Article ID Journal Published Year Pages File Type
4635736 Applied Mathematics and Computation 2006 7 Pages PDF
Abstract

Nonlinear complementarity problems NCP(F) have many practical applications. For NCPs arising from traffic equilibrium, the mapping F usually does not have explicit forms and only its value can be evaluated/observed for given variables. In this paper, such problems are called implicit NCPs. We concern the devised methods which only use the observed function values in the solution process. The goals of this paper are twofold: first, we point out that the mathematical form of some essential applications in traffic is an implicit NCP, and second, an effective direct method for solving monotone implicit NCPs is introduced.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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