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

Author

Listed:
  • D. A. Stanford

    (Bell Northern Research, Ottawa, Canada)

  • B. Pagurek

    (Carleton University, Ottawa, Canada)

  • C. M. Woodside

    (Carleton University, Ottawa, Canada)

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.

Suggested Citation

  • D. A. Stanford & B. Pagurek & C. M. Woodside, 1983. "Optimal Prediction of Times and Queue Lengths in the GI / M /1 Queue," Operations Research, INFORMS, vol. 31(2), pages 322-337, April.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:2:p:322-337
    DOI: 10.1287/opre.31.2.322
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    Cited by:

    1. Ward Whitt, 1999. "Predicting Queueing Delays," Management Science, INFORMS, vol. 45(6), pages 870-888, June.
    2. Azam Asanjarani & Yoni Nazarathy & Peter Taylor, 2021. "A survey of parameter and state estimation in queues," Queueing Systems: Theory and Applications, Springer, vol. 97(1), pages 39-80, February.

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