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Decomposition-Based Queueing Network Analysis with FiFiQueues

In: Queueing Networks

Author

Listed:
  • Ramin Sadre

    (Mathematics and Computer Science)

  • Boudewijn R. Haverkort

    (Mathematics and Computer Science
    Embedded Systems Institute)

Abstract

In this chapter we present an overview of decomposition-based analysis techniques for large open queueing networks.We present a general decompositionbased solution framework, without referring to any particular model class, and propose a general fixed-point iterative solution method for it.We concretize this framework by describing the well-known QNA method, as proposed byWhitt in the early 1980s, in that context, before describing our FiFiQueues approach. FiFiQueues alarrival and service time distributions are of phase-type; individual queues, all with single servers, can have bounded or unbounded buffers. Next to an extensive evaluation with generally very favorable results for FiFiQueues, we also present a theorem on the existence of a fixed-point solution for FiFiQueues.

Suggested Citation

  • Ramin Sadre & Boudewijn R. Haverkort, 2011. "Decomposition-Based Queueing Network Analysis with FiFiQueues," International Series in Operations Research & Management Science, in: Richard J. Boucherie & Nico M. Dijk (ed.), Queueing Networks, chapter 15, pages 643-699, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-6472-4_15
    DOI: 10.1007/978-1-4419-6472-4_15
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    Cited by:

    1. Hu, Lu & Jiang, Yangsheng & Zhu, Juanxiu & Chen, Yanru, 2015. "A PH/PH(n)/C/C state-dependent queuing model for metro station corridor width design," European Journal of Operational Research, Elsevier, vol. 240(1), pages 109-126.

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