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Modeling and optimization of buffers and servers in finite queueing networks

Author

Listed:
  • H. S. R. Martins

    (Universidade Federal de Ouro Preto)

  • F. R. B. Cruz

    (Universidade Federal de Minas Gerais)

  • A. R. Duarte

    (Universidade Federal de Ouro Preto)

  • F. L. P. Oliveira

    (Universidade Federal de Ouro Preto)

Abstract

The joint buffer and server optimization problem (BCAP) is a non-linear optimization problem with integer decision variables that optimizes the numbers of buffers and servers such that the resulting throughput is greater than a pre-defined threshold throughput. This work presents a detailed review of the current literature that addresses allocation problems, particularly the BCAP, and a quite effective methodology for solving this problem, which consists of a combination of approximate methods and the Powell algorithm, a derivative-free optimization algorithm. The methodology was applied to networks of queues in the basic topologies series, split, and merge, producing very encouraging results that pointed at robust and homogeneous solutions.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:opsear:v:56:y:2019:i:1:d:10.1007_s12597-019-00362-7
    DOI: 10.1007/s12597-019-00362-7
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    References listed on IDEAS

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    Cited by:

    1. Amina Angelika Bouchentouf & Abdelhak Guendouzi, 2021. "Single Server Batch Arrival Bernoulli Feedback Queueing System with Waiting Server, K-Variant Vacations and Impatient Customers," SN Operations Research Forum, Springer, vol. 2(1), pages 1-23, March.

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