![](/images/graphics-bg.png)
Computationally Improved Optimal Control Methodology for Linear Programming Problems of Flexible Manufacturing Systems
Joint Authors
Jeng, Mu-Der
Weng, Yi-Shun
Pan, Yen-Liang
Huang, Yi-Sheng
Wu, Weimin
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Deadlock prevention policies are used to solve the deadlock problems of FMSs.
It is well known that the theory of regions is the efficient method for obtaining optimal (i.e., maximally permissive) controllers.
All legal and live maximal behaviors of Petri net models can be preserved by using marking/transition-separation instances (MTSIs) or event-state-separation-problem (ESSP) methods.
However, they encountered great difficulties in solving all sets of inequalities that is an extremely time consuming problem.
Moreover, the number of linear programming problems (LPPs) of legal markings is also exponential with net size when a plant net grows exponentially.
This paper proposes a novel methodology to reduce the number of MTSIs/ESSPs and LPPs.
In this paper, we used the well-known reduction approach Murata (1989) to simply the construct of system such that the problem of LPPs can then be reduced.
Additionally, critical ones of crucial marking/transition-separation instances (COCMTSI) are developed and used in our deadlock prevention policy that allows designers to employ few MTSIs to deal with deadlocks.
Experimental results indicate that the computational cost can be reduced.
To our knowledge, this deadlock prevention policy is the most efficient policy to obtain maximal permissive behavior of Petri net models than past approaches.
American Psychological Association (APA)
Pan, Yen-Liang& Huang, Yi-Sheng& Weng, Yi-Shun& Wu, Weimin& Jeng, Mu-Der. 2013. Computationally Improved Optimal Control Methodology for Linear Programming Problems of Flexible Manufacturing Systems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-461171
Modern Language Association (MLA)
Pan, Yen-Liang…[et al.]. Computationally Improved Optimal Control Methodology for Linear Programming Problems of Flexible Manufacturing Systems. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-461171
American Medical Association (AMA)
Pan, Yen-Liang& Huang, Yi-Sheng& Weng, Yi-Shun& Wu, Weimin& Jeng, Mu-Der. Computationally Improved Optimal Control Methodology for Linear Programming Problems of Flexible Manufacturing Systems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-461171
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461171