Steady State Analysis of an M/M/1 Queue with Coxian-2 Server Vacation and Breakdown

Abstract

This paper deals with an M/M/1 queue which has a coxian-2 server vacations and random breakdowns..Atthe moment of service completion, the serverdecides to go for vacation with probability potherwise continue service in the system with probability 1-p. The vacation phases follow coxian-2 distribution, which hascompulsory first phase and optional second phase. The system suffers random breakdowns with Poisson rate. The flow balance equations corresponding to the model have been derived and closed form expression of system size probability has been generated.