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Queueing Systems: Theory and Applications
How large delays build up in a GI/G/1 quqe
Queueing Systems: Theory and Applications
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Queueing Systems: Theory and Applications
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Queueing Systems: Theory and Applications
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Queueing Systems: Theory and Applications
Sojourn times in a processor sharing queue with service interruptions
Queueing Systems: Theory and Applications
Sojourn time asymptotics in the M/G/1 processor sharing queue
Queueing Systems: Theory and Applications
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Queueing Systems: Theory and Applications
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This paper considers the M/G/1 queue with regularly varying service requirement distribution. It studies the effect of the service discipline on the tail behavior of the waiting- or sojourn time distribution, demonstrating that different disciplines may lead to quite different tail behavior. The orientation of the paper is methodological: We outline three different methods of determining tail behavior, illustrating them for service disciplines like FCFS, Processor Sharing and LCFS.