On A Single Server Queueing Inventory System

Khamis Abdullah Khamis AL Maqbali, Varghese C. Joshua, Achyutha Krishnamoorthy
In this paper, we consider a queueing inventory model. Customers arriving to a single server queueing system in which, server uses some commodities from the inventory to ful ll the service. Service of a customer is initiated only when the server is free and the commodities for the service are available in the inventory. Otherwise, the arriving customer joins the queue. The inventory level is managed with ( s,S) policy. Lead time is assumed to be positive. Steady state analysis of the model is performed. Various performance measures are estimated.