The N threshold policy for the GI/M/1 queue

Authors:
Zhe George Zhang;Naishuo Tian
Affiliations:
Department of Decision Sciences, Western Washington University, Bellingham, WA 98225-9077, USA;Department of Mathematics, Yanshan University, Qinhuangdao, 066004, China
Venue:
Operations Research Letters
Year:
2004

Citing 2
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Abstract

We study a GI/M/1 queue with an N threshold policy. In this system, the server stops attending the queue when the system becomes empty and resumes serving the queue when the number of customers reaches a threshold value N. Using the embeded Markov chain method, we obtain the stationary distributions of queue length and waiting time and prove the stochastic decomposition properties.