This paper gives an extensive documentation of applications of finite-dimensional nonlinear complementarity problems in engineering and equilibrium modeling. For most applications, w describe the problem briefly, state the ...

Diverse problems in optimization, engineering, and exonomics have natural formulations in terms of complementarity conditions, which state (in their simplest form) that either a certain non-negative variable must be zero ...

Recent improvements in the capabilities of complementarity solvers have led to an increased interest in using the complementarity problem framework to address practical problems arising in mathematical programming, economics, ...

We describe several new tools for modeling MPEC problems that are built around the introduction of an MPEC model type into the GAMS language. We develop subroutines that allow such models to be communicated directly to ...

By utilizing a dual complementarity condition, we propose an iterative method for solving the NPhard absolute value equation (AVE): Ax?|x| = b, where A is an n�n square matrix. The algorithm makes no assumptions on the ...

QPCOMP is an extremely robust algorithm for solving mixed nonlinear complementarity problems that has fast local convergence behavior. Based in part on NE/SQP method of Pang and Gabriel [14], this algorithm represents a ...

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 nonnegative variable must be zero ...

The GAMS modeling language has recently been extended to enable the formulation of Mixed Complementarity Problems (MCP). The GAMS Callable Program Library (CPLIB) is a set of Fort ran subroutines developed as an extension ...

Complementarity problems arise in a wide variety of disciplines. Prototypical examples include theWardropian andWalrasian equilibrium models encountered in the engineering and economic disciplines and the first order ...

We propose a class of parametric smooth functions that approximate the fundamental plus function, (x)+ =max {0,x}, by twice integrating a probability density function. This leads to classes of smooth parametric nonlinear ...