Abdeldaim, Hoda and Fergany, Hala and Omar, Azza and Morsy, Yasmien (2020) Probabilistic Inventory Model with Lead Time Equals Single Scheduling Period and Varying Deteriorating Cost under Constraint. Al-Azhar Bulletin of Science, 31 (2). pp. 1-15. ISSN 2636-3305
ABSB_Volume 31_Issue Issue 2-B_Pages 1-15.pdf - Published Version
Download (910kB)
Abstract
In this paper inventory model of declining goods with ambiguous and imprecise details about available storage has been established. Here, our targets are: 1- the optimal scheduling period, 2- the optimal order-level, 3- minimize the wastage cost due to the deterioration, 4- minimize the expected average total cost under a restriction on the expected average varying deteriorating cost by using the Lagrange method. This model, is developed for continuously deterioration rate is constant or follows a two-parameter Weibull distribution with varying and constrained expected deteriorating cost, Where the lead time is only one period of time, without shortage and when demand is a random variable during any scheduling time. These probabilistic models are studied in two cases: crisp numbers and trapezoidal fuzzy numbers. Some special cases are deduced. There is a numerical illustration to illustrate the proposed model in the crisp case and the fuzzy case and the sensitivity analysis is performed.
Item Type: | Article |
---|---|
Subjects: | Open Archive Press > Medical Science |
Depositing User: | Unnamed user with email support@openarchivepress.com |
Date Deposited: | 17 Jul 2023 05:26 |
Last Modified: | 22 Mar 2024 04:29 |
URI: | http://library.2pressrelease.co.in/id/eprint/1786 |