Two Server Queueing System One with Working Vacation and Failure

Abstract

In this paper we modeled the system as a Markovian two heterogeneous servers in a queueing system, with Server-1 being completely dependable.  Whenever the system, server-1, lacks any users, remains idle and gets ready to serve the arriving new customers.  But Server-2 switches over to the working Vacation (WV) mode.  Failures occur only when Server-2 is operational. We obtained some performance measures.