On the finite-buffer bulk-service queue with general independent arrivals:GI/M([b]/)1/N

Authors
Laxmi, PV Gupta, UC
Citation
Pv. Laxmi et Uc. Gupta, On the finite-buffer bulk-service queue with general independent arrivals:GI/M([b]/)1/N, OPER RES L, 25(5), 1999, pp. 241-245
Citations number
7
Categorie Soggetti
Engineering Mathematics
Journal title
OPERATIONS RESEARCH LETTERS
ISSN journal
01676377 → ACNP
Volume
25
Issue
5
Year of publication
1999
Pages
241 - 245
Database
ISI
SICI code
0167-6377(199912)25:5<241:OTFBQW>2.0.ZU;2-A
Abstract
We consider a single server finite-buffer bulk-service queue in which the i nterarrival and service times are arbitrarily and exponentially distributed , respectively. The service is performed in batches of maximum size b. The distributions of number of customers in the queue at pre-arrival and arbitr ary epochs have been obtained. In addition, analysis of waiting time in the queue is also carried out. (C) 1999 Elsevier Science B.V. All rights reser ved.