A Stochastic Inventory Model with Two Queues and a Flexible Server

被引：0
|
作者：
Jeganathan K. [1 ]
Melikov A.Z. [2 ]
Padmasekaran S. [3 ]
Kingsly S.J. [4 ]
Lakshmi K.P. [5 ]
机构：
[1] Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai
[2] Institute of Control Systems, National Academy of Sciences, Baku
[3] Department of Mathematics, Periyar University, Salem
[4] Department of Mathematics, Adhiyamaan College of Engineering, Hosur
[5] Department of Mathematics with Computer Applications, Ethiraj College for Women, Chennai
来源：
International Journal of Applied and Computational Mathematics | 2019年 / 5卷 / 1期
关键词：
(s; Q); policy; Additional service; Balking and multiple vacations; Continuous review; Flexible server; Heterogeneous servers; Perishable commodity;
D O I：
10.1007/s40819-019-0605-3
中图分类号：
学科分类号：
摘要：
This paper focusses on a perishable inventory model with two stations, namely, station 1 and station 2 with two dedicated servers and one flexible server, where service rates are different with respect to stations and servers. By using matrix analysis method, the joint stationary distribution of the number of customers in station 1 and station 2, the status of the servers and the inventory level under steady state are investigated. Some significant measures of the system performance are obtained. Finally, some intrinsic numerical examples are given. © 2019, Springer Nature India Private Limited.
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