Towards a Relationship Between the Routing Flexibility and the Dynamic Complexity of a Manufacturing System

Alfaro, Miguel; Charpentier, Patrick; Martin, Patrick

doi:10.1016/s1474-6670(17)39523-x

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2018

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“…With regard to the measures of the dynamic complexity applied to the manufacturing systems, in [18] the fractal dimension of Lyapunov are described, obtained as of the Kaplan-Yorke conjecture, and the relation between the dynamic complexity and the flexibility in a production system is studied. Wu et al [19] analyzed the relation between the operational complexity and the costs of the inventories.…”

Section: Introductionmentioning

confidence: 99%

Proposal of Two Measures of Complexity Based on Lempel-Ziv for Dynamic Systems: An Application for Manufacturing Systems

Alfaro

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et al. 2018

Mathematical Problems in Engineering

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The measure of complexity of Lempel-Ziv (LZC) is used for the analysis of time series generated by dynamic systems with the objective of determining its complexity. This work measures LZC of different series coming from periodic functions, probabilistic functions, and chaotic systems. Later, these metrics of complexity are applied to the average of the number of parts in the waiting line in a manufacturing workshop. The results demonstrate the efficiency of the LZC to establish the level of the dynamic behavior of the manufacturing systems, through the time series.

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Section: Introductionmentioning

confidence: 99%