Efficiency in constrained continuous location

Article Abstract:

A geometrical characterization of the efficient, weakly efficient and strictly efficient points for multiobjective location problems are presented. The characterization are employed in convex constraints and when distances are estimated by an arbitrary norm. The results obtained conclude same characterizations previously taken for unconstrained problems. They have proven that, in planar problems, the group of constrained weakly efficient points always correspond with the closest projection of the set of unconstrained weakly efficient points onto the feasible set.

Management Theory & Techniques, Management

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Coincidence conditions in multifacility location problems with positive and negative weights

Article Abstract:

A model shows that new conditions discover more coincidences than the existing condition, even if all the facilities are attracting ones. The conditions are tested for coincidence to disintegrate some or all facilities that coincide at an optimal point into one. In this method, the dimension of the problem and the level of nondifferentiability is lessened. By testing the conditions, the problem on the optimal locations of clusters of facilities that usually coincide is managed.

Mathematical models, Facility management, Facilities management

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Restricted center problems under polyhedral gauges

Article Abstract:

New algorithms and concepts for classical location problem is developed. A combinatorial method is used to solve these continuous problems. Also, multicriteria and multi-facility Location problems as well as Weber problems are analysed. Combinatorial methods does not depend directly on the convexity assumptions, thus allowing even non-convex problems to be solved efficiently.

Functions, Polyhedral, Polyhedral functions

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