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Optimal Routing of Customers to Two Parallel Heterogeneous Servers: The Case of IHR Service Times

Author

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  • Esther Frostig

    (University of Haifa, Haifa, Israel)

  • Benny Levikson

    (University of Haifa, Haifa, Israel)

Abstract

We consider here the optimal routing of customers, arriving to a system consisting of two heterogeneous parallel servers. The service times of the two servers have an increasing hazard rate. The arrival process is a general renewal process. The cost of holding x customers in the system per time unit is a nondecreasing and convex function. The objective is to minimize the expected discounted holding cost. We show some monotonicity properties of the optimal policy. Then we show that the optimal policy routes an arriving customer to the fastest server whenever this server has the lowest workload.

Suggested Citation

  • Esther Frostig & Benny Levikson, 1999. "Optimal Routing of Customers to Two Parallel Heterogeneous Servers: The Case of IHR Service Times," Operations Research, INFORMS, vol. 47(3), pages 438-444, June.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:3:p:438-444
    DOI: 10.1287/opre.47.3.438
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    References listed on IDEAS

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    1. Johri, Pravin K., 1989. "Optimality of the shortest line discipline with state-dependent service rates," European Journal of Operational Research, Elsevier, vol. 41(2), pages 157-161, July.
    2. Ward Whitt, 1986. "Deciding Which Queue to Join: Some Counterexamples," Operations Research, INFORMS, vol. 34(1), pages 55-62, February.
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    Cited by:

    1. Tom F. Tan & Bradley R. Staats, 2020. "Behavioral Drivers of Routing Decisions: Evidence from Restaurant Table Assignment," Production and Operations Management, Production and Operations Management Society, vol. 29(4), pages 1050-1070, April.

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