Download PDF by Jiri Outrata,M. Kocvara,J. Zowe: Nonsmooth Approach to Optimization Problems with Equilibrium

By Jiri Outrata,M. Kocvara,J. Zowe

within the early fifties, utilized mathematicians, engineers and economists began to pay c10se awareness to the optimization difficulties during which one other (lower-Ievel) optimization challenge arises as a facet constraint. one of many motivating components used to be the idea that of the Stackelberg answer in video game conception, including its monetary purposes. different difficulties were encountered within the seventies in common sciences and engineering. lots of them are of sensible value and feature been commonly studied, generally from the theoretical standpoint. Later, purposes to mechanics and community layout have bring about an extension of the matter formula: Constraints in kind of edition al inequalities and complementarity difficulties have been additionally admitted. The time period "generalized bi point programming difficulties" used to be used at the start yet later, most likely in Harker and Pang, 1988, a distinct terminology used to be brought: Mathematical courses with equilibrium constraints, or just, MPECs. during this booklet we adhere to MPEC terminology. lots of papers bargains with MPECs yet, to our wisdom, there's just one monograph (Luo et al. , 1997). This monograph concentrates on optimality stipulations and numerical equipment. Our ebook is orientated equally, yet we specialize in these MPECs which might be handled through the implicit programming process: the equilibrium constraint in the community defines a definite implicit functionality and permits to transform the matter right into a mathematical software with a nonsmooth objective.

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Nonsmooth Approach to Optimization Problems with Equilibrium (Nonconvex Optimization and Its Applications) by Jiri Outrata,M. Kocvara,J. Zowe


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