A New Hybrid Algorithm to Optimize Stochastic-fuzzy Capacitated Multi-Facility Location-allocation Problem
Facility location-allocation models are used in a widespread variety of applications to determine the number of required facility along with the relevant allocation process. In this paper, a new mathematical model for the capacitated multi-facility location-allocation problem with probabilistic cus...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University, Qazvin Branch
2011-01-01
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| Series: | Journal of Optimization in Industrial Engineering |
| Subjects: | |
| Online Access: | http://www.qjie.ir/article_68_6e4be1c6f07f92bbd18845d8da1ec5ed.pdf |
| Summary: | Facility location-allocation models are used in a widespread variety of applications to determine the number of required facility along with the relevant allocation process. In this paper, a new mathematical model for the capacitated multi-facility location-allocation problem with
probabilistic customer's locations and fuzzy customer’s demands under the Hurwicz criterion is proposed. This model is formulated as α-cost minimization model according to different criteria. Since our problem is strictly Np-hard, a new hybrid intelligent algorithm is presented to solve the stochastic-fuzzy model. The proposed algorithm is based on a vibration damping optimization (VDO) algorithm which is combined with the simplex algorithm and fuzzy simulation (SFVDO). Finally, a numerical example is presented to illustrate the capability of the proposed solving methodologies. |
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| ISSN: | 2251-9904 2423-3935 |