DocumentCode
2571810
Title
Queue length analysis of delayed vacation Geom/G/1 with set-up
Author
Chen, Qi ; Jin, Shunfu
Author_Institution
Sch. of Inf. Sci. & Technol., Yanshan Univ., Qinhuangdao
fYear
2008
fDate
2-4 July 2008
Firstpage
5298
Lastpage
5300
Abstract
Based on classical Geom/G/1 model, setup mechanism is introduced and delayed vacation strategy is used, then a delayed vacation Geom/G/1 queue model with setup is formed. Choosing customer departure epoch as embedded point, by the method of embedded Markov chain, the probability generating function (PGF) of queue length is derived, the decomposition of the PGF is analyzed, the formula of average queue length is presented.
Keywords
Markov processes; probability; queueing theory; travel industry; Geom/G/1 model; Markov chain; delayed vacation strategy; probability generating function; queue length analysis; Customer service; Delay effects; Distribution functions; Electronic mail; Gold; Information analysis; Information science; Queueing analysis; Random variables; Geom/G/1; embedded Markov chain; queue length; vacation queue;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-1733-9
Electronic_ISBN
978-1-4244-1734-6
Type
conf
DOI
10.1109/CCDC.2008.4598342
Filename
4598342
Link To Document