Queue Length and Server Content Distribution in an Infinite-Buffer Batch-Service Queue with Batch-Size-Dependent Service

We analyze an infinite-buffer batch-size-dependent batch-service queue with Poisson arrival and arbitrarily distributed service time. Using supplementary variable technique, we derive a bivariate probability generating function from which the joint distribution of queue and server content at departu...

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Bibliographic Details
Main Authors: U. C. Gupta, S. Pradhan
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Operations Research
Online Access:http://dx.doi.org/10.1155/2015/102824