Heavy Tails: The Effect of the Service Discipline

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2324)


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.


Sojourn Time Busy Period Heavy Tail Service Requirement Service Discipline 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  1. 1.CWIAmsterdamThe Netherlands
  2. 2.Department of Mathematics & Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands
  3. 3.Bell LaboratoriesLucent TechnologiesMurray HillUSA

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