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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2015-01-01
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Series: | Advances in Operations Research |
Online Access: | http://dx.doi.org/10.1155/2015/102824 |