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A Two-Moment Approximation for the Mean Waiting Time in the GI/G/s Queue

Author

Listed:
  • Toshikazu Kimura

    (Faculty of Economics and Business Administration, Hokkaido University, Sapporo 060, Japan)

Abstract

We provide a simple two-moment approximation formula for the mean waiting time in a GI/G/s queue. This formula has the form of a certain combination of the exact mean waiting times for the D/M/s, M/D/s and M/M/s queues, and hence it can be easily calculated by using some queueing tables. The quality of the approximation is tested by comparing it with known solutions in particular cases.

Suggested Citation

  • Toshikazu Kimura, 1986. "A Two-Moment Approximation for the Mean Waiting Time in the GI/G/s Queue," Management Science, INFORMS, vol. 32(6), pages 751-763, June.
    • Handle: RePEc:inm:ormnsc:v:32:y:1986:i:6:p:751-763
    DOI: 10.1287/mnsc.32.6.751
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    Cited by:

    1. Maddah, Bacel & Nasr, Walid W. & Charanek, Ali, 2017. "A multi-station system for reducing congestion in high-variability queues," European Journal of Operational Research, Elsevier, vol. 262(2), pages 602-619.
    2. Carlos Chaves & Abhijit Gosavi, 2022. "On general multi-server queues with non-poisson arrivals and medium traffic: a new approximation and a COVID-19 ventilator case study," Operational Research, Springer, vol. 22(5), pages 5205-5229, November.
    3. M. L. Chaudhry, 1992. "Computing stationary queueing‐time distributions of GI/D/1 and GI/D/c queues," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(7), pages 975-996, December.
    4. Yang, Woosuk, 2018. "A user-choice model for locating congested fast charging stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 110(C), pages 189-213.
    5. Muhammad El-Taha & Bacel Maddah, 2006. "Allocation of Service Time in a Multiserver System," Management Science, INFORMS, vol. 52(4), pages 623-637, April.

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