Abstract

The purpose of the present work is to study the chaotic behavior in a flexible assembly line of a manufacturing system. A flexible assembly line can accommodate a variety of product types. Result analysis is performed to obtain time persistent data. The behavior of the system is observed for Work-In-Process, as assembling systems are sensitive during processing. It is found that the average Lyapunov exponent is positive in the considered case, and thus chaotic behavior may be present in flexible assembly lines.

Highlights

  • Due to the rapid recent development in assembling technologies and advancement in assembling methods, there is a need to critically investigate, and understand, an assembly system’s environment

  • It is easier to control more difficult and complicated cases compared to using traditional methods which are being utilized for a long time in manufacturing

  • It is concluded that flexible assembly lines may have a chaotic behavior as very small changes may lead to deviations in performance indicators such as WIP

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Summary

Introduction

Due to the rapid recent development in assembling technologies and advancement in assembling methods, there is a need to critically investigate, and understand, an assembly system’s environment. During the last few decades, chaos theory has been applied in manufacturing systems and some initial research was carried out to analyze chaotic behavior in [1]. It is known that chaos is the phenomena of occurrence of bounded non-periodic evolution in completely deterministic nonlinear dynamical systems with high sensitive dependence on initial conditions. The chaotic behavior generates a kind of randomness and a loss of information about initial conditions, which might explain somewhat complex behavior in real systems. A system that is chaotic has a long-term behavior that can be hard to predict or simulate. It is easier to control more difficult and complicated cases compared to using traditional methods which are being utilized for a long time in manufacturing

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