Probabilistic Inventory Model with Lead Time Equals Single Scheduling Period and Varying Deteriorating Cost under Constraint
Abdeldaim, H., Fergany, H., Omar, A., Morsy, Y. (2020). Probabilistic Inventory Model with Lead Time Equals Single Scheduling Period and Varying Deteriorating Cost under Constraint. EKB Journal Management System, 31(Issue 2-B), 1-15. doi: 10.21608/absb.2020.41932.1083
Hoda Abdeldaim; Hala Fergany; Azza Omar; Yasmien Morsy. "Probabilistic Inventory Model with Lead Time Equals Single Scheduling Period and Varying Deteriorating Cost under Constraint". EKB Journal Management System, 31, Issue 2-B, 2020, 1-15. doi: 10.21608/absb.2020.41932.1083
Abdeldaim, H., Fergany, H., Omar, A., Morsy, Y. (2020). 'Probabilistic Inventory Model with Lead Time Equals Single Scheduling Period and Varying Deteriorating Cost under Constraint', EKB Journal Management System, 31(Issue 2-B), pp. 1-15. doi: 10.21608/absb.2020.41932.1083
Abdeldaim, H., Fergany, H., Omar, A., Morsy, Y. Probabilistic Inventory Model with Lead Time Equals Single Scheduling Period and Varying Deteriorating Cost under Constraint. EKB Journal Management System, 2020; 31(Issue 2-B): 1-15. doi: 10.21608/absb.2020.41932.1083

Probabilistic Inventory Model with Lead Time Equals Single Scheduling Period and Varying Deteriorating Cost under Constraint

Al-Azhar Bulletin of Science
Article 1, Volume 31, Issue 2-B, December 2020, Page 1-15  XML PDF (889.64 K)
Document Type: Original Article
DOI: 10.21608/absb.2020.41932.1083
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Authors
Hoda Abdeldaim1; Hala Fergany2, 3; Azza Omar1; Yasmien Morsy email 1
1Mathematics Department, Faculty of Science, Al-Azhar University (Girls campus).
2Statistic Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
3Mathematics Department, Faculty of Science, Tanta University.
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.
Keywords
Deterioration; Probabilistic demand rate; Scheduling period; Varying cost; Weibull distribution
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