On Stochastic Decomposition in M/G/1 Type Queues with Generalized Server Vacations

Queues with a finite population of customers and occasional periods called vacations when the server is unavailable appear in many engineering systems, but have not been studied. In this paper, we specifically consider an M/G/1//N queueing system in ...

We propose a simple way, called the arrival time approach, of finding the queue length distributions for M/G/1-type queues with generalized server vacations. The proposed approach serves as a useful alternative to understanding complicated queueing ...

In this paper, we consider a discrete-time single-server finite-buffer batch arrival queue in which customers are served in batches according to a general bulk-service rule, that is, at least 'a' customers are needed to start a service with a maximum ...