Proposal of Two Measures of Complexity Based on Lempel-Ziv for Dynamic Systems: An Application for Manufacturing Systems. (29th January 2018)

• Record Type: Journal Article
• Authors: Alfaro, Miguel; Vargas, Manuel; Fuertes, Guillermo; Sepúlveda-Rojas, Juan Pedro
• Other Names: Blakely Jonathan N. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-01-29
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/8692146
• Languages: English
• ISSNs: 1024-123X

Abstract

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.