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Optimal use of excess capacity in two interconnected queues

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  • Dimitrios Pandelis

Abstract

We consider a two-stage tandem queueing network where jobs from station 1 join station 2 with a certain probability. Each job incurs a linear holding cost, different for each station. Each station is attended by a dedicated server, and there is an additional server that is either constrained to serve in station 1 or can serve in both stations. Assuming no switching or other operating costs for the additional server, we seek an allocation strategy that minimizes expected holding costs. For a clearing system we show that the optimal policy is characterized by a switching curve for which we provide a lower bound on its slope. We also specify a subset of the state space where the optimal policy can be explicitly determined. Copyright Springer-Verlag 2007

Suggested Citation

  • Dimitrios Pandelis, 2007. "Optimal use of excess capacity in two interconnected queues," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(1), pages 179-192, February.
    • Handle: RePEc:spr:mathme:v:65:y:2007:i:1:p:179-192
    DOI: 10.1007/s00186-006-0112-2
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    References listed on IDEAS

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    1. Izak Duenyas & Diwakar Gupta & Tava Lennon Olsen, 1998. "Control of a Single-Server Tandem Queueing System with Setups," Operations Research, INFORMS, vol. 46(2), pages 218-230, April.
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    Cited by:

    1. Dimitrios G. Pandelis, 2014. "Optimal control of noncollaborative servers in two‐stage tandem queueing systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(6), pages 435-446, September.
    2. Sina Ansari & Seyed M. R. Iravani & Qifeng Shao, 2019. "Optimal control policies in service systems with limited information on the downstream stage," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(5), pages 367-392, August.

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