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We investigate the steady state behavior of an M/G/1 queue with modied Bernoulli schedule server vacations. Batches of variable size arrive at the system according to a compound Poisson process. However, all arriving batches are not allowed into the system. The restriction policy diers when the server is available in the system and when he is on vacation. We obtain in closed form, the steady state probability generating functions for the number of customers in the queue for various states of the server, the average number of customers as well as their average waiting time in the queue and the system. Many special cases of interest including complete admissibility, partial admissibility and no server vacations have been discusssed. Some known results are derived as particular cases of our model. Mathematics Subject Classication. 60k25.

Restricted Admissibility of Batches into anM/G/1 Type Bulk Queue with Modified Bernoulli Schedule Server Vacations