Title:

Quantitative stability analysis in vector problems of 0-1 programming

Subtitle:

Raport Badawczy = Research Report ; RB/44/2008

Creator:

Emelichev, Vladimir ; Podkopayeu, Dzmitry

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2008

Description:

33 pages ; 21 cm ; Bibliography p. 24-26

Subject and Keywords:

Vector optimization ; Optymalizacja wektorowa ; Stability radius ; Promień stabilności ; 0-1 programming ; Programowanie zero-jedynkowe

Abstract:

The paper adresses the multiple objective 0-1 programming problems in the situation, where parameters of objective functions and parameters of linear constraints are exposed to independent perturbations. Quantitative characteristics of stability (stability radii) of problem solutions are investigated. An approach to deriving formulae and estimations of stability radii is presented. This approach is applied to stability analysis of the linear 0-1 programming problem and problems with nonlinear objective functions, namely absolute value of linear function and quadratic objective function.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2008-44

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