Stability and accuracy functions in multicriteria combinatorial optimization problem with Σ -MINMAX and Σ -MINMIN partial criteria

Libura, Marek; Nikulin, Yury

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Title: Stability and accuracy functions in multicriteria combinatorial optimization problem with Σ -MINMAX and Σ -MINMIN partial criteria

Abstract:

The paper considers a vector generic combinatorial optimization problem in which initial coefficients of objective functions are subject to perturbations. For Pareto and lexicographic principles of efficiency, appropriate measures of the quality of a given feasible solution from the point of view of its stability, were introduced. These measures correspond to so-called stability and accuracy functions defined earlier for scalar optimization problems. Then, the properties of such functions were studied and the maximal norms of perturbations for which an efficient solution preserves the efficiency were calculated.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Raport

Resource Identifier:

oai:rcin.org.pl:139622

Source:

RB-2004-58

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

Otwarty

Subject and keywords:

Combinatorial optimization Stability and accuracy Minimax

Object collections:

Last modified:

Oct 19, 2021

In our library since:

Sep 17, 2020

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All available object's versions:

https://rcin.org.pl./publication/175064

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Raporty Badawcze

Edition name	Date
RB-2004-58 : Libura Marek Sylwester, Nikulin Yury : Stability and accuracy functions in multicriteria combinatorial optimization problem with Σ -MINMAX and Σ -MINMIN partial criteria	Oct 19, 2021