Affiliations: [a] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, India | [b] Department of Applied Sciences, Haldia Institute of Technology, Haldia Purba Midna Pur-721657, West Bengal, India
Correspondence:
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Corresponding author. Dipak Kumar Jana, Department of Applied Sciences, Haldia Institute of Technology, Haldia Purba Midna Pur-721657, West Bengal, India. Tel.: +91 9474056163; E-mail: dipakjana@gmail.com.
Abstract: In this paper, a fixed charge multi-objective solid transportation problem (MOSTP) is formulated and solved. Here, unit transportation costs, fixed charge cost, resources, demands, and capacities of conveyances are considered as random fuzzy in nature. The MOSTP is formulated as a decision making model optimizing possibilistic value at risk by incorporating the concept of value at risk (VaR) into possibility and necessity measure theories. The reduced deterministic constrained problem is solved using generalized reduced gradient (GRG) method (LINGO-14.0). The model is illustrated with numerical examples and some sensitivity analysis.
