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Technical Note—Simulating theGI/G/1 Queue in Heavy Traffic

Do Le Minh, Ronald M. Sorli

Operations Research · 1983 · Volume 31 · Issue 5

DOI: 10.1287/opre.31.5.966

Abstract

In this paper, we suggest that instead of ignoring a certain quantity to obtain Kingman's heavy traffic approximation for the stationary expected waiting time in the GI / G /1 queue, we simulate it. This leads to a new consistent estimator for the stationary expected waiting time in queue, the variance of which is reduced substantially when the traffic intensity approaches unity.

Keywords

700 simulation of GI/G/1 queues

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