Controllable Multi - Server Queue with Balking (TECHNICAL NOTE)

This investigation proposes Markov chain analysis of controllable multi-server queue with balking. We incorporate an additional server which is added and removed at pre-specified threshold levels of queue size to control the balking behaviour of the customers. The steady state equations are constructed by assuming interdependent arrival and service processes which are characterized by bivariate Poisson distribution. Recursive approach is employed to establish the queue size distribution, which is further used to determine various performance indices.