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Optimal server allocation in general, finite, multi‐server queueing networks

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  • J. MacGregor Smith
  • F. R. B. Cruz
  • T. van Woensel

Abstract

Queueing networks with finite buffers, multiple servers, arbitrary acyclic, series‐parallel topologies, and general service time distributions are considered in this paper. An approach to optimally allocate servers to series, merge, and split topologies and their combinations is demonstrated. The methodology builds on two‐moment approximations to the service time distribution embedded in the generalized expansion method for computing the performance measures in complex finite queueing networks and Powell's algorithm for optimally allocating servers to the network topology. Convexity of the objective function along with results from computational experiments is presented for showing the efficacy of the methodology. Copyright © 2009 John Wiley & Sons, Ltd.

Suggested Citation

  • J. MacGregor Smith & F. R. B. Cruz & T. van Woensel, 2010. "Optimal server allocation in general, finite, multi‐server queueing networks," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 26(6), pages 705-736, November.
    • Handle: RePEc:wly:apsmbi:v:26:y:2010:i:6:p:705-736
    DOI: 10.1002/asmb.813
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    Cited by:

    1. Andersen, Anders Reenberg & Nielsen, Bo Friis & Reinhardt, Line Blander & Stidsen, Thomas Riis, 2019. "Staff optimization for time-dependent acute patient flow," European Journal of Operational Research, Elsevier, vol. 272(1), pages 94-105.
    2. H. S. R. Martins & F. R. B. Cruz & A. R. Duarte & F. L. P. Oliveira, 2019. "Modeling and optimization of buffers and servers in finite queueing networks," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 123-150, March.

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