Abstract
In this paper, the performance of an inventory model is explored with deteriorating items under imprecision environment where the demand follows a three-parameter Weibull distribution. Deterioration and holding cost is considered as a linear function of time. Fuzziness has been allowed to deal with imprecision. Mathematical observations of both crisp and fuzzy models have been illustrated to determine the optimal cycle time and optimal inventory cost. The demand distribution, deterioration rate and all costs of models are expressed as triangular, trapezoidal and pentagonal fuzzy numbers. Graded mean integration method is used for defuzzification. Numerical illustrations are provided to validate the applications of the model. Sensitivity analysis with useful graphs and tables are performed to analyze the variability in the optimal solution with respect to change in various system parameters. KEYWORDS: Weibull Demand, Triangular Fuzzy Number, Trapezoidal Fuzzy Number, Pentagonal Fuzzy Number, Graded Mean Integration MSC: 90B05
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