Heavy Tails: The Effect of the Service Discipline

نویسندگان

  • Sem C. Borst
  • Onno J. Boxma
  • R. Núñez Queija
چکیده

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 waitingor 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. This paper is dedicated to the memory of Vincent Dumas, a dear friend and gifted young mathematician.

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تاریخ انتشار 2002