Analysis of variant working vacations on batch arrival queues View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-06

AUTHORS

P. Vijaya Laxmi, P. Rajesh

ABSTRACT

This paper analyzes a batch arrival infinite-buffer single server queueing system with variant working vacations in which customers arrive according to a Poisson process. As soon as the system becomes empty, the server takes working vacation. The service rate during regular busy period, working vacation period and vacation times are assumed to be exponentially distributed. We derive the probability generating function of the steady-state probabilities and obtain the closed form expressions of the system size when the server is in different states. In addition, we obtain some other performance measures and discuss their monotonicity and a cost model is formulated to determine the optimal service rate during working vacation. More... »

PAGES

303-316

Journal

TITLE

OPSEARCH

ISSUE

2

VOLUME

53

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s12597-015-0236-3

DOI

http://dx.doi.org/10.1007/s12597-015-0236-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1019726141


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