Optimal Prediction of Times and Queue Lengths in the GI / M /1 Queue

D. A. Stanford, B. Pagurek and C. M. Woodside
Additional contact information
D. A. Stanford: Bell Northern Research, Ottawa, Canada
B. Pagurek: Carleton University, Ottawa, Canada
C. M. Woodside: Carleton University, Ottawa, Canada

Operations Research, 1983, vol. 31, issue 2, 322-337

Abstract: This paper presents optimal predictors for variables in a GI / M /1 queue, number in the queue, time in the queue, and waiting time. The conditional-expectation predictors and optimal linear predictors are derived and compared. Close relationships are found among the predictors and their performance values, with prediction of number in queue from some previous number playing the key role. Basic properties of the predictors are illustrated with examples.

Keywords: 681 prediction in single server queues; 704 conditional expectations of times and queue lengths (search for similar items in EconPapers)
Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:31:y:1983:i:2:p:322-337

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