• A MULTI-SERVER INFINITE CAPACITY MARKOVIAN FEEDBACK QUEUE WITH BALKING, RENEGING AND RETENTION OF RENEGED CUSTOMERS

Abstract

We consider a multi-server infinite capacity Markovian feedback queue with reneging, balking and retention of reneged customers in which the inter-arrival and service times follow exponential distribution. The reneging times are assumed to be exponentially distributed. After the completion of service, each customer may rejoin the system as a feedback customer for receiving another regular service with a certain probability. A reneged customer can be retained in many cases by employing certain convincing mechanisms to stay in queue for completion of service. Numerical analysis, cost-profit analysis and optimization of the cost function using simulated annealing method are carried out. The steady-state solution of the model is obtained iteratively. Some performance measures are also derived.