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The shortest queue model with jockeying

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  • Yiqiang Zhao
  • W. K. Grassmann

Abstract

In this article we deal with the shortest queue model with jockeying. We assume that the arrivals are Poisson, each of the exponential servers has his own queue, and jockeying among the queues is permitted. Explicit solutions of the equilibrium probabilities, the expected customers, and the expected waiting time of a customer in the system are given, which only depend on the traffic intensity. Numerical results can be easily obtained from our solutions. Several examples are provided in the article.

Suggested Citation

  • Yiqiang Zhao & W. K. Grassmann, 1990. "The shortest queue model with jockeying," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 773-787, October.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:5:p:773-787
    DOI: 10.1002/1520-6750(199010)37:53.0.CO;2-2
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    References listed on IDEAS

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    1. Elsayed, E. A. & Bastani, A., 1985. "General solutions of the jockeying problem," European Journal of Operational Research, Elsevier, vol. 22(3), pages 387-396, December.
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    Cited by:

    1. Sergei A. Dudin & Olga S. Dudina & Olga I. Kostyukova, 2023. "Analysis of a Queuing System with Possibility of Waiting Customers Jockeying between Two Groups of Servers," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    2. Li Li & Li Jiang & Liming Liu, 2012. "Service and Price Competition When Customers Are Naive," Production and Operations Management, Production and Operations Management Society, vol. 21(4), pages 747-760, July.
    3. Blanc, J.P.C., 2009. "Bad luck when joining the shortest queue," European Journal of Operational Research, Elsevier, vol. 195(1), pages 167-173, May.
    4. P. Patrick Wang, 2000. "Workload distribution of discrete‐time parallel queues with two servers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(5), pages 440-454, August.
    5. Simon Martin & Isi Mitrani, 2008. "Analysis of job transfer policies in systems with unreliable servers," Annals of Operations Research, Springer, vol. 162(1), pages 127-141, September.

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    1. Sergei A. Dudin & Olga S. Dudina & Olga I. Kostyukova, 2023. "Analysis of a Queuing System with Possibility of Waiting Customers Jockeying between Two Groups of Servers," Mathematics, MDPI, vol. 11(6), pages 1-21, March.

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