Abstract
If the underlying distribution in a stochastic symmetric minimax location problem possesses a dominating point then the symmetry center is known to be an optimal location. It is shown in this paper that the symmetry center is a solution also in those cases where no dominating point exists. Furthermore neither independence of the stochastic terms occuring in the problem nor identical distribution is required.
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Frick, H. On the solution of the facility location problem when the dominance method fails. Zeitschrift für Operations Research 29, B101–B106 (1985). https://doi.org/10.1007/BF01917963
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DOI: https://doi.org/10.1007/BF01917963