Event-triggered boundary control of a continuum model of highly re-entrant manufacturing systems

Automatica ◽  
2021 ◽  
Vol 134 ◽  
pp. 109902
Author(s):  
Mamadou Diagne ◽  
Iasson Karafyllis
Author(s):  
Bhathiya Rathnayake ◽  
Mamadou Diagne ◽  
Nicolas Espitia ◽  
Iasson Karafyllis

2018 ◽  
Vol 41 (5) ◽  
pp. 1373-1382
Author(s):  
Bing Sun ◽  
Mi-Xia Wu

In this paper, we are concerned with the optimal boundary control of a continuum model for a highly re-entrant manufacturing system. Using the Dubovitskii–Milyutin functional analytical approach, we establish the Pontryagin maximum principles for the optimal boundary control problems in both fixed and free final time horizon cases. A remark is then made about the application of the obtained results.


2011 ◽  
Vol 2011 ◽  
pp. 1-17
Author(s):  
Fenglan He ◽  
Ming Dong ◽  
Dong Yang

In order to obtain the better analysis of the multiple reentrant manufacturing systems (MRMSs), their modeling and analysis from both micro- and macroperspectives are considered. First, this paper presents the discrete event simulation models for MRMS and the corresponding algorithms are developed. In order to describe MRMS more accurately, then a modified continuum model is proposed. This continuum model takes into account the re-entrant degree of products, and its effectiveness is verified through numerical experiments. Finally, based on the discrete event simulation and the modified continuum models, a numerical example is used to analyze the MRMS. The changes in the WIP levels and outflux are also analyzed in details for multiple re-entrant supply chain networks. Meanwhile, some interesting observations are discussed.


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