Matching observed behavior and modeled behavior: An approach based on Petri nets and integer programming

2006 ◽  
Vol 42 (3) ◽  
pp. 1843-1859 ◽  
Author(s):  
Wil M.P. van der Aalst
Keyword(s):  
Integer Programming ◽  
Petri Nets ◽  
Observed Behavior

Verification of bounded Petri nets using integer programming

2006 ◽  
Vol 30 (2) ◽  
pp. 143-176 ◽  
Author(s):  
Victor Khomenko ◽  
Maciej Koutny
Keyword(s):  
Integer Programming ◽  
Petri Nets

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.

Petri Nets Identification Techniques for Automated Modelling of Discrete Event Processes

2019 ◽  
pp. 1461-1478
Author(s):  
Edelma Rodriguez-Perez ◽  
Ernesto Lopez-Mellado
Keyword(s):  
Reverse Engineering ◽  
Petri Nets ◽  
Petri Net ◽  
Discrete Event ◽  
Reactive System ◽  
Input Output ◽  
Event Models ◽  
Identification Techniques ◽  
Current Behavior ◽  
Observed Behavior

One of the ways to perform the reverse engineering of a reactive system is to analyze the model of such a system. However, this model could not exist, or the documentation could not be updated; then a model that describes the current behavior of the system has to be built. Automated modelling of reactive discrete event processes can be achieved through identification techniques, which yield suitable discrete event models from the observed behavior in the form of input-output sequences. This chapter presents an overview of input-output identification techniques that build Petri net models.

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
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