Fully fuzzy fixed charge multi-item solid transportation problem |
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| Affiliation: | 1. School of Industrial Engineering, Collage of Engineering, University of Tehran, Tehran, Iran, 11155 4563;2. Department of Mechanical and Industrial Engineering, Ryerson University, ON, Canada, M5B 2K3;1. Faculty of Engineering, Menoufia University, Shebin El-Kom, Egypt;2. Faculty of Computers and Information, Cairo University, Egypt;3. Faculty of Computers and Information, Mansoura University, Egypt |
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| Abstract: | This paper presents fully fuzzy fixed charge multi-item solid transportation problems (FFFCMISTPs), in which direct costs, fixed charges, supplies, demands, conveyance capacities and transported quantities (decision variables) are fuzzy in nature. Objective is to minimize the total fuzzy cost under fuzzy decision variables. In this paper, some approaches are proposed to find the fully fuzzy transported amounts for a fuzzy solid transportation problem (FSTP). Proposed approaches are applicable for both balanced and unbalanced FFFCMISTPs. Another fuzzy fixed charge multi-item solid transportation problem (FFCMISTP) in which transported amounts (decision variables) are not fuzzy is also presented and solved by some other techniques. The models are illustrated with numerical examples and nature of the solutions is discussed. |
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| Keywords: | Solid transportation problem Fixed charge Multi-item Fully fuzzy solution Fuzzy chance constraint programming |
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