Open Access
Multi-objective location problems with variable domination structure
Bettina Zargini,A. R. Doagooei +1 more
- 28 Jun 2018
Vol. 39, Iss: 3, pp 449-462
TL;DR: In this article, an inverse variational inequality was introduced to investigate the solutions of a multi-objective op-time optimization problem with respect to variable domination structure, and mild conditions were established to study the relationships between non-nominated solutions and the solutions.
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Abstract: We introduce an inverse variational inequality to investigate the solutions of a multi-objective op- timization problem with respect to variable domination structure. In particular, mild conditions are established to study the relationships between nondominated solutions and the solutions of the inverse variational inequality. Applying these results, we study a mathematical model for location problems in the case that dierent preferences with respect to dierent facilities are at hand. Finally, we adjust a new version of PROMETHEE method to obtain solutions for a scalarized multi-objective location problem. KEYWORDS: Multi-objective programming problem, Variable domination structure, Location problem, Weight function, PROMETHEE method. MSC: 90C29, 90C26.
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Citations
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TL;DR: In this article, a valued outranking graph is constructed by using a preference index, and two possibilities are considered to solve the ranking problem by using this valued graph: PROMETHEE I provides a partial preorder and PROMTHEE II a total preorder on the set of the possible actions.
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Multiple criteria facility location problems: A survey
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Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
TL;DR: In this article, a structure of domination over the objective space and the geometry of the set of all non-convex solutions for decision problems with multiple non-commensurable objectives is proposed.
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Multiobjective analysis of facility location decisions
TL;DR: The broad and multidisciplinary literature of location analysis is reviewed to uncover the scope of research that has examined the multiobjective aspects of this problem domain.
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