A Fuzzy Inventory Model having Exponential Demand with Weibull Distribution for Non-Instantaneous Deterioration, Shortages under Partially Backlogging and Time Dependent Holding Cost
نویسندگان
چکیده
In this paper, we introducea deterministic Economic Order Quantity Inventory Modelwith exponential demand rate, Weibull Distribution for deterioration and time dependent holding cost in crisp and fuzzy environment.Also each cycle Shortages are allowed and partially backlogged to suit present day competition in the market objectives. The backlogging rate is variable and as depends on the length of waiting time for next replacement. The costsare assumed as a Triangular Fuzzy Numbers and Graded Mean Integration Representation Methodis used to defuzzify the model. This Model aids in minimizing the total inventory cost by finding the optimal time interval in different environment. A sensitivity analysis is also given to show that the total cost function is extremely influence by the variation of the costs and other parameters. The model is illustrated with numerical example.
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