This paper studies the production manager’s preference for economic production quantity of his single item inventory to avoid the escalating prices of the different cost like setup cost, holding costs and ordering costs. We also introduce a fuzzy inventory model under safety stock based on fuzzy total annual safety stock cost and annual holding cost of safety stock out and fuzzy total stock out cost. We apply the function principle and Graded Mean Integration representation method for computing the optimal production quantity and fuzzy total annual inventory cost. A numerical example is illustrated to derive the optimal solutions for fuzzy annual costs for both regular and safety stock model.
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