Stochastic models in queueing theory
Stochastic models in queueing theory
A fluid queue driven by a Markovian queue
Queueing Systems: Theory and Applications
On the batch arrival batch service queue with finite buffer under server's vacation: MX/GY/1/N queue
Computers & Mathematics with Applications
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In this article we analyze the MX/GY/1/K+B bulk queue. For this model, we consider three rejection policies: partial acceptance, complete rejection, and complete acceptance. For each of these policies, we are interested in the loss probability for an arriving group of customers and for individual customers within a group. To obtain these loss probabilities, we derive a numerically stable method to compute the limiting probabilities of the queue length process under all three rejection policies. At the end of the article we demonstrate our method by means of a numerical example.