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Approximating the Mean Time in System in a Multiple-Server Queue that Uses Threshold Scheduling

Author

Listed:
  • Randolph Nelson

    (IBM Corporation, Yorktown Heights, New York)

  • Don Towsley

    (University of Massachusetts, Amherst, Massachusetts)

Abstract

In this paper we consider a queueing system consisting of a single queue with multiple exponential servers with different servicing rates. We assume that arrivals to the queue come from a Poisson source and are scheduled according to a threshold policy. Since determining the exact mean time in system appears to be difficult, we present an approximation that yields results very close to those obtained from simulation.

Suggested Citation

  • Randolph Nelson & Don Towsley, 1987. "Approximating the Mean Time in System in a Multiple-Server Queue that Uses Threshold Scheduling," Operations Research, INFORMS, vol. 35(3), pages 419-427, June.
    • Handle: RePEc:inm:oropre:v:35:y:1987:i:3:p:419-427
    DOI: 10.1287/opre.35.3.419
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