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Author
Skulimowski Andrzej M.J.
Title
On Multicriteria Problems with Modification of Attributes
Source
Multiple Criteria Decision Making / University of Economics in Katowice, 2007, vol. 2, s. 117-136, bibliogr. 9 poz.
Keyword
Optymalizacja wielokryterialna, Podejmowanie decyzji, Optymalizacja matematyczna, Programowanie dynamiczne, Programowanie matematyczne, Modele matematyczne
Multiple criteria optimization, Decision making, Mathematical optimization, Dynamic programming, Mathematical programming, Mathematical models
Note
summ., Korespondencja z redakcją: numeracja wpisana za zgodą redakcji (wynika z ciągłości wydawniczej serii MCDM) - brak numeracji na stronie tytułowej
Abstract
In this paper we propose a mathematical model for multicriteria decision problems with alternatives which may change their properties in a direct response to external actions. We assume that the change of attributes may be controlled by the decision-maker taking into account that an improvement of the criteria values bears certain cost. Thus we get a bi-level multicriteria optimization problem: an optimal allocation of resources at the lower level, and finding the related nondominated outputs surpassing a reference point q at the higher level. A concrete problem of this type, motivated by technological, ecological and socio-economical applications, will be discussed in more detail, namely optimizing the structure of a finite population X by assuring that after a fixed time T a maximal number of its elements is characterized by nondominated values of criteria. Assuming that X consists of N elements, the solution to this problem is equivalent to solving in parallel N discrete dynamic programming problems sharing the same resources. (original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
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Bibliography
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ISSN
2084-1531
Language
eng
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