Scheduling period inventory model with Weibull deteriorating for crisp and fuzzy

Abstract

Two different cases of the probabilistic scheduling period inventory model for deteriorating items are discussed. The deterioration rate follows the Weibull distribution with two-parameter with varying and constrained expected deteriorating cost, when the demand during any scheduling period is a random variable and without shortage. The first case when the total cost components are considered to be crisp values, and the other case when the costs are considered as trapezoidal fuzzy numbers. Also, some special cases are deduced. To illustrate the proposed model in the crisp case and the fuzzy case, a numerical example was added.