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Stability radius of an efficient solution of a vector problem of integer linear programming in the Hölder metric. (English. Russian original) Zbl 1119.90029
Cybern. Syst. Anal. 42, No. 4, 609-614 (2006); translation from Kibern. Sist. Anal. 42, No. 4, 175-181 (2006).
Summary: A vector (multicriterion) problem of integer linear programming is considered on a finite set of feasible solutions. A metric $$l_p,\;1\leq p\leq \infty$$ , is defined on the parameter space of the problem. A formula of the maximum permissible level of perturbations is obtained for the parameters that preserve the efficiency (Pareto optimality) of a given solution. Necessary and sufficient conditions of two types of stability of the problem are obtained as corollaries.

##### MSC:
 90C10 Integer programming 90C31 Sensitivity, stability, parametric optimization
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##### References:
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