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Optimal control of arrivals in tandem queues of constant service time

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Abstract.

We propose an optimal schedule for multiple classes of arrivals in a queueing system consisting of queues in tandem. The arrival process for each class is Poisson with different rates, and the service times are constant. A theoretical result is presented by Linear Programming of sample-path arguments, together with duality theory. The approach shows a powerful analytical tool which facilities the procedure in analysis of optimization in queueing control problems and a possibility of future study in other similar problems.

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Authors and Affiliations

  1. Department of Mathematical Sciences, National Chengchi University, Taipei 116, Taiwan R.O.C., , , , , , TW

    Hsing Luh

  2. Abteilung Mathematik VII, Universitaet Ulm, D-89069 Ulm, Germany (e-mail: rieder@mathematik.uni-ulm.de), , , , , , DE

    Ulrich Rieder

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  1. Hsing Luh
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  2. Ulrich Rieder
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Manuscript received: August 2000

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Luh, H., Rieder, U. Optimal control of arrivals in tandem queues of constant service time. Mathematical Methods of OR 53, 481–491 (2001). https://doi.org/10.1007/s001860100128

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  • DOI: https://doi.org/10.1007/s001860100128

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