Structure reduction of liveness-enforcing Petri nets using mixed integer programming

2011 ◽  
Vol 14 (2) ◽  
pp. 384-399 ◽  
Author(s):  
Shao-Yong Li ◽  
Zhi-Wu Li
Keyword(s):  
Integer Programming ◽  
Petri Nets ◽  
Mixed Integer Programming ◽  
Mixed Integer

scholarly journals Mixed Integer Programming-Based Liveness Test for FMS with Full Routing Flexibility

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Lida Dong ◽  
Tianyang Chi ◽  
Chengcheng Zhu ◽  
Jun Yin
Keyword(s):  
Integer Programming ◽  
Petri Nets ◽  
Mixed Integer Programming ◽  
Flexible Manufacturing ◽  
Flexible Manufacturing Systems ◽  
Manufacturing Systems ◽  
Mixed Integer ◽  
Routing Flexibility ◽  
Liveness Property

Mixed integer programming (MIP) is an important technique to verify the liveness property of sequential flexible manufacturing systems (FMS) modeled by Petri nets. When there are some fully flexible routings in FMS, the existing MIP-based methods are not suitable for testing their liveness. This paper defines a subclass of S*PR nets firstly, namely, OSC-S*PR nets, and concludes that an OSC-S*PR net is live if there exist no non-max′-controlled siphons. Accordingly, determining whether or not an OSC-S*PR net is live can also be realized by using standardized mixed integer programming (MIP) tools. Furthermore, the liveness property of S*PR nets can be tested in two steps: first, for a given S*PR net, constructing an OSC-S*PR net to ensure that if the latter is live then the former must be live; second, testing liveness of the constructed OSC-S*PR net by the aforementioned MIP-based algorithm. In the end, the performance of the method is demonstrated by an application of FMS.

Computation of an emptiable minimal siphon in a subclass of petri nets using mixed-integer programming

2020 ◽  
pp. 1-8 ◽  
Author(s):  
Shouguang Wang ◽  
Wenli Duo ◽  
Xin Guo ◽  
Xiaoning Jiang ◽  
Dan You ◽  
...  
Keyword(s):  
Integer Programming ◽  
Petri Nets ◽  
Mixed Integer Programming ◽  
Mixed Integer

Non-blocking Supervisory Design Using Mixed Integer Programming

2009 ◽  
Vol 35 (2) ◽  
pp. 180-185
Author(s):  
Mi ZHAO ◽  
Zhi-Wu LI ◽  
Na WEI
Keyword(s):  
Integer Programming ◽  
Mixed Integer Programming ◽  
Mixed Integer
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