A1 Refereed original research article in a scientific journal

Stability and accuracy functions for a multicriteria Boolean linear programming problem with parameterized principle of optimality "from Condorcet to Pareto"




AuthorsNikulin Yuri, Mäkelä Marko M

PublisherELSEVIER SCIENCE BV

Publication year2010

JournalEuropean Journal of Operational Research

Journal name in sourceEUROPEAN JOURNAL OF OPERATIONAL RESEARCH

Journal acronymEUR J OPER RES

Number in series3

Volume207

Issue3

First page 1497

Last page1505

Number of pages9

ISSN0377-2217

DOIhttps://doi.org/10.1016/j.ejor.2010.06.042


Abstract

A multicriteria Boolean programming problem with linear cost functions in which initial coefficients of the cost functions are subject to perturbations is considered. For any optimal alternative, with respect to parameterized principle of optimality "from Condorcet to Pareto", appropriate measures of the quality are introduced. These measures correspond to the so-called stability and accuracy functions defined earlier for optimal solutions of a generic molt criteria combinatorial optimization problem with Pareto and lexicographic optimality principles. Various properties of such functions are studied and maximum norms of perturbations for which an optimal alternative preserves its optimality are calculated. To illustrate the way how the stability and accuracy functions can be used as efficient tools for post-optimal analysis, an application from the voting theory is considered. (C) 2010 Elsevier B.V. All rights reserved.




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