ON TWO PARALLEL SERVERS WITH RANDOM BREAKDOWNS

We study a queueing system with two parallel servers subject to random breakdowns. The arrivals are assumed to be Poisson, one by one, and the service times of the two channels are identical exponential. Either channel can fail any time, independently of the other and either channel may fail not only while it is working but it may even fail also when it is idle. The system possesses two independent repair facilities, one for each channel. The failure times as well as the repair times of the service channels are identical exponential. We obtain time-dependent results in terms of the system size distribution as well as the probabilities for various states of the servers. Corresponding steady state results are derived and a particular case is discussed.