Measure of stability of a Pareto optimal solution to a vector integer programming problem with fixed surcharges in the l1 and linf metrics
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Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (178)
Cercetări operaționale (OR) teorii şi metode matematice (144)
SM ISO690:2012
EMELICHEV, Vladimir; KARELKINA, Olga; KUZMIN, Kiril. Measure of stability of a Pareto optimal solution to a vector integer programming problem with fixed surcharges in the l1 and linf metrics. In: Computer Science Journal of Moldova. 2005, nr. 2(38), pp. 177-192. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 2(38) / 2005 / ISSN 1561-4042

Measure of stability of a Pareto optimal solution to a vector integer programming problem with fixed surcharges in the l1 and linf metrics
CZU: 517.938+519.8

Pag. 177-192

Emelichev Vladimir, Karelkina Olga, Kuzmin Kiril
 
Belarusian State University
 
Disponibil în IBN: 16 decembrie 2013


Rezumat

In this paper we consider a vector integer programming prob- lem with Pareto principle of optimality for the case where partial criteria belong to the class of separable piecewise linear functions. The limit level of the initial data’s perturbations in the space of vector criteria parameters with norms l1 and l1, preserved Pareto optimality of the solutions is investigated. Formulas of the quasistability radius and of strong quasistability radius of the considered problem are given as corollaries. AMSMathematics Subject Classification:90C08, 90C10.

Cuvinte-cheie
vector integer programming problem, quasistability and strong quasistability radii.,

Pareto set, stability radius