Engineering and economic applications of complementarity problems

MC Ferris, JS Pang - Siam Review, 1997 - SIAM
This paper gives an extensive documentation of applications of finite-dimensional nonlinear
complementarity problems in engineering and equilibrium modeling. For most applications …

Multiobjective bilevel optimization: A survey of the state-of-the-art

JA Mejía-De-Dios, A Rodríguez-Molina… - … on Systems, Man …, 2023 - ieeexplore.ieee.org
Optimization makes processes, systems, or products more efficient, reliable, and with better
outcomes. A popular topic on optimization today is multiobjective bilevel optimization …

Interfaces to PATH 3.0: Design, implementation and usage

MC Ferris, TS Munson - Computational Optimization and Applications, 1999 - Springer
Several new interfaces have recently been developed requiring PATH to solve a mixed
complementarity problem. To overcome the necessity of maintaining a different version of …

[책][B] Algorithms for complementarity problems and generalized equations

SC Billups - 1995 - search.proquest.com
Recent improvements in the capabilities of complementarity solvers have led to an
increased interest in using the complementarity problem framework to address practical …

A pathsearch damped Newton method for computing general equilibria

SP Dirkse, MC Ferris - Annals of Operations Research, 1996 - Springer
Computable general equilibrium models and other types of variational inequalities play a
key role in computational economics. This paper describes the design and implementation …

Competitive location and pricing on networks with random utilities

D Kress, E Pesch - Networks and Spatial Economics, 2016 - Springer
In this paper we analyze the effect of including price competition into a classical (market
entrant's) competitive location problem. The multinomial logit approach is applied to model …

[PDF][PDF] GAMS/PATH user guide: Version 4.3

MC Ferris, TS Munson - Washington, DC: GAMS Development …, 2000 - gams.com
A fundamental problem of mathematics is to find a solution to a square system of nonlinear
equations. Two generalizations of nonlinear equations have been developed, a constrained …

MILES: A mixed inequality and nonlinear equation solver

T Rutherford - 1993 - hal.science
MILES is a solver for nonlinear complementarity problems and nonlinear systems of
equations. This solver can be accessed indirectly through GAMS/MPSGE or GAMS/MCP …

[PDF][PDF] PATH 4.6

MC Ferris, TS Munson - Available on line at http://www. gams. com/solvers …, 2007 - Citeseer
A fundamental problem of mathematics is to find a solution to a square system of nonlinear
equations. Two generalizations of nonlinear equations have been developed, a constrained …

Expressing complementarity problems in an algebraic modeling language and communicating them to solvers

MC Ferris, R Fourer, DM Gay - SIAM Journal on Optimization, 1999 - SIAM
Diverse problems in optimization, engineering, and economics have natural formulations in
terms of complementarity conditions, which state (in their simplest form) that either a certain …