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A tractable analytical model for large-scale congested protein synthesis networks

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  • Osorio, Carolina
  • Bierlaire, Michel

Abstract

This paper presents an analytical model, based on finite capacity queueing network theory, to evaluate congestion in protein synthesis networks. These networks are modeled as a set of single server bufferless queues in a tandem topology. This model proposes a detailed state space formulation, which provides a fine description of congestion and contributes to a better understanding of how the protein synthesis rate is deteriorated. The model approximates the marginal stationary distributions of each queue. It consists of a system of linear and quadratic equations that can be decoupled. The numerical performance of this method is evaluated for networks with up to 100,000 queues, considering scenarios with various levels of congestion. It is a computationally efficient and scalable method that is suitable to evaluate congestion for large-scale networks. Additionally, this paper generalizes the concept of blocking: blocking events can be triggered by an arbitrary set of queues. This generalization allows for a variety of blocking phenomena to be modeled.

Suggested Citation

  • Osorio, Carolina & Bierlaire, Michel, 2012. "A tractable analytical model for large-scale congested protein synthesis networks," European Journal of Operational Research, Elsevier, vol. 219(3), pages 588-597.
    • Handle: RePEc:eee:ejores:v:219:y:2012:i:3:p:588-597
    DOI: 10.1016/j.ejor.2011.10.037
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    References listed on IDEAS

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    1. Altiok, Tayfur, 1982. "Approximate analysis of exponential tandem queues with blocking," European Journal of Operational Research, Elsevier, vol. 11(4), pages 390-398, December.
    2. Papadopoulos, H. T. & Heavey, C., 1996. "Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines," European Journal of Operational Research, Elsevier, vol. 92(1), pages 1-27, July.
    3. Kerbache, Laoucine & Smith, J. MacGregor, 2000. "Multi-objective routing within large scale facilities using open finite queueing networks," European Journal of Operational Research, Elsevier, vol. 121(1), pages 105-123, February.
    4. Yves Dallery & Yannick Frein, 1993. "On Decomposition Methods for Tandem Queueing Networks with Blocking," Operations Research, INFORMS, vol. 41(2), pages 386-399, April.
    5. Jun, Kyung P. & Perros, Harry G., 1990. "An approximate analysis of open tandem queueing networks with blocking and general service times," European Journal of Operational Research, Elsevier, vol. 46(1), pages 123-135, May.
    6. Stanley B. Gershwin, 1987. "An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking," Operations Research, INFORMS, vol. 35(2), pages 291-305, April.
    7. Laoucine Kerbache & J. Macgregor Smith, 2000. "Multi-objective routing within large scale facilities using open finite queueing networks," Post-Print hal-00798811, HAL.
    8. Tayfur Altiok, 1989. "Approximate Analysis of Queues in Series with Phase-Type Service Times and Blocking," Operations Research, INFORMS, vol. 37(4), pages 601-610, August.
    9. Osorio, Carolina & Bierlaire, Michel, 2009. "An analytic finite capacity queueing network model capturing the propagation of congestion and blocking," European Journal of Operational Research, Elsevier, vol. 196(3), pages 996-1007, August.
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    Cited by:

    1. Carolina Osorio & Michel Bierlaire, 2013. "A Simulation-Based Optimization Framework for Urban Transportation Problems," Operations Research, INFORMS, vol. 61(6), pages 1333-1345, December.
    2. Osorio, Carolina & Wang, Carter, 2017. "On the analytical approximation of joint aggregate queue-length distributions for traffic networks: A stationary finite capacity Markovian network approach," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 305-339.

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