. Engineering Structures 4 (1982), 86-98.
- 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.
- Nemhauser, G L, and Trick, M A, Scheduling a Major College Basketball Conference. Operations Research 46 (1998), 1-8.
- 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.
- 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.
- Savard, G, and Gauvin, J, The Steepest Descent for the Nonlinear Bilevel Programming Problem. Operation Research Letters 15 (1994), 265-272.
- 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.
- Shimizu, K, and Aiyoshi, E, A New Computational Method for Stackelberg and Mim-Max Problems by Use of a Penalty Method. IEEE Trans. on Aut. Control 26 (1981).
- Shimizu, K, Ishizuka, Y, and Bard, J F, Nondifferentiable and Two-Level Mathematical Programming. Kluwer Academic Publishers, 1997.
- Toint, P L, Ed, Operations Research and Decision Aid Methodologies in Traffic and Transportation Management. Springer Verlag, 1997. NATO ASI Series F
- Yezza, A, First-Order Necessary Optimality Conditions for General Bilevel Programming Problems. Journal of Optimization Theory and Applications 89 (1996), 189-219.