Large Deviation Analysis of Subexponential Waiting Times in a Processor-Sharing Queue Academic Article uri icon

abstract

  • We investigate the distribution of the waiting time V in a stable M/G/1 processor-sharing queue with traffic intensity < 1. When the distribution of a customer service request B belongs to a large class of subexponential distributions with tails heavier than ex, it is shown that [Formula: see text] Furthermore, we demonstrate that the preceding relationship does not hold if the service distribution has a lighter tail than ex.

published proceedings

  • Mathematics of Operations Research

author list (cited authors)

  • Jelenkovi, P., & Momilovi, P.

publication date

  • January 1, 2003 11:11 AM