Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service times
نویسندگان
چکیده
منابع مشابه
Tail Asymptotics of Queueing Networks with Subexponential Service Times
To myself and my parents... iii ACKNOWLEDGEMENTS Throughout my graduate studies, I am indebted to many people for their help and encouragement. First of all, I would like to thank my advisor Prof. Hayriye Ayhan. It is impossible for me to express in words my full appreciation. However, I would like to thank all of her advice and support during my graduate studies. I would not have completed thi...
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This paper considers a stable GI|GI|1 queue with a regularly varying service time distribution. We derive the tail behaviour of the integral of the queue length process Q(t) over the busy period. We show that an occurrence of a large integral is related to an occurrence of a large maximum of the queueing process over the busy period and we exploit asymptotic result for this variable. We also pr...
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The error between the actual value of the mean busy periQ..d and the value estimaled by a common queueing tormula (D;:;: SOl (i-V)) is evaluated. tDenning's addre:'l!l: Department of Compu.ter Sciences, Purdue University, W. Lafayette, IN 41907 USA. KoweJk's addre:iS: FClchbcrcich Inrormatik, Univer:ritut Hamburg. RoUlerbllumschau9ce 07/09, 2000 Hamburg 10, West Gcrmuny.
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For a K-stage cyclic queueing network with N customers and general service times we provide bounds on the n departure time from each stage. Furthermore, we analyze the asymptotic tail behavior of cycle times and waiting times given that at least one service time distribution is subexponential.
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2004
ISSN: 0304-4149
DOI: 10.1016/j.spa.2004.01.005