The stability radius in the metrics l1 of the Pareto optimal solution of one vector Boolean problem

The stability radius in the metrics l1 of the Pareto optimal solution of one vector Boolean problem

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Article ID: iaor20052347
Country: Belarus
Volume: 48
Issue: 6
Start Page Number: 26
End Page Number: 28
Publication Date: Nov 2004
Journal: Doklady of the National Academy of Sciences of Belarus
Authors: ,
Keywords: pareto-optimality
Abstract:

A vector Boolean problem of finding the Pareto set is considered. Its objectives are the projections onto R+ of linear functions. A formula for calculation of the limit level of perturbations in the space of the problem parameters with metrics l1 which preserve the Pareto-optimality of the solutions is obtained.

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