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The G/G/s Queue

  1. Lothar Breuer

Published Online: 15 FEB 2011

DOI: 10.1002/9780470400531.eorms0879

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Breuer, L. 2011. The G/G/s Queue. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. University of Kent, Institute of Mathematics and Statistics, Canterbury, UK

Publication History

  1. Published Online: 15 FEB 2011

Abstract

This article provides a literature survey on results for the G/G/s multiserver queue with general interarrival and service time distributions. It further presents two fundamental aspects in a concise yet relatively self-sufficient form. These are results on the waiting time vectors, derived by Kiefer and Wolfowitz, and the special case of the G/M/s queue with exponential service time distributions, first analyzed by Kendall.

Keywords:

  • multiserver queue;
  • waiting time;
  • delay distribution;
  • busy period;
  • model fitting