A time-dependent busy period queue length formula for the M/Ek/1 queue

Autor:	Ho Woo Lee, Jung Woo Baek, Seung Ki Moon
Rok vydání:	2014
Předmět:	Statistics and Probability Discrete mathematics M/G/k queue Burke's theorem M/D/1 queue M/G/1 queue M/M/1 queue M/D/c queue M/M/c queue G/G/1 queue Statistics Probability and Uncertainty Mathematics
Zdroj:	Statistics & Probability Letters. 87:98-104
ISSN:	0167-7152
Popis:	In this paper, a closed-form time-dependent busy period queue length probability is obtained for the M / E k / 1 queue. This probability is frequently needed when we compare the length of the busy period and the maximum amount of service that can be rendered to the existing customers. The transient probability is given in terms of the generalized modified Bessel function of the second type of Griffiths et al. (2006a). The queue length probability for the M / M / 1 queue is also presented as a special case.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::539cc0afae9277252690a1e2980567f5 https://doi.org/10.1016/j.spl.2014.01.004 Zobrazit plný text záznamu Full Text from ScienceDirect