Stability analysis of the Pareto optimal solutions for some vector Boolean optimization problem

Stability analysis of the Pareto optimal solutions for some vector Boolean optimization problem

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Article ID: iaor20061837
Country: United Kingdom
Volume: 54
Issue: 6
Start Page Number: 545
End Page Number: 563
Publication Date: Dec 2005
Journal: Optimization
Authors: , ,
Abstract:

In this article we consider the Boolean optimization problem of finding the set of Pareto optimal solutions. The vector objectives are the positive cuts of linear functions to the non-negative semi-axis. Initial data are subject to perturbations, measured by the l1-norm in the parameter space of the problem. We present the formula expressing the extreme level (stability radius) of such perturbations, for which a particular solution remains Pareto optimal.

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