Heterogeneous Arrival and Departure M/M/1 Queue with Vacation and Service Breakdown

Abstract

This paper deals with the study of M/M/1 queue with heterogeneous arrival and departure with the provision of server vacations and breakdowns. Customer arrive service facilities with poison process and exponential service time distribution. In this paper we find the mean queue length, mean waiting time in queue and system, average number of customers in the system. The generating function method is used to find these measures of performance. The numerical results are obtained to cite the applicability of model in the real life situations.
Key words: Heterogeneous; Generating function; Vacation; Breakdown; Repair