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The elementary flux modes of a manufacturing system: a novel approach to explore the relationship of network structure and function

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  • Mirja Meyer
  • Marc-Thorsten Hütt
  • Julia Bendul

Abstract

Elementary flux modes (EFMs) are a concept from Systems Biology, where they serve as an indicator of component relevance in metabolic networks. An elementary flux mode is a functionally relevant, non-decomposable path through a given network. In this paper, we apply elementary flux mode analysis to manufacturing systems, with the aim of using the number of EFMs as a predictor for resource significance in the manufacturing system. For this, we formulate a network representation of a manufacturing process, which allows us to define the manufacturing equivalent of a stoichiometric matrix to draw an analogy between metabolic and manufacturing systems. This, in turn, allows the computation of EFMs, which we conduct in a case-study for a real manufacturing system. We further show that the change of EFMs under resource breakdown is a good indicator of the average order lateness in the manufacturing system. In this way, EFMs provide insight into the relationship of network structure and function in manufacturing.

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  • Mirja Meyer & Marc-Thorsten Hütt & Julia Bendul, 2016. "The elementary flux modes of a manufacturing system: a novel approach to explore the relationship of network structure and function," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4145-4160, July.
    • Handle: RePEc:taf:tprsxx:v:54:y:2015:i:14:p:4145-4160
    DOI: 10.1080/00207543.2015.1106612
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    1. Jörg Stelling & Steffen Klamt & Katja Bettenbrock & Stefan Schuster & Ernst Dieter Gilles, 2002. "Metabolic network structure determines key aspects of functionality and regulation," Nature, Nature, vol. 420(6912), pages 190-193, November.
    2. Crucitti, Paolo & Latora, Vito & Marchiori, Massimo & Rapisarda, Andrea, 2004. "Error and attack tolerance of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 388-394.
    3. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    4. Lindau, Roger A. & Lumsden, Kenth R., 1995. "Actions taken to prevent the propagation of disturbances in manufacturing systems," International Journal of Production Economics, Elsevier, vol. 41(1-3), pages 241-248, October.
    5. Kleijnen, Jack P.C. & Pierreval, H. & Zhang, J., 2009. "When is the design of a manufacturing system acceptable in the presence of uncertainty?," Other publications TiSEM 58fba7c4-8fd2-44d4-8ec3-f, Tilburg University, School of Economics and Management.
    6. Kusiak, Andrew & Heragu, Sunderesh S., 1987. "The facility layout problem," European Journal of Operational Research, Elsevier, vol. 29(3), pages 229-251, June.
    7. Wei, Du Qu & Luo, Xiao Shu & Zhang, Bo, 2012. "Analysis of cascading failure in complex power networks under the load local preferential redistribution rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2771-2777.
    8. H. Jeong & B. Tombor & R. Albert & Z. N. Oltvai & A.-L. Barabási, 2000. "The large-scale organization of metabolic networks," Nature, Nature, vol. 407(6804), pages 651-654, October.
    9. Till Becker & Mirja Meyer & Katja Windt, 2014. "A manufacturing systems network model for the evaluation of complex manufacturing systems," International Journal of Productivity and Performance Management, Emerald Group Publishing Limited, vol. 63(3), pages 324-340, April.
    10. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Cited by:

    1. Yanlin Shi & Qingjin Peng, 2023. "Conceptual design of product structures based on WordNet hierarchy and association relation," Journal of Intelligent Manufacturing, Springer, vol. 34(6), pages 2655-2671, August.

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