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\(\epsilon\)-approximations for multidimensional weighted location problems. (English) Zbl 0575.90021

Oper. Res. 33, 772-783 (1985).

This paper considers the multidimensional weighted minimax location problem, namely, finding a facility location that minimizes the maximal weighted distance to n points. General distance norms are used. An \(\epsilon\)-approximate solution is obtained by applying a variant of the Russian method for the solution of Linear Programming. The algorithm has a time complexity of O(n log \(\epsilon)\) for fixed dimensionality k. Computational results are presented.

Cited in 1 Document

MSC:

90B05	Inventory, storage, reservoirs
90C90	Applications of mathematical programming
90C05	Linear programming

Keywords:

multidimensional weighted minimax location; epsilon-approximate solution

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