Engineering and economic applications of complementarity problems. (English) Zbl 0891.90158

Ferris, M. C.; Pang, J. S.

SIAM Rev. 39, No. 4, 669-713 (1997).

Summary: This paper gives an extensive documentation of applications of finite-dimensional nonlinear complementarity problems in engineering and equilibrium modeling. For most applications, we describe the problem briefly, state the defining equations of the model, and give functional expressions for the complementarity formulations. The goal of this documentation is threefold: (i) to summarize the essential applications of the nonlinear complementarity problem known to date, (ii) to provide a basis for the continued research on the nonlinear complementarity problem, and (iii) to supply a broad collection of realistic complementarity problems for use in algorithmic experimentation and other studies.

MSC:

90C33	Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
74K10	Rods (beams, columns, shafts, arches, rings, etc.)
91B50	General equilibrium theory
91A10	Noncooperative games
70E15	Free motion of a rigid body
49J40	Variational inequalities
91-02	Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance

Keywords:

complementarity problems; variational inequalities; frictional contact; structural engineering; economic equilibria; transportation planning; Nash equilibria

Software:

GAMS; QPCOMP; LANCELOT; PATH Solver; MCPLIB