On the probability that the kth customer finds an M/M/1 queue empty

Authors
Singh, Harshinder Gupta, R. D.
Citation
Singh, Harshinder et D. Gupta, R., On the probability that the kth customer finds an M/M/1 queue empty, Advances in applied probability , 24(1), 1992, pp. 238-239
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
24
Issue
1
Year of publication
1992
Pages
238 - 239
Database
ACNP
SICI code
Abstract
A result relating the probability that kth customer finds the system empty to the distribution of the number of customers served in a busy period, for an M/M/1 queue, has been obtained. This relationship is similar to the relationship between the probability that the queue is empty at time t and the distribution of the length of the busy period.