Transient Solution of an M/M/2 Queue with Heterogeneous Servers Subject to Catastrophes

摘要

This paper presents a transient solution for the system size in an M/M/2 queue where the service rates of the servers are not identical with the possibility of catastrophes at the system. The time dependent probabilities for the number in the system are obtained. The steady state probabilities of the system size are also provided. Some important performance measures are derived.