| Abstract: | The paper studies a queueing system with bulk arrivals and bulk departures wherein the service channel is subject to random failures and the repairs are performed in two phases. Units wait until both phases of repairs of the service channel are complete. The probability generating functions of the queue length have been obtained for the various states of the system and the corresponding results for the steady state have been derived. Two particular cases have been discussed and the mean queue length has been obtained explicitly. Finally depenedence of the mean queue length on failure and repair parameters have been shown graphically. |
