Fuzzy EPQ model with ramp type demand, linear deterioration and shortage using trapezoidal fuzzy number and signed distance method Online publication date: Mon, 22-May-2017
by Nirmal Kumar Duari; Tripti Chakrabarti
International Journal of Fuzzy Computation and Modelling (IJFCM), Vol. 2, No. 2, 2017
Abstract: In the present paper, an inventory production model with Ramp type demand linear deterioration and shortages has been considered in a fuzzy environment. Our goal is to determine the optimal total cost and the optimal order quantity for the proposed inventory model. The trapezoidal fuzzy numbers have been introduced in order to achieve this goal. The computation of economic production quantity (EPQ) is carried out through defuzzification process by using signed distance method. The signed distance method is more applicable than the other methods of defuzzification. To illustrate the results of the proposed model, we have given an example for both crisp and fuzzy environment and presented the computational results. Sensitivity for this model is also studied, which shows a relation between demand, order quantity and total cost. The advantage of the proposed approach is that it is simple, gives a better result in relatively less computational work.
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