Stability and accuracy functions for a multicriteria Boolean linear programming problem with parameterized principle of optimality "from Condorcet to Pareto"
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 multicriteria 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.
Year of publication: |
2010
|
---|---|
Authors: | Nikulin, Yury ; Mäkelä, Marko M. |
Published in: |
European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 207.2010, 3, p. 1497-1505
|
Publisher: |
Elsevier |
Keywords: | Condorcet optimality Pareto optimality Stability and accuracy Multicriteria optimization |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
Nikulin, Jurij V., (2010)
-
A new achievement scalarizing function based on parameterization in multiobjective optimization
Nikulin, Jurij V., (2012)
-
On accuracy, robustness and tolerances in vector Boolean optimization
Nikulin, Jurij V., (2013)
- More ...