BULK INPUT QUEUES WITH QUORUM AND MULTIPLE VACATIONS

The authors study a single-server queueing system with bulk arrivals a nd batch service in accordance to the general quorum discipline: a bat ch taken for service is not less than r and not greater than R (greate r than or equal to r). The server takes vacations each time the queue level falls below r (greater than or equal to 1) in accordance with th e multiple vacation discipline. The input to the system is assumed to be a compound Poisson process. The analysis of the system is based on the theory of first excess processes developed by the first author. A preliminary analysis of such processes enabled the authors to obtain a ll major characteristics for the queueing process in an analytically t ractable form. Some examples and applications are given.