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有能力约束模糊单资源设备选址问题的研究论文
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Abstract
Abstract
Facility location problem is to study how to locate the facility and how to
allocate the products for the customers. In realistic facility location problems, the
transportation cost of facility and the customers demands usually have fuzziness,
so we could adopt a fuzzy theory to study facility location problem.
This thesis takes credibility theory as the methematics foundation to study two
classes of novel facility location problems: fuzzy single-source facility location model
with service level requirements and fuzzy single-source facility location model with
Value-at-Risk. Considering customers demands are charaterized by mutually inde-
pendent fuzzy variables, we transform the irst model into its equivalent form. when
the fuzzy demands are mutivariate normal fuzzy vectors, we employ an approXima-
tion approach to discretize normal fuzzy demand, and then turn the the original
problem into a miXed-interger problem with logic constraints. We design genetic
algorithm and present some numerical eXamples to illustrate the edectiveness of the
designed algorithm.
The main contribution contains the following four aspects:
(i) We present two new classes of facility location models: fuzzy single-source
facility location model with service level requirements and fuzzy sing
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