Study of markovian queueing model with F-policy, impatience customers, feedback and re-service, server vacation and breakdown

Abstract A system with two heterogeneous servers with impatient customers and finite capacity is considered. The admission control of customers is based on F-policy. This paper is based on M/M/2 queues, and presents the study of two heterogeneous servers where one server is the primary server and other is secondary. Customers are primarily served by the main server, who also takes customer's feedback into account. If customers are unsatisfied and opt for further service, the second server will serve them. The main server considered is unreliable, that is, it may breakdown at any time. The main server will go for vacation whenever there is no customer to serve. To analyze the performance of the model, we calculated the measures of performance and did the cost analysis. Impact of F-policy on system's estimated profit is shown. At last, conclusions are drawn.