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Control and synchronization in switched arrival systems Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513,
 

Summary: Control and synchronization in switched arrival systems
Bart Rem
Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513,
5600 MB Eindhoven, The Netherlands
Dieter Armbrustera)
Department of Mathematics, Arizona State University, Tempe, Arizona 85287-1804
Received 16 April 2002; accepted 13 June 2002; published 21 February 2003
A chaotic model of a production flow called the switched arrival system is extended to include
switching times and maintenance. The probability distribution of the chaotic return times is
calculated. Scheduling maintenance, loss of production due to switching, and control of the chaotic
dynamics is discussed. A coupling parameter to couple switched arrival systems serially, based on
lost production, is identified. Simulations of three parallel and three serial levels were performed.
Global synchronization of the switching frequencies between serial levels is achieved. An analytic
model allows one to predict the self-balancing properties of the serial system. 2003 American
Institute of Physics. DOI: 10.1063/1.1500284
Simple abstractions of real production systems in facto-
ries have previously been shown to lead to chaotic behav-
ior. Specifically, a system of parallel machines with one
switching server shows chaotic switching behavior. Since
that model is lossless, the chaotic dynamics does not in-

  

Source: Armbruster, Dieter - Department of Mathematics and Statistics, Arizona State University

 

Collections: Mathematics