On the number of refusals in a busy period

Authors
Pekoz, EA
Citation
Ea. Pekoz, On the number of refusals in a busy period, PROB ENG I, 13(1), 1999, pp. 71-74
Citations number
1
Categorie Soggetti
Engineering Mathematics
Journal title
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES
ISSN journal
02699648 → ACNP
Volume
13
Issue
1
Year of publication
1999
Pages
71 - 74
Database
ISI
SICI code
0269-9648(1999)13:1<71:OTNORI>2.0.ZU;2-G
Abstract
Formulas are derived for moments of the number of refused customers in a bu sy period for the M/GI/1/n and the GI/M/1/n queueing systems. As an interes ting special case for the M/GI/1/n system, we note that the mean number is 1 when the mean interarrival time equals the mean service time. This provid es a more direct argument for a result given in Abramov [1].