A retrial queueing-inventory system with service option on arrival and Multiple vacations

Abstract

New models of a retrial queueing inventory system with finite buffer and two types of services (say, Type-1 and Type-2) are proposed. Here we discuss a type 1 service, in which a customer enters in the system and receives the service only. In the type-2 service, a customer gets the service and the level of inventory is reduced to one (demand an item). Some important system performance measures in the steady state are derived and long-run total expected cost rate of the proposed model is developed. The results of the numerical examples are shown .

Keywords: Continuous review inventory system, Positive lead time, Retrial customers, Multiple vacations, Two types of service and Impatient customers

AMS 2010 Mathematics Subject Classification Objects: 90B05, 60J27