| Paper Abstract and Keywords |
| Presentation |
2005-01-27 11:15
Linear Programming-based Computation of Petri Net Invariants with Supports Containing Specified Places
Atsushi Iriboshi, Satoshi Taoka, Toshimasa Watanabe (Hiroshima Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
A $P$-invariant of a Petri net $ N = (P,T,E,\alpha,\beta) $ is a
$|P|$-dimensional vector $Y$ with $Y^{tr}\cdot A = \bar{0}$ for the
place-transition incidence matrix $A$ of $N$.
The Fourier-Motzkin method is well-known for computing all
such invariants. 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.
On the other hand, a linear programming-based method
produces all or a few minimal support invariants one by one.
Major improvements required for this method are speeding up and
avoiding computational errors. In this paper, we propose a linear programming-based algorithm for the computation of minimal support invariants with supports containing specified places. It is shown, through
experimental results, that this algorithm can be effective and is worth
investigating. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Petri nets / P-invariants / minimal supports / specified place / a linear programming / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 104, Jan. 2005. |
| Paper # |
|
| Date of Issue |
2005-01-20 (CST) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
MSS |
| Conference Date |
2005-01-27 - 2005-01-27 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Univ. of Electro-Communications |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Concurrent system, etc. |
| Paper Information |
| Registration To |
MSS |
| Conference Code |
2005-01-CST |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Linear Programming-based Computation of Petri Net Invariants with Supports Containing Specified Places |
| Sub Title (in English) |
|
| Keyword(1) |
Petri nets |
| Keyword(2) |
P-invariants |
| Keyword(3) |
minimal supports |
| Keyword(4) |
specified place |
| Keyword(5) |
a linear programming |
| Keyword(6) |
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| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Atsushi Iriboshi |
| 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 |
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Hiroshima University (Hiroshima Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2005-01-27 11:15:00 |
| Presentation Time |
25 minutes |
| Registration for |
MSS |
| Paper # |
CST2004-42 |
| Volume (vol) |
vol.104 |
| Number (no) |
no.593 |
| Page |
pp.19-24 |
| #Pages |
6 |
| Date of Issue |
2005-01-20 (CST) |
|