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Fuzzy Optimization and Decision Making

Erschienen in:

01.09.2014

The \(\alpha \)-cost minimization model for capacitated facility location-allocation problem with uncertain demands

verfasst von: Meilin Wen, Zhongfeng Qin, Rui Kang

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 3/2014

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Abstract

Facility location-allocation problem aims at determining the locations of some facilities to serve a set of spatially distributed customers and the allocation of each customer to the facilities such that the total transportation cost is minimized. In real life, the facility location-allocation problem often comes with uncertainty for lack of the information about the customers’ demands. Within the framework of uncertainty theory, this paper proposes an uncertain facility location-allocation model by means of chance-constraints, in which the customers’ demands are assumed to be uncertain variables. An equivalent crisp model is obtained via the \(\alpha \)-optimistic criterion of the total transportation cost. Besides, a hybrid intelligent algorithm is designed to solve the uncertain facility location-allocation problem, and its viability and effectiveness are illustrated by a numerical example.

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Titel: The -cost minimization model for capacitated facility location-allocation problem with uncertain demands
verfasst von: Meilin Wen
Zhongfeng Qin
Rui Kang
Publikationsdatum: 01.09.2014
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 3/2014
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-014-9179-z

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