Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Name: Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
Brand: Springer
SKU: 9780792351702
Price: 61266 HUF
Availability: InStock

Theory, Applications and Numerical Results

Szerző: J. Outrata, M. Kocvara, J. Zowe

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer

Elérhetőség: Beszállítói készleten alacsony példányszámban

Küldés 11-15 napon belül

61 266 Ft

In the early fifties, applied mathematicians, engineers and economists started to pay c10se attentio...

Információk a könyvről

Szerző

J. Outrata, M. Kocvara, J. Zowe

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

1998

oldal

274

EAN

9780792351702

ISBN

0792351703

Enbook ID

01395760

Kiadó

Springer

Súly

1320

Méretek

156 x 234 x 21

Teljes leírás

In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.

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Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Theory, Applications and Numerical Results

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Teljes leírás

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