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
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;
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
DOI :
10.1109/ISA.2011.5873299
