The Virtual Waiting Time of the M/G/1 Queue with Impatient Customers

Authors:
Jongho Bae;Sunggon Kim;Eui Yong Lee
Affiliations:
Statistical Research Center for Complex Systems, Seoul National University, Seoul, 151-742, Republic of Korea emprit@hanmail.net;Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Republic of Korea opop@postech.ac.kr;Department of Statistics, Sookmyung Women's University, Seoul, 140-742, Republic of Korea eylee@sookmyung.ac.kr
Venue:
Queueing Systems: Theory and Applications
Year:
2001

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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.