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Optimal Prediction of Queue Lengths and Delays inGI/M/mMultiserver Queues

C. Murray Woodside, David A. Stanford, Bernard Pagurek

Operations Research · 1984 · Volume 32 · Issue 4

DOI: 10.1287/opre.32.4.809

Abstract

We present optimal mean square predictors for queue lengths and delays in the stationary GI / M / m queue, based on a queue length measurement. The development specifies interrelationships among these predictors and numerical examples demonstrate basic properties of the predictors.

Keywords

681 multiserver queues, 704 transients

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