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Technical Note—Optimality of Monotonic Policies for Multiple-Server Exponential Queuing Systems with State-Dependent Arrival Rates

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  • Wayne Winston

    (Indiana University, Bloomington, Indiana)

Abstract

We consider an exponential queuing system consisting of several removable servers in which the arrival rate depends on the current system state. Costs are incurred at a rate that depends on both the number of customers present and the number of servers in operation. We present conditions that ensure that the number of servers in operation is a non-decreasing function of the number of customers in the system.

Suggested Citation

  • Wayne Winston, 1978. "Technical Note—Optimality of Monotonic Policies for Multiple-Server Exponential Queuing Systems with State-Dependent Arrival Rates," Operations Research, INFORMS, vol. 26(6), pages 1089-1094, December.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:6:p:1089-1094
    DOI: 10.1287/opre.26.6.1089
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    Cited by:

    1. R. E. Lillo, 2000. "Optimal Operating Policy for an M/G/1 Exhaustive Server-Vacation Model," Methodology and Computing in Applied Probability, Springer, vol. 2(2), pages 153-167, August.
    2. Argon, Nilay Tanik & Gullu, Refik & Erkip, Nesim, 2001. "Analysis of an inventory system under backorder correlated deterministic demand and geometric supply process," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 247-254, May.

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