Markov Models of Inventory Management Systems with a Positive Service Time
- Авторлар: Melikov A.1, Shahmaliyev M.1
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Мекемелер:
- Institute of Control Systems
- Шығарылым: Том 57, № 5 (2018)
- Беттер: 766-783
- Бөлім: Systems Analysis and Operations Research
- URL: https://journals.rcsi.science/1064-2307/article/view/220214
- DOI: https://doi.org/10.1134/S106423071805009X
- ID: 220214
Дәйексөз келтіру
Аннотация
Markov models of perishable inventory systems where some customers are withdrawn after completion of the service without buying the stock are studied.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.
Авторлар туралы
A. Melikov
Institute of Control Systems
Хат алмасуға жауапты Автор.
Email: agassi.melikov@gmail.com
Әзірбайжан, Baku
M. Shahmaliyev
Institute of Control Systems
Email: agassi.melikov@gmail.com
Әзірбайжан, Baku
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