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Dynamic Routing in a Queueing System with a Multiple Service Facility

Author

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  • Janusz Filipiak

    (Academy of Mining and Metallurgy, Krakow, Poland)

Abstract

In this paper we analyze a problem of traffic assignment within a queueing system with multiple service facilities subject to a changing load. The evolution in time of the mean number in the system is approximated with a nonlinear differential equation. The dynamic flow pattern is found for which the total waiting time of all entities passing the system is minimal. A numerical example is given. For the system in a nonstationary environment an adaptive strategy developed in this paper is compared with the performance of the policy of joining the shorter queue.

Suggested Citation

  • Janusz Filipiak, 1984. "Dynamic Routing in a Queueing System with a Multiple Service Facility," Operations Research, INFORMS, vol. 32(5), pages 1163-1180, October.
    • Handle: RePEc:inm:oropre:v:32:y:1984:i:5:p:1163-1180
    DOI: 10.1287/opre.32.5.1163
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    Cited by:

    1. Brooks, James D. & Kar, Koushik & Mendonça, David J., 2016. "Allocation of flows in closed bipartite queueing networks," European Journal of Operational Research, Elsevier, vol. 255(2), pages 333-344.
    2. Schwarz, Justus Arne & Selinka, Gregor & Stolletz, Raik, 2016. "Performance analysis of time-dependent queueing systems: Survey and classification," Omega, Elsevier, vol. 63(C), pages 170-189.
    3. Lee, Adrian J. & Jacobson, Sheldon H., 2011. "The impact of aviation checkpoint queues on optimizing security screening effectiveness," Reliability Engineering and System Safety, Elsevier, vol. 96(8), pages 900-911.

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