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Exploiting Partial Information in Queueing Systems

Author

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  • Yasushi Masuda

    (University of California, Riverside, California)

Abstract

We often try to draw inferences from partial observations of queueing systems in real-life situations. For example, if we observe many customer arrivals, we may presume that the system is crowded and many customers are served. Unfortunately, such an intuitive statement is not necessarily valid. We provide sufficient conditions under which the intuition can be justified, and investigate related properties of queueing systems. We also study a way to exploit the partial information in a quantitative manner for simple queueing systems. One numerical result is rather counterintuitive. Specifically, the number of customers in the system at time t given that the cumulative number of departures is a certain constant is not necessarily stochastically increasing in t for a simple M / M /1 system with finite capacity.

Suggested Citation

  • Yasushi Masuda, 1995. "Exploiting Partial Information in Queueing Systems," Operations Research, INFORMS, vol. 43(3), pages 530-536, June.
    • Handle: RePEc:inm:oropre:v:43:y:1995:i:3:p:530-536
    DOI: 10.1287/opre.43.3.530
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    Cited by:

    1. Franco Pellerey & Jorge Navarro, 2022. "Stochastic monotonicity of dependent variables given their sum," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 543-561, June.
    2. Saumard, Adrien & Wellner, Jon A., 2018. "Efron’s monotonicity property for measures on R2," Journal of Multivariate Analysis, Elsevier, vol. 166(C), pages 212-224.

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