ANALYSIS OF CUSTOMER INDUCED INTERRUPTION IN A MULTI SERVER SYSTEM

摘要

We study a multi-server queueing system with customer induced interruption of service to which customers arrive according to Poisson process and service time follows an exponential distribution. The customer induced interruption occurs according to Poisson process and the interruption duration follows an exponential distribution. The self-interrupted customer will enter into a buffer of finite capacity. Any self-interrupted customer, finding the buffer full, is considered lost for ever. Those self-interrupted customers who complete their interruption will be placed into another buffer of same size. The self-interrupted customers waiting for service are given non-preemptive priority over new customers. We investigate the behavior of this queueing system. Several performance measure are evaluated. Numerical illustrations of the system behavior are also provided. Optimization problem to maximize the revenue with respect to number of servers to be employed and optimal buffer size for the self-interrupted customers are discussed through two illustrative examples.