Abstract
Abstract
This article studies a perishable inventory system with a production unit. The production process is governed by (s, S) policy and it is exponentially distributed. The primary arrival follows Markovian arrival process(MAP) and the service time is phase-type distributed random variable. The inventoried items are subject to decay exponentially with a linear rate. A newly arriving customer realizes that system is running out of stock or server busy either moves to infinite waiting space with a pre-assigned probability or exit system with complementary probability. Customers in the waiting space make retrials to access the free server at a linear rate. If the system is running out of stock or the server is busy upon retrial, customers go back to orbit with different pre-defined probabilities according to the level of inventory or exit the system with corresponding complementary probabilities. The system is analysed using Matrix Analytic Method(MAM) and the findings are numerically illustrated.
Subject
General Physics and Astronomy