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Preemptive Priority Assignment in Multichannel Systems

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  • Israel Brosh

    (Newark College of Engineering, Newark, New Jersey)

Abstract

Customers of different priorities arrive at a system in accordance with a Poisson process. The customers are serviced by c service stations using a preemptive priority discipline. When the servicing times are exponentially distributed, this paper derives expressions for the expected waiting time for inception of service, as well as the lower and upper bounds for the expected staying time and expected number of customers of each priority class (1 ≦ p ≦ r ) in the system and in the line.

Suggested Citation

  • Israel Brosh, 1969. "Preemptive Priority Assignment in Multichannel Systems," Operations Research, INFORMS, vol. 17(3), pages 526-535, June.
  • Handle: RePEc:inm:oropre:v:17:y:1969:i:3:p:526-535
    DOI: 10.1287/opre.17.3.526
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