A Competitive Facility Location with Fuzzy Random Demands Using Necessity Measures

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  • 必然性測度を用いたファジィランダム需要を伴う競合環境下での施設配置の導出
  • ヒツゼンセイ ソクド オ モチイタ ファジィランダム ジュヨウ オ トモナウ キョウゴウ カンキョウ カ デ ノ シセツ ハイチ ノ ドウシュツ

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Abstract

Competitive facility location problem (CFLP) is one of optimal location problems for commercial facilities, e.g. shops and stores, and the objective of a decision maker for the CFLP is to maximize the obtaining demands from customers of facilities. This study focuses on a CFLP with uncertain and vagueness demands. By representing the demand for facilities with fuzzy random numbers, a CFLP can be formulated as a fuzzy random programming problem. For solving the formulated CFLP, it is reformulated to the problem as the problem to find their optimal solutions maximizing a degree of necessity under some chance constraint. After showing that one of their optimal solutions can be found by solving 0-1 programming problems, their solution method is proposed by improving the tabu search algorithm with strategic oscillation. The efficiency of the proposed method is shown by the results of applying it to numerical examples of CFLP.

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