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Paper Abstract and Keywords
Presentation 2005-08-22 13:25
Enumerating basic siphons in Petri net using Fourier-Motzkin like method
Atsushi Ohta (Aichi Pref. Univ.), Masaya Mizoguchi (Hurxley), Kohkichi Tsuji (Aichi Pref. Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Petri net is an effective modeling tool for concurrent systems. A siphon and a trap are the subsets of place that can be are used for analyses of various problems of Petri nets. A siphon that is not expressed as a union of other siphons is called a basic siphon. Some methods of enumerating all or some of basic siphons of a Petri net have been proposed. Esparza et al showed that basic siphons are obtained as invariants of a matrix that is constructed with incidence matrices of the Petri net. The former can be enumerated by the Fourier-Motzkin method. In this report, enumerating basic siphons using Fourier-Motzkin like method is discussed. It uses logic operation instead of arithmetic operation. Experimental result shows that proposed method avoids overflow in calculation and uses less memory space, it is possible to handle larger Petri net.
Keyword (in Japanese) (See Japanese page) 
(in English) Petri net / siphon / trap / Fourier-Motzkin method / / / /  
Reference Info. IEICE Tech. Rep., vol. 105, Aug. 2005.
Paper #  
Date of Issue 2005-08-15 (CST) 
ISSN Print edition: ISSN 0913-5685
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Conference Information
Committee MSS  
Conference Date 2005-08-22 - 2005-08-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Aichi Prefectural University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Concurrent systems, etc. 
Paper Information
Registration To MSS 
Conference Code 2005-08-CST 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Enumerating basic siphons in Petri net using Fourier-Motzkin like method 
Sub Title (in English)  
Keyword(1) Petri net  
Keyword(2) siphon  
Keyword(3) trap  
Keyword(4) Fourier-Motzkin method  
1st Author's Name Atsushi Ohta  
1st Author's Affiliation Aichi Prefectural University (Aichi Pref. Univ.)
2nd Author's Name Masaya Mizoguchi  
2nd Author's Affiliation Hurxley Co.,Ltd. (Hurxley)
3rd Author's Name Kohkichi Tsuji  
3rd Author's Affiliation Aichi Prefectural University (Aichi Pref. Univ.)
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Speaker Author-1 
Date Time 2005-08-22 13:25:00 
Presentation Time 25 minutes 
Registration for MSS 
Paper # CST2005-15 
Volume (vol) vol.105 
Number (no) no.237 
Page pp.7-12 
Date of Issue 2005-08-15 (CST) 

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