The Expected Value Model of the Fuzzy Economic Production Quantity Based on Credibility Measure

Abstract

Based on the credibility theory, this paper presents the expected value model of the fuzzy economic production quantity problem without shortage. In the model above, assuming the production preparation cost and holding cost per unit be fuzzy variable, we have gained many results about the optimal inventory strategy to the problem. Furthermore, if the fuzzy parameters are some special fuzzy variable such as triangular, trapezoidal and normal fuzzy variable, we have investigated the optima strategy of the economic production quantity problem. The results obtained in this paper can provide theoretical foundation for designing algorithm to solve the fuzzy inventory problem.