2014•FigshareOpen access

Fuzzy Eoq Model for Time-Dependent Deteriorating Items And Time-Dependent Demand with Shortages

Iosr Journals, Sumana Saha1, Tripti Chakrabarti

Abstract

In this paper, We discuss a fuzzy EOQ model for time-dependent deteriorating items and time- dependent demand with shortages. We consider here an EOQ model in which inventory is depleted not only by demand, but also by deterioration. This paper deals with infinite time horizon fuzzy Economic Order Quantity (EOQ) models for weibull deteriorating items with time dependent exponential demand rate. We have taken deterioration parameter �⁄ 0 as a triangular fuzzy number�:�⁄ 0F�‹ 1,�⁄ 0 ,�⁄ 0 +�¤ 2�; , where 0 < �‹ 1,�‹ 2 <�⁄ 0 are fixed real numbers. The traditional parameters such as unit cost ,ordering cost and holding cost have been kept constant. The approximate optimal solution for the fuzzy profit functions have been obtained and numerical example is provided to illustrate the solution procedure for the developed fuzzy EOQ model. Finally, Sensitivity of the optimal solution to changes in the values of some key parameters is also studied.

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Key concepts: Economic order quantity, Economic shortage, Weibull distribution, Holding cost, Mathematics, Fuzzy logic, Time horizon, Profit (economics)