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Fuzzy inventory policy for perishable products with stock level dependent demand, constant holding cost and constant lead time

Sandeep Kumar, Birjesh Sharma, Rajesh Tripathi, Mukesh Kumar

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Abstract

In present study, a fuzzy inventory model is elaborated for perishable items with stock-level dependent demand and constant lead time. Fuzziness is considered by permitting the cost components (ordering cost, holding cost, shortage cost, etc.), deterioration and rate of demand. The items are deceased with lead time in the system. A triangular fuzzy number is applied to find the concern costs like ordering cost, holding cost, decaying cost and shortage cost. During the lead time period the shortages are permitted and fully backlogged. The aim of this study is to minimize the function of total cost in fuzzy environment. In order to check the relevancy of the present study, numerical example is provided. A method of graded mean representation is used to obtain the EOQ from the fuzzy results. The applications of the model are verified with the help of a numerical example.

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What this paper is about

In present study, a fuzzy inventory model is elaborated for perishable items with stock-level dependent demand and constant lead time. Fuzziness is considered by permitting the cost components (ordering cost, holding cost, shortage cost, etc.), deterioration and rate of demand. The items are deceased with lead time in the system. A triangular fuzzy number is applied to find the concern costs like ordering cost, holding cost, decaying cost and shortage cost. During the lead time period the shortages are permitted and fully backlogged. The aim of this study is to minimize the function of total cost in fuzzy environment. In order to check the relevancy of the present study, numerical example is provided. A method of graded mean representation is used to obtain the EOQ from the fuzzy results. The applications of the model are verified with the help of a numerical example.

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Available abstract

In present study, a fuzzy inventory model is elaborated for perishable items with stock-level dependent demand and constant lead time. Fuzziness is considered by permitting the cost components (ordering cost, holding cost, shortage cost, etc.), deterioration and rate of demand. The items are deceased with lead time in the system. A triangular fuzzy number is applied to find the concern costs like ordering cost, holding cost, decaying cost and shortage cost. During the lead time period the shortages are permitted and fully backlogged. The aim of this study is to minimize the function of total cost in fuzzy environment. In order to check the relevancy of the present study, numerical example is provided. A method of graded mean representation is used to obtain the EOQ from the fuzzy results. The applications of the model are verified with the help of a numerical example.

Key concepts: Holding cost, Lead time, Economic shortage, Economic order quantity, Inventory cost, Fuzzy logic, Total cost, Constant (computer programming)

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