Markov Models of Inventory Management Systems with a Positive Service Time
- 作者: Melikov A.1, Shahmaliyev M.1
-
隶属关系:
- Institute of Control Systems
- 期: 卷 57, 编号 5 (2018)
- 页面: 766-783
- 栏目: Systems Analysis and Operations Research
- URL: https://journals.rcsi.science/1064-2307/article/view/220214
- DOI: https://doi.org/10.1134/S106423071805009X
- ID: 220214
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详细
Markov models of perishable inventory systems where some customers are withdrawn after completion of the service without buying the stock are studied. It is assumed that the service time and filling supply orders are positive random variables. The inventory replenishment size is a variable and depends on the current inventory level. Exact and approximate methods for calculating the joint distribution of the inventory level and the number of orders in the system are developed. Formulas for calculating the main characteristics of the studied systems are proposed and the problem of their optimization is solved. The high level of accuracy of the proposed formulas is confirmed by the numerical experiments.
作者简介
A. Melikov
Institute of Control Systems
编辑信件的主要联系方式.
Email: agassi.melikov@gmail.com
阿塞拜疆, Baku
M. Shahmaliyev
Institute of Control Systems
Email: agassi.melikov@gmail.com
阿塞拜疆, Baku
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