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Optimal static customer routing in a closed queuing network

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  • A. Hordijk
  • J. A. Loeve

Abstract

In this paper we analyse the routing of customers in a general closed queuing network which satisfies a product‐form assumption. We prove that there are optimal deterministic routing rules, and we provide an algorithm to compute a Nash equilibrium point of the stochastic game in which the players are the customers. Constrained optimal routing rules are also considered.

Suggested Citation

  • A. Hordijk & J. A. Loeve, 2000. "Optimal static customer routing in a closed queuing network," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 54(2), pages 148-159, July.
    • Handle: RePEc:bla:stanee:v:54:y:2000:i:2:p:148-159
    DOI: 10.1111/1467-9574.00133
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    Cited by:

    1. Michelle Opp & Kevin Glazebrook & Vidyadhar G. Kulkarni, 2005. "Outsourcing warranty repairs: Dynamic allocation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 381-398, August.
    2. Brooks, James D. & Kar, Koushik & Mendonça, David J., 2016. "Allocation of flows in closed bipartite queueing networks," European Journal of Operational Research, Elsevier, vol. 255(2), pages 333-344.

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