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Stability and Accuracy Functions for a Multicriteria Boolean Linear Programming Problem with Parameterized Principle of Optimality “from Condorcet to Pareto”

M. Marko Mäkelä, Stability and Accuracy Functions for a Multicriteria Boolean Linear Programming Problem with Parameterized Principle of Optimality “from Condorcet to Pareto”. European Journal of Operational Research 207(3), 1497–1505, 2010.

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 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.

BibTeX entry:

@ARTICLE{jMx10a,
  title = {Stability and Accuracy Functions for a Multicriteria Boolean Linear Programming Problem with Parameterized Principle of Optimality “from Condorcet to Pareto”},
  author = {Mäkelä, M. Marko},
  journal = {European Journal of Operational Research},
  volume = {207},
  number = {3},
  publisher = {Elsevier},
  pages = {1497–1505},
  year = {2010},
  ISSN = {0377-2217},
}

Belongs to TUCS Research Unit(s): Turku Optimization Group (TOpGroup)

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