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A comparison of queue disciplines when service orientation times occur

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  • D. P. Gaver

Abstract

A single manufacturing facility (server) is confronted with stationary Poisson demands. Each demand belongs to one of two classes, A or B. Manufacturing (service) times are independently and arbitrarily distributed random variables. In addition, orientation times are required when a switch is made from A customers to B customers. Two disciplines describing the order of service are discussed: “first‐come, first‐served,” and a preemptive priority procedure. Long‐run delays for the “first‐come, first‐served” disciplines are given. It is shown that, when orientation times occur, “first‐come, first‐served” may cause the system to saturate for smaller total demand rate than will a priority discipline that economizes on orientations.

Suggested Citation

  • D. P. Gaver, 1963. "A comparison of queue disciplines when service orientation times occur," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 219-235, March.
    • Handle: RePEc:wly:navlog:v:10:y:1963:i:1:p:219-235
    DOI: 10.1002/nav.3800100118
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    Cited by:

    1. Abhishek & Marko A. A. Boon & Onno J. Boxma & Rudesindo Núñez-Queija, 2017. "A single-server queue with batch arrivals and semi-Markov services," Queueing Systems: Theory and Applications, Springer, vol. 86(3), pages 217-240, August.
    2. Abhishek & Marko A. A. Boon & Michel Mandjes, 2019. "Generalized gap acceptance models for unsignalized intersections," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(3), pages 385-409, June.

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