Analysis of finite-buffer multi-server queues with group arrivals: GI(X)/M/c/N

Citation
Pv. Laxmi et Uc. Gupta, Analysis of finite-buffer multi-server queues with group arrivals: GI(X)/M/c/N, QUEUEING S, 36(1-3), 2000, pp. 125-140
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
QUEUEING SYSTEMS
ISSN journal
02570130 → ACNP
Volume
36
Issue
1-3
Year of publication
2000
Pages
125 - 140
Database
ISI
SICI code
0257-0130(2000)36:1-3<125:AOFMQW>2.0.ZU;2-4
Abstract
In this paper, we analyse a multi-server queue with bulk arrivals and finit e-buffer space. The interarrival and service times are arbitrarily and expo nentially distributed, respectively. The model is discussed with partial an d total batch rejections and the distributions of the numbers of customers in the system at prearrival and arbitrary epochs are obtained. In addition, blocking probabilities and waiting time analyses of the first, an arbitrar y and the last customer of a batch are discussed. Finally, some numerical r esults are presented.