Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service

Authors

Anjan Banerjee, Indian Institute of TechnologyFollow
Umesh Chandra Gupta, Indian Institute of TechnologyFollow
Srinivas R. Chakravarthy, Kettering UniversityFollow

Document Type

Article

Publication Date

8-1-2015

Publication Title

Computers & Operations Research

Abstract

We consider a finite capacity single server queue in which the customers arrive according to a Markovian arrival process. The customers are served in batches following a ‘general bulk service rule’. The service times, which depend on the size of the batch, are generally distributed. We obtain, in steady-state, the joint distribution of the random variables of interest at various epochs. Efficient computational procedures in the case of phase type services are presented. An illustrative numerical example to bring out the qualitative nature of the model is presented.

Volume

60

First Page

138

Last Page

149

DOI

10.1016/j.cor.2015.02.012

ISSN

0305-0548

Rights

© 2015 Elsevier Ltd. All rights reserved

Recommended Citation

Banerjee, Anjan; Gupta, Umesh Chandra; and Chakravarthy, Srinivas R., "Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service" (2015). Industrial & Manufacturing Engineering Publications. 68.
https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/68