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A Law of the Iterated Logarithm for the Sojourn Time Process in Queues in Series

Content Provider	Springer Nature Link
Author	Minkevičius, Saulius Dolgopolovas, Vladimiras Sakalauskas, Leonidas L.
Copyright Year	2014
Abstract	The object of this research in the sphere of queueing theory is the law of the iterated logarithm under the conditions of heavy traffic in queues in series. In this paper, the laws of the iterated logarithm are proved for the values of important probabilistic characteristics of the queueing system, like the sojourn time of a customer, and maximum of the sojourn time of a customer. Also, we prove that the sojourn time of a customer can be approximated by some recurrent functional. We also provide the results of statistical simulations for various system parameters and distributions.
Starting Page	37
Ending Page	57
Page Count	21
File Format	PDF
ISSN	13875841
Journal	Methodology and Computing in Applied Probability
Volume Number	18
Issue Number	1
e-ISSN	15737713
Language	English
Publisher	Springer US
Publisher Date	2014-04-03
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Queueing systems Queues in series Heavy traffic A law of the iterated logarithm Sojourn time of a customer Maximum of the sojourn time of a customer Statistical modeling Monte Carlo simulation Statistics Life Sciences Electrical Engineering Economics Business and Management
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability

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