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
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;
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
DOI :
10.1109/CCDC.2008.4598342
