Stochastic decompositions in the M/M/1 queue with working vacations

Authors:
Wen-Yuan Liu;Xiu-Li Xu;Nai-Shuo Tian
Affiliations:
College of Information Science and Engineering, Yanshan University, Hebei Qinhuangdao 066004, China;College of Sciences, Yanshan University, Hebei Qinhuangdao 066004, China;College of Sciences, Yanshan University, Hebei Qinhuangdao 066004, China
Venue:
Operations Research Letters
Year:
2007

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Abstract

We demonstrate stochastic decomposition structures of the queue length and waiting time in an M/M/1/WV queue, and obtain the distributions of the additional queue length and additional delay. Furthermore, we discuss the relationship between the stochastic decomposition properties of the working vacation queue and those of the standard M/G/1 queue with general vacations.