Asian Journal of Research in Social Sciences and Humanities
Year : 2016, Volume : 6, Issue : 10
First page : ( 2010) Last page : ( 2029)
Online ISSN : 2249-7315.
Article DOI : 10.5958/2249-7315.2016.01149.7

Two Commodity Perishable Inventory System with Postponed Demands and a Finite Population

Kumar P. Senthil

Department of Mathematics, RVS Technical Campus, Coimbatore, India

Online published on 14 October, 2016.

Abstract

In this article, we consider a continuous review two commodity perishable inventory system with a finite number of homogeneous sources generating demands. The maximum storage capacity for the commodity-i is S_i(i = 1, 2). The life time of each item is assumed to have an exponential distribution. We adopt a joint reordering policy for placing orders and the lead time for the delivery of orders is assumed to have an exponential distribution. An arriving customer gets either commodity-1 or commodity-2 according to a Bernoulli trial. We assume that demands for commodity-_i(i = 1, 2) that occur during the stock out period either enter a place called pool-_i(i = 1, 2) or leave the system which is according to a Bernoulli trial. The demands in the pool-_i(i = 1, 2) are selected one by one, while the stock is above the level S_i(i = 1, 2), with interval time between any two successive selections is distributed as exponential. The joint probability distribution of the number of customers in the pool and the inventory level is obtained in the steady state case. Some measures of the system performance in the steady state are derived and some numerical illustrations are provided.

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