DocumentCode
3519742
Title
The Limit Distribution of Queue Length of GI/G/1 Queuing Systems
Author
Dong, Hailing ; Jiang, Guochao
Author_Institution
Sch. of Math. & Comput. Sci., Shenzhen Univ., Shenzhen, China
fYear
2011
fDate
28-29 May 2011
Firstpage
1
Lastpage
4
Abstract
This paper investigates the queue length of GI/G/1 queueing systems, and obtains its limit distribution based on Markov skeleton processes, in particular, backward equations and limit distribution. The method of Markov skeleton processes is applied because this paper proves that the queue length of GI/G/1 queueing systems is a positive recurrent Doob skeleton process, which is a special case of Markov skeleton processes.
Keywords
Markov processes; queueing theory; GI/G/1 queueing systems; Markov skeleton processes; positive recurrent doob skeleton process; queue length limit distribution; Equations; Lattices; Markov processes; Presses; Probability; Queueing analysis; Skeleton;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Systems and Applications (ISA), 2011 3rd International Workshop on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-9855-0
Electronic_ISBN
978-1-4244-9857-4
Type
conf
DOI
10.1109/ISA.2011.5873299
Filename
5873299
Link To Document