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Analyzing discrete-time bulk-service Geo/Geob/m queue

Published online by Cambridge University Press:  08 November 2006

Veena Goswami ,
Umesh C. Gupta  and
Sujit K. Samanta
Veena Goswami
Affiliation:
Department of Computer Science, Kalinga Institute of Industrial Technology, Bhubaneswar-751024, India; veena_goswami@yahoo.com
Umesh C. Gupta
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, India; umesh@maths.iitkgp.ernet.in; sujit.samanta@rediffmail.com
Sujit K. Samanta
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, India; umesh@maths.iitkgp.ernet.in; sujit.samanta@rediffmail.com
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Abstract

This paper analyzes adiscrete-time multi-server queue in which service capacity of eachserver is a minimum of one and a maximum of b customers. Theinterarrival- and service-times are assumed to be independent andgeometrically distributed. The queue is analyzed under theassumptions of early arrival system and late arrival system withdelayed access. Besides, obtaining state probabilities atarbitrary and outside observer's observation epochs, someperformance measures and waiting-time distribution in the queuehave also been discussed. Finally, it is shown that in limitingcase the results obtained in thispaper tend to the continuous-time counterpart.

Keywords

Bulk-servicediscrete-timemulti-serverqueueingwaiting-time.
Type
Research Article
Information
RAIRO - Operations Research , Volume 40 , Issue 3 , July 2006 , pp. 267 - 284
Copyright
© EDP Sciences, 2006

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