Title:

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

Subtitle:

Raport Badawczy = Research Report ; RB/58/2004

Creator:

Libura, Marek ; Nikulin, Yury

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2004

Description:

14 pages ; 21 cm ; Bibliography p. 13-14

Subject and Keywords:

Combinatorial optimization ; Stability and accuracy ; Minimax

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

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2004-58

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open