BndMPCC

BndMPCC: Bound-Constrained Mathematical Programs with Complementarity Constraints

A small collection of MPCCs that have only simple bounds or complementarity constraints between variables.

Bound-Constrained Quadratic Programs with Complementarity Constraints

Randomly generated QPCCs with bound constraints in AMPL format.

• AMPL model file in MPCC format: BndQPEC.mod
• AMPL model file formulation as NLP: BndQPECn.mod
• Matlab generator for random instances: genBndQPEC.m
• AMPL (dat) files of some generated instances: BndQPECsDAT.zip
• AMPL (nl) files of some generated instances: BndQPECsNL.zip

Bound-Constrained Nonlinear Programs with Complementarity Constraints

Problem instances generated from unconstrained nonlinear optimization problems by adding bounds and two types of complementarity constraint (verions 0 and 1).

• Fletcher function: fletcher0.mod, fletcher1.mod
• Himmelblau function: himmelblau0.mod, himmelblau1.mod
• McCormick function: mccormick0.mod, mccormick1.mod
• Powell function: powell0.mod, powell1.mod
• Rosenbrock function: rosenbrock0.mod, rosenbrock1.mod

Each function can be run with an adjustable number of variables. NL-files for a subset of instances are here: BndMPECsNL.zip (instances with NLP correspond to problems in which the complementarity constraint was replaced by a nonlinear inequality constraint).