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並列摘要


We consider a non-cooperative facility location game by two competitive companies on a linear and a planar market with discrete demand points. The leader and the follower locate their branch shops in the market one by one in order to maximize their own profit, which is assumed to be proportional to the amount of demand taken in their territories. The feature of this paper is that the demand is assumed to be vague and different according to each facility. We consider two types of problems, i.e., to find the optimal location for the follower and to find that for the leader. We formulate these problems with fuzzy number and solve them by using some properties derived in this paper.

參考文獻


Shiode, S.(2005).Competitive facility location problem with various demand on facilities.Kobe Gakuin Economic Papers.37(1-2),51-63.
Drezner, Z.(1982).Competitive location strategies for two facilities.Regional Science and Urban Economics.12(4),485-493.
Hakimi, S.L.(1983).On locating new facilities in a competitive environment.European Journal of Operational Research.12(1),29-35.
Hotelling, H.(1929).Stability in competition.Economic Journal.39(153),41-57.
Shiode, S.(2005).Competitive facility location problem with various demand on facilities.Kobe Gakuin Economic Papers.37(1-2),51-63.

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