Modelling and analysis of M/G(a,b)/1/N queue - A simple alternative approach

Authors
Chaudhry, ML Gupta, UC
Citation
Ml. Chaudhry et Uc. Gupta, Modelling and analysis of M/G(a,b)/1/N queue - A simple alternative approach, QUEUEING S, 31(1-2), 1999, pp. 95-100
Citations number
3
Categorie Soggetti
Engineering Mathematics
Journal title
QUEUEING SYSTEMS
ISSN journal
02570130 → ACNP
Volume
31
Issue
1-2
Year of publication
1999
Pages
95 - 100
Database
ISI
SICI code
0257-0130(1999)31:1-2<95:MAAOMQ>2.0.ZU;2-1
Abstract
In this paper, we consider a single-server finite-capacity queue with gener al bulk service rule where customers arrive according to a Poisson process and service times of the batches are arbitrarily distributed. The queue is analyzed using both the supplementary variable and imbedded Markov chain te chniques. The relations between state probabilities at departure and arbitr ary epochs have been presented in explicit forms.