| Presentation | 1994/11/17 A method for finding the firing sequences of Petri nets with linear programming techniques Yasumasa FUJII, Takashi SEKIGUCHI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Finding firing sequences for the reachability problem of Petri nets can be regarded as one of the most important issues in the analysis of discrete event systems. The purpose of this study is to develop a new method for finding firing sequences. First, defining an extended matrix equation with a firing counter vector, the proposed method is formulated as an linear programming problem whose solution can provide sufficient information on the firing sequences within a computational time of polynomial order. Secondly, the sufficient condition for polynomial time complexity in computing a firing counter vector is discussed on the basis of the unimodularity of incidence matrices of Petri nets. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Petri Net / Firing Sequence / Linear Programming / Unimodularity |
| Paper # | CAS94-67,CST94-27 |
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| Conference Information | |
| Committee | CST |
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| Conference Date | 1994/11/17(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Paper Information | |
| Registration To | Concurrent System Technology (CST) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A method for finding the firing sequences of Petri nets with linear programming techniques |
| Sub Title (in English) | |
| Keyword(1) | Petri Net |
| Keyword(2) | Firing Sequence |
| Keyword(3) | Linear Programming |
| Keyword(4) | Unimodularity |
| 1st Author's Name | Yasumasa FUJII |
| 1st Author's Affiliation | Division of Electrical and Computer Engineering, Yokohama National University() |
| 2nd Author's Name | Takashi SEKIGUCHI |
| 2nd Author's Affiliation | Division of Electrical and Computer Engineering, Yokohama National University |
| Date | 1994/11/17 |
| Paper # | CAS94-67,CST94-27 |
| Volume (vol) | vol.94 |
| Number (no) | 333 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |