Download e-book for kindle: Operations Research Proceedings 1999: Selected Papers of the by W. Achtziger, M. P. Bendsøe (auth.), Prof. Dr. Karl

By W. Achtziger, M. P. Bendsøe (auth.), Prof. Dr. Karl Inderfurth, Prof. Dr. Gerhard Schwödiauer, Prof. Dr. Wolfgang Domschke, Prof. Dr. Friedrich Juhnke, Prof. Dr. Peter Kleinschmidt, Prof. Dr. Gerhard Wäscher (eds.)

ISBN-10: 3540670947

ISBN-13: 9783540670940

ISBN-10: 3642583008

ISBN-13: 9783642583001

This lawsuits quantity incorporates a choice of 87 papers awarded on the Symposium on Operations learn (SOR ninety nine) that used to be held on the Otto-von-Guericke-University of Magdeburg from September 1-3, 1999. The contributions conceal advancements in Mathematical Programming, Combinatorial Optimization, Graphs and Complexity, keep an eye on concept, Stochastic types and Optimization, Econometrics and information, Mathematical Economics and fiscal concept, online game and selection thought, Experimental Economics, synthetic Intelligence, Neural Networks, and Fuzzy platforms, details and choice aid platforms, Finance, Banking, and assurance, Scheduling and undertaking making plans, delivery and site visitors, stock and Logistics, creation, advertising, strength, atmosphere, and overall healthiness. during this huge box of topics the place Operations examine is utilized either, latest advances in thought and new profitable functions to perform, are stated.

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Extra resources for Operations Research Proceedings 1999: Selected Papers of the Symposium on Operations Research (SOR ’99), Magdeburg, September 1–3, 1999

Example text

An algorithm provides an effective way to actually compute an optimistic solution to (BLPP), however only if (GMFCQ) holds. Before starting we want to point out that all the "solution finding" can be done by using local search methods only. 1 Subglobal Solutions of the Lower Level From the second part of Theorem 1 we know that an optimistic solution to (BLPP) exists, if the point-to-set mapping 1)1 in (BLPP) is upper semicontinuous. In particular, this condition is fulfilled by the global solution function 1)Iglob(t) = {x E M(t) I x is a global minimizer of P(t)}.

X The pessimistic strategy means that the leader is unable to force a supportive reaction by the follower. Hence, his goal is to minimize the maximum possible damage caused by the latter. In this case, cp(t) --+ min, tET with cp(t) = max{F(x,t) I x E ll1(t)} x K. Inderfurth et al. ), Operations Research Proceedings 1999 © Springer-Verlag Berlin Heidelberg 2000 31 has to be examined. The solution to these programs are called optimistic resp. pessimistic solution, as far as they exist. In this paper we restrict ourselves to the first approach.

This is a symbolic notation which requires to explain the considered notion of solutions. In this paper minimal and properly minimal solutions of the problem (P) are studied. After giving the definitions of such solutions we will introduce a multiobjective dual optimization problem (P*). This will be a vector maximum problem. For the both problems (P) and (P*) weak K. Inderfurth et al. ), Operations Research Proceedings 1999 © Springer-Verlag Berlin Heidelberg 2000 37 and strong duality assertion as well as optimality conditions are presented.

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Operations Research Proceedings 1999: Selected Papers of the Symposium on Operations Research (SOR ’99), Magdeburg, September 1–3, 1999 by W. Achtziger, M. P. Bendsøe (auth.), Prof. Dr. Karl Inderfurth, Prof. Dr. Gerhard Schwödiauer, Prof. Dr. Wolfgang Domschke, Prof. Dr. Friedrich Juhnke, Prof. Dr. Peter Kleinschmidt, Prof. Dr. Gerhard Wäscher (eds.)


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