On approximations for queues, I: Extremal distributions

  title={On approximations for queues, I: Extremal distributions},
  author={Ward Whitt},
  journal={AT&T Bell Laboratories Technical Journal},
  • Ward Whitt
  • Published 1984 in AT&T Bell Laboratories Technical Journal
Many approximations for queueing characteristics such as the mean equilibrium queue length are based on two moments of the interarrivai and service times. To evaluate these approximations, we suggest looking at the set of all possible values of the queueing characteristics given the specified moment parameters. This set-valued function is useful for evaluating the accuracy of approximations. For several models, such as the GI/M/1 queue, the set of possible values for the mean queue length given… CONTINUE READING
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