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Queuing Systems with Enforced Idle Time

Author

Listed:
  • B. A. Powell

    (Case Institute of Technology, Cleveland, Ohio)

  • B. Avi-Itzhak

    (Israel Institute of Technology, Haifa, Israel)

Abstract

Enforced idle time occurs in any queuing system in which it is possible for the server to be idle and the queue length to be nonzero simultaneously. This paper examines queuing systems in which the server is constrained to start service only at fixed intervals of time, with arrivals of customers and service completions occurring continuously. The GI / M / N , GI / D / N , M / D / N , and GI / G /1 queuing systems with enforced idle time are studied and some closed form steady-state results are presented. An application to railroad car pool systems is suggested.

Suggested Citation

  • B. A. Powell & B. Avi-Itzhak, 1967. "Queuing Systems with Enforced Idle Time," Operations Research, INFORMS, vol. 15(6), pages 1145-1156, December.
    • Handle: RePEc:inm:oropre:v:15:y:1967:i:6:p:1145-1156
    DOI: 10.1287/opre.15.6.1145
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    Cited by:

    1. Deena Merit C.K. & Haridass M. & Dharmaraja Selvamuthu & Priyanka Kalita, 2023. "Energy Efficiency in a Base Station of 5G Cellular Networks using M/G/1 Queue with Multiple Sleeps and N-Policy," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-28, June.

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