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Ultima descărcare din IBN: 2022-01-25 23:09 |
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519.8 (171) |
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SM ISO690:2012 EMELICHEV, Vladimir, NIKULIN, Yury. On one type of stability for multiobjective integer linear programming problem with parameterized optimality. In: Computer Science Journal of Moldova, 2020, nr. 3(84), pp. 249-268. ISSN 1561-4042. |
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Computer Science Journal of Moldova | |||||
Numărul 3(84) / 2020 / ISSN 1561-4042 /ISSNe 2587-4330 | |||||
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CZU: 519.8 | |||||
Pag. 249-268 | |||||
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Rezumat | |||||
A multiobjective problem of integer linear programming with parametric optimality is addressed. The parameterization is introduced by dividing a set of objectives into a family of disjoint subsets, within each Pareto optimality is used to establish dominance between alternatives. The introduction of this principle allows us to connect such classical optimality sets as extreme and Pareto. The admissible perturbation in such problem is formed by a set of additive matrices, with arbitrary H¨older’s norms specified in the solution and criterion spaces. The lower and upper bounds for the radius of strong stability are obtained with some important corollaries concerning previously known results. |
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Cuvinte-cheie Multiobjective problem, Integer programming, Pareto set, a set of extreme solutions, stability radius, H¨older’s norms |
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