This paper reports a study on a single server queue with bulk arrival and bulk service patterns wherein the incoming traffic depends on the state of the server which may be in operating or breakdown state. The repair of the breakdown server is performed in two phases. The operating duration of server, repair duration of both phases of repairing as well as job's inter-arrival times and service t...

The present investigation deals with the bulk arrival M/G/1 retrial queue with impatient customers and modified vacation policy. The incoming customers join the virtual pool of customers called orbit if they find the server being busy, on vacation or in broken down state otherwise the service of the customer at the head of the batch is started by the server. The service is provided in k</em...

 In this paper, a bulk queueing system with multiple vacations under a restricted admissibility policy of arriving batches is considered. Arrivals occur in bulk according to Poisson process. But all the arrivals are not considered for service. During the busy period of the server, the arrivals are admitted with probability ‘ ’, whereas, with probability ‘  ’, they are admitted when the serve...

This paper studies two stochastic bulk arrivals and bulk services PH/PH/1 queue Models (A) and (B) with k_(1 ) and k_2 as the number of phases of PH arrival and PH service distributions respectively. The system has infinite storing capacity and the arrival and service sizes are finite valued random variables. Matrix partitioning method is used to study the models. In Model (A) the maximum of th...

In this paper, we investigate a single-server Poisson input queueing model, wherein arrivals of units are in bulk. The arrival rate of the units is state dependent, and service time is arbitrary distributed. It is also assumed that the system is subject to breakdown, and the failed server immediately joins the repair facility which takes constant duration to repair the server. By using suppl...