Title: Scheduling period inventory model with Weibull deteriorating for crisp and fuzzy

Authors: H.A. Fergany; O.A. Gawdt; Y.Y. Morsy

Addresses: Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt; Statistics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia ' Alexandria Higher Institute of Engineering and Technology, Dr. Mohamed Abu El-Fotooh Hassab St., Off Victor Emmanuel The 3rd Ave., Smouha-Alexandria 21311, Egypt ' Faculty of Science Girls, Al-Azhar University, Cairo, Egypt

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.

Keywords: deterioration; probabilistic demand rate; scheduling period; trapezoidal fuzzy numbers; Weibull distribution.

DOI: 10.1504/IJIR.2021.113828

International Journal of Inventory Research, 2021 Vol.6 No.1, pp.47 - 66

Received: 19 Jul 2019
Accepted: 11 May 2020

Published online: 12 Mar 2021 *

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