2016•Pakistan Journal of Statistics and Operation ResearchOpen access

Fuzzy inventory model for deteriorating items, with time depended demand, shortages, and fully backlogging

Wasim Akram Mandal, Sahidul Islam

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Abstract

In this paper analyzes fuzzy inventory system for deterioration item with time depended demand. Shortages are allowed under fully backlogged. Fixed cost, deterioration cost, shortages cost, holding cost are the cost considered in this model. Fuzziness is applying by allowing the cost components (holding cost, deterioration, shortage cost, holding cost, etc). In fuzzy environment it considered all required parameter to be triangular fuzzy numbers. One numerical solution of the model is obtained to verify optimal solution. The purpose of the model is to minimize total cost function.

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In this paper analyzes fuzzy inventory system for deterioration item with time depended demand. Shortages are allowed under fully backlogged. Fixed cost, deterioration cost, shortages cost, holding cost are the cost considered in this model. Fuzziness is applying by allowing the cost components (holding cost, deterioration, shortage cost, holding cost, etc). In fuzzy environment it considered all required parameter to be triangular fuzzy numbers. One numerical solution of the model is obtained to verify optimal solution. The purpose of the model is to minimize total cost function.

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Available abstract

In this paper analyzes fuzzy inventory system for deterioration item with time depended demand. Shortages are allowed under fully backlogged. Fixed cost, deterioration cost, shortages cost, holding cost are the cost considered in this model. Fuzziness is applying by allowing the cost components (holding cost, deterioration, shortage cost, holding cost, etc). In fuzzy environment it considered all required parameter to be triangular fuzzy numbers. One numerical solution of the model is obtained to verify optimal solution. The purpose of the model is to minimize total cost function.

Key concepts: Economic shortage, Holding cost, Total cost, Fuzzy logic, Inventory cost, Mathematics, Fuzzy number, Mathematical optimization

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