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"
Authors: Nikulin Yuri, Mäkelä Marko M
Publisher: ELSEVIER SCIENCE BV
Publication year: 2010
Journal: European Journal of Operational Research
Journal name in source: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Journal acronym: EUR J OPER RES
Number in series: 3
Volume: 207
Issue: 3
First page : 1497
Last page: 1505
Number of pages: 9
ISSN: 0377-2217
DOI: https://doi.org/10.1016/j.ejor.2010.06.042
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.