Operations Research Proceedings 1995: Selected Papers of the by Ulrich Faigle, Marcel Hunting, Walter Kern (auth.), Prof.

By Ulrich Faigle, Marcel Hunting, Walter Kern (auth.), Prof. Dr. Peter Kleinschmidt, Prof. Dr. Achim Bachem, Prof. Dr. Dr. Ulrich Derigs, Dr. Dietrich Fischer, Prof. Dr. Ulrike Leopold-Wildburger, Prof. Dr. Rolf Möhring (eds.)

Das Buch enthält ausgewählte Vorträge, die anläßlich des Symposiums über Operations learn (SOR'95) in der Zeit vom 13.-15.9.1995 an der Universität Passau gehalten wurden. Der Leser erhält einen Einblick in neueste Forschungsergebnisse auf dem Gebiet des Operations examine. Der Sammelband demonstriert eindrucksvoll das weite Spektrum der vom Operations learn heute behandelten Thematiken. Neben primär methodischen Fragestellungen bilden praxisorientierte Themen wie Anwendungsberichte aus der Praxis, im Umweltschutz, der Logistik und Verkehrsplanung einen Schwerpunkt. Deutlich wird auch die Ausstrahlung des Operations study in andere wissenschaftliche Disziplinen wie Informatik, Ökonomie und Wirtschaftsinformatik.

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Additional resources for Operations Research Proceedings 1995: Selected Papers of the Symposium on Operations Research (SOR’95), Passau, September 13 – September 15, 1995

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Analogous techniques may be applied if the constraint cated one(s). : Generalized Nash games and quasi· variational inequalities. Eur. J. Oper. Res. : Finite dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Math. Prog. : Regular points of Lipschitz functions. Trans. Amer. Math. Soc. : Newton's method based on generalized derivatives for nonsmooth functions: Convergence analysis. In Lecture Notes in Economics and Math. : A mathematical programming approach for determining oligopolistic market equilibrium.

43 2 POEM Project The POEM Project is an applied research project supported by a French governmental organization with industrial partners involved. In this project, we have to develop a software package to deal with various cutting and packing problems in industry. This package should cover problems with 1, 2 and 3 dimensions. In this project, we consider not only trim loss or number of bins used as usually considered in the literature, but also other economical criteria such as cutting or packing time.

The sets {y E C'ly' ::; Z - L: xl}, i = 1,2, ... , n, then the constrained Nash equilibrium can be i=l i#i characterized byn the_ quasi-variational inequality (QVI): Find x E i~ Ci(x) such that (P(x),y-x)~Oforall thereby P(x) =[ i3 Gi(x); yE V xl~l(X) : (7) 1. Vxnfn(x) There are different ways how to write (7) in form of a nonsmooth equation possibility is to set ~i(x) ~(x) n = max {pi(x), xi -min{Ii,Z _ L: xi}}, i = 1,2, ... ,n. i=l = o. One (8) #i. However, whenever the constraint t xi ::; Z is active at the solution x , the strong ED-regularity i=l is violated.

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