 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...

The paper deals with an M/M/2 Queueing Model working vacations and reneging of customers due to impatience. matrix geometric method is used find the distribution number in system. A cost function constructed obtain optimal value service rate optimize (minimize) using Quadratic Fit Search Method (QFSM). Further, effects on system's performance measures numerical analysis graphical representation...

We derive the performance measures for non-priority customers in a priority single-server queue with two types of Markovian arrival processes (MAPs). One type of customers has preemptive resume (or repeat) priority over the other. We regard the model with two types of MAP arrivals as an MAP/SM/l queue with only non-priority customers arrivals, semi-Markovian service times and some server vacati...

Single-server queues in which the server takes vacations arise naturally as models for a wide range of computer, communication and production systems. In almost all studies on vacation models, the vacation lengths are assumed to be independent of the arrival, service, workload and queue length processes. In the present study we allow the length of a vacation to depend on the length of the previ...

Abstract—This study considers the M/M/1/N queue with working breakdowns and server vacations. We assume that the arrivals occur according to a Poisson process. The server is subject to breakdowns and repairs while in operation. At failure times, the server still works at a lower service rate rather than completely stopping service. When there are no customers in the system, the server takes mul...

In this paper, it is studied about finite buffer bulk service queue M/G (a,b) /1 with multiple vacations and some analytical results, relations among queue length distributions, computations of state probabilities at various epochs are included.