| Presentation | 1996/1/19 The Legal Firing Sequence Problem for Weighted State Machines Keisuke Morita, Toshimasa Watanabe, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The Legal Firing Sequence Problem of Petri nets(LFS for short) is defined by. "Given a Petri net, an initial marking M and a firing count vector X(with each component X(t) denoting the prescribed total firing number of a transition t), find a firing sequenceδ in which each transition t appears exactly X(t) times in δ. It is known that LFS is NP-complete and that LFS restricted to a state machine can be solved in O(|X|) time. First, we prove that LFS for weighted state machines with two kinds of edge weights is NP-complete, where the term "weighted" means that some edge weights may be greater than 1. Secibdly, we show that the Eulerian LFS for a similar state machine can be polynomially solvable if a state machine has a structure called a necklace. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Petri Nets / State Machines / Legal Firing Sequence Problems / Polynomial-Time Algorithms / NP-Completeness |
| Paper # | CST95-33 |
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| Conference Information | |
| Committee | CST |
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| Conference Date | 1996/1/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Vice Chair | |
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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) | The Legal Firing Sequence Problem for Weighted State Machines |
| Sub Title (in English) | |
| Keyword(1) | Petri Nets |
| Keyword(2) | State Machines |
| Keyword(3) | Legal Firing Sequence Problems |
| Keyword(4) | Polynomial-Time Algorithms |
| Keyword(5) | NP-Completeness |
| 1st Author's Name | Keisuke Morita |
| 1st Author's Affiliation | Department of Circuits and Systems, Faculty of Engineering, Hiroshima University() |
| 2nd Author's Name | Toshimasa Watanabe |
| 2nd Author's Affiliation | Department of Circuits and Systems, Faculty of Engineering, Hiroshima University |
| Date | 1996/1/19 |
| Paper # | CST95-33 |
| Volume (vol) | vol.95 |
| Number (no) | 471 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |