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Simultaneous buffer and service rate allocation in open finite queueing networks

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  • James MacGregor Smith

Abstract

Simultaneous buffer and service rate allocation in open finite queueing networks is a nonlinear mixed-integer programming problem that is NP${\cal NP}$-Hard. A queueing network decomposition methodology is coupled with a nonlinear sequential quadratic programming algorithm to compute the simultaneous optimal buffer allocations and service rates via a branch-and-bound scheme for various network topologies. It is shown that the optimization problem is a nonlinear convex programming problem, which assists in the search for local optimal solutions. The material handling or transportation system for transferring the finite customer population between the nodes in the network is also included. Extensive numerical results demonstrate the efficacy of the methodology for series, split, and merge topology networks. Examination of the persistence or absence of the allocation patterns of the service rates and buffers is one of the focal points of this work.

Suggested Citation

  • James MacGregor Smith, 2018. "Simultaneous buffer and service rate allocation in open finite queueing networks," IISE Transactions, Taylor & Francis Journals, vol. 50(3), pages 203-216, March.
    • Handle: RePEc:taf:uiiexx:v:50:y:2018:i:3:p:203-216
    DOI: 10.1080/24725854.2017.1300359
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    References listed on IDEAS

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    1. Laoucine Kerbache & J. Macgregor Smith, 2012. "State Dependent Models of Material Handling Systems in Closed Queueing Networks," Post-Print hal-00796338, HAL.
    2. Diomidis Spinellis & Michael J. Vidalis & Michael E. J. O'Kelly & Chrissoleon T. Papadopoulos, 2009. "Analysis and Design of Discrete Part Production Lines," Springer Optimization and Its Applications, Springer, number 978-0-387-89494-2, June.
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    Cited by:

    1. Mehmet Ulaş Koyuncuoğlu & Leyla Demir, 2021. "A comparison of combat genetic and big bang–big crunch algorithms for solving the buffer allocation problem," Journal of Intelligent Manufacturing, Springer, vol. 32(6), pages 1529-1546, August.

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