Cost optimization of single server retrial queueing model with Bernoulli schedule working vacation, vacation interruption and balking

Abstract

In present paper an M/M/1 retrial queueing model with working vacation interruption using Bernoulli schedule and Balking is analyzed under classical retrial policy. When sever is occupied in regular busy period customer enters in system with probability b and during working vacation of server, customer joins the orbit with probability v. Whenever no customers are in the system after vacation completion then either server returns to normal free state with probability q or goes for multiple working vacation with probability 1-q. Server provides the service at lower rate during working vacation than normal busy period. In this paper steady state probabilities have been obtained using probability generating function technique. Some important performance measures of this model are also evaluated numerically and some results are shown graphically using MATLAB software.