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

Miguel Alfaro, Manuel Vargas, Guillermo Fuertes*, Juan Pedro Sepúlveda-Rojas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

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.

Original languageEnglish
Article number8692146
JournalMathematical Problems in Engineering
Volume2018
DOIs
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© 2018 Miguel Alfaro et al.

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering

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