International Journal of Applied and Computational Mathematics | 2019
A Stochastic Inventory Model with Two Queues and a Flexible Server
Abstract
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.