The Relations among the queue Size Distributions at Departure, Arbitrary and Pre-arrival Epochs in the MAP/G/1 Queue With Finite/infinite Buffer ... View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2001-10

AUTHORS

U. C. Gupta, P. Vijaya Laxmi

ABSTRACT

In this paper we consider a single server finite buffer queue wherein arrivals are governed by Markovian arrival process (MAP) and the service times are arbitrarily distributed. Using the supplementary variable method, the relations among the limiting queue size distributions at post-departure, arbitrary and pre-arrival epochs are obtained. Furthermore, similar results have also been derived for the infinite buffer queue. These relations are consistent with the known results and the method of derivation is simple and elegant. More... »

PAGES

520-530

Journal

TITLE

OPSEARCH

ISSUE

5

VOLUME

38

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf03398655

DOI

http://dx.doi.org/10.1007/bf03398655

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1099703447


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