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Priority Queues

Author

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  • Lajos Takács

    (Columbia University, New York)

Abstract

Customers of different priorities are arriving at a counter in accordance with a Poisson process. The customers are served by a single server in order of priority and for each priority in order of arrival. Two cases are considered: (i) service with privileged interruptions and (ii) service without interruption. It is supposed that the service times are mutually independent random variables having a prescribed distribution for each priority and independent of the arrival times. In both cases (i) and (ii) a simple method is given for finding the Laplace-Stieltjes transform and the moments of the stationary distribution of the waiting time for each priority level.

Suggested Citation

  • Lajos Takács, 1964. "Priority Queues," Operations Research, INFORMS, vol. 12(1), pages 63-74, February.
    • Handle: RePEc:inm:oropre:v:12:y:1964:i:1:p:63-74
    DOI: 10.1287/opre.12.1.63
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