Name
Abstract | ||
|---|---|---|
We consider only P-invariants that are nonnegative integer vectors. A P-invariant of a Petri net N=(P, T, E, α, β) is a |P|-dimensional vector Y with Y†·A=0 for the place-transition incidence matrix A of N. The support of an invariant is the set of elements having nonzero values in the vector. Since any invariant is expressed as a linear combination of minimal-support invariants (MS-invariants) with nonnegative rational coefficients, it is common to try to obtain either several invariants or the set of all MS-invariants. The Fourier-Motzkin method (FM) is wellknown for computing a set of invariants including all MS-invariants, but it has critical deficiencies. We propose the following two methods: (1) FM1_m2 that finds a smallest possible set of invariants including all MS-invariants; and (2) STFM_T_ that necessarily produces one or more invariants if they exist. Experimental results are given to show their superiority over existing ones |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1109/ICSMC.2001.972977 | SMC |
Keywords | Field | DocType |
petri nets,invariance,fourier-motzkin method,incidence matrix,invariants,minimal siphon-traps,petri net,vectors,yttrium | Integer,Discrete mathematics,Linear combination,Combinatorics,Petri net,Invariant (physics),Stochastic Petri net,Invariant (mathematics),Mathematics,Incidence matrix | Conference |
Volume | ISSN | ISBN |
4 | 1062-922X | 0-7803-7087-2 |
Citations | PageRank | References |
1 | 0.38 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takano, K. | 1 | 1 | 0.38 |
| Taoka, S. | 2 | 1 | 0.38 |
| Yamauchi, M. | 3 | 3 | 0.86 |
| T. Watanabe | 4 | 252 | 51.28 |