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Paper Abstract and Keywords
Presentation 2007-08-31 15:10
Enhancing Stability of the Fourier-Motzkin Method based on Siphon-Trap Extraction of Petri Nets
Tomohiro Chikada, Satoshi Taoka, Toshimasa Watanabe (Hiroshima Univ.) CST2007-16
Abstract (in Japanese) (See Japanese page) 
(in English) For a Petri net = (P,T,E,α,β,), a P-invariant is a |P|-deimentional vector Y with Y^t・A = 0 for the place-transition incidence matrix A of N. The Fourier-Motzkin method is well-known for computing all such minimal-support nonnegative integer invariants(ms-invariants, for short). This method, however, has a critical deficiency such that, even if a give Petri net N has any invariant, it is likely that no invariants are output because of memory overflow in storing intermediary vectors as candidates for invariants. In order to overcome this deficiency, an algorithm STFM_N has been proposed for computation of ms-invariants: it tries to decrease the number of such candidate vectors by restricting computation of invariants to siphon-trap nets that are subnets of N. In this paper, we propose an algorithm STFM_N+, an improved version of STFM_N, by incorporating a new method that extracts siphon-trap nets by taking vertex-degrees of transitions of N into consideration. It is shown, through experiment results, that STFM_N+ can make occurrence of memory overflows less possible than STFM_N, implying that STFM_N+ has higher possibility of finding, if any, at least one ms-invariant.
Keyword (in Japanese) (See Japanese page) 
(in English) Petri nets / P-invariants / minimal supports / memory overflows / siphon-traps / / /  
Reference Info. IEICE Tech. Rep., vol. 107, Aug. 2007.
Paper #  
Date of Issue 2007-08-24 (CST) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF CST2007-16

Conference Information
Committee MSS  
Conference Date 2007-08-31 - 2007-08-31 
Place (in Japanese) (See Japanese page) 
Place (in English) Shimane University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Concurrent Systems, Discrete Event Systems and Hybrid Systems 
Paper Information
Registration To MSS 
Conference Code 2007-08-CST 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Enhancing Stability of the Fourier-Motzkin Method based on Siphon-Trap Extraction of Petri Nets 
Sub Title (in English)  
Keyword(1) Petri nets  
Keyword(2) P-invariants  
Keyword(3) minimal supports  
Keyword(4) memory overflows  
Keyword(5) siphon-traps  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Tomohiro Chikada  
1st Author's Affiliation Hiroshima University (Hiroshima Univ.)
2nd Author's Name Satoshi Taoka  
2nd Author's Affiliation Hiroshima University (Hiroshima Univ.)
3rd Author's Name Toshimasa Watanabe  
3rd Author's Affiliation Hiroshima University (Hiroshima Univ.)
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Speaker Author-1 
Date Time 2007-08-31 15:10:00 
Presentation Time 25 minutes 
Registration for MSS 
Paper # CST2007-16 
Volume (vol) vol.107 
Number (no) no.203 
Page pp.31-36 
#Pages 6 
Date of Issue 2007-08-24 (CST) 

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