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The Virtual Waiting Time of the M/G/1 Queue with Impatient Customers
Authors:Bae  Jongho  Kim  Sunggon  Lee  Eui Yong
Affiliation:(1) Statistical Research Center for Complex Systems, Seoul National University, Seoul, 151-742, Republic of Korea;(2) Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Republic of Korea;(3) Department of Statistics, Sookmyung Women's University, Seoul, 140-742, Republic of Korea
Abstract:
The M/G/1 queue with impatient customers is studied. The complete formula of the limiting distribution of the virtual waiting time is derived explicitly. The expected busy period of the queue is also obtained by using a martingale argument.
Keywords:M/G/1 queue  impatient customer  virtual waiting time  busy period
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