Busy periods of Poisson arrival queues with loss

Authors
Kim, S Bae, J Lee, EY
Citation
S. Kim et al., Busy periods of Poisson arrival queues with loss, QUEUEING S, 39(2-3), 2001, pp. 201-212
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
QUEUEING SYSTEMS
ISSN journal
02570130 → ACNP
Volume
39
Issue
2-3
Year of publication
2001
Pages
201 - 212
Database
ISI
SICI code
0257-0130(2001)39:2-3<201:BPOPAQ>2.0.ZU;2-I
Abstract
We consider two queues with loss, one is the finite dam with Poisson arriva ls and the other is the M/G/1 queue with impatient customers. We use the me thod of Kolmogorov's backward differential equation and construct a type of renewal equation to obtain the Laplace transform of busy(or wet) period in both queues. As a consequence, we provide the explicit forms of expected b usy periods.