By Pravin Varaiya (auth.), Susanna Donatelli, Jetty Kleijn (eds.)
This booklet constitutes the refereed lawsuits of the twentieth overseas convention on program and thought of Petri Nets, ICATPN'99, held in Williamsburg, Virginia, united states, in June 1999.
The 21 revised complete papers offered have been rigorously chosen from forty five submissions. additionally integrated are 3 invited displays. The booklet offers state of the art examine effects on all present facets of Petri nets in addition to complicated purposes in numerous components.
Read Online or Download Application and Theory of Petri Nets 1999: 20th International Conference, ICATPN’99 Williamsburg, Virginia, USA, June 21–25, 1999 Proceedings PDF
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Additional info for Application and Theory of Petri Nets 1999: 20th International Conference, ICATPN’99 Williamsburg, Virginia, USA, June 21–25, 1999 Proceedings
The algorithm is based on sets of one-token SM-Components, assigning to each place in an SM-Component a unique Boolean function. Section 5 extends the encoding methodology to any bounded PN by using general P-invariants. Each potential token configuration in a P-invariant is assigned a unique Boolean function. Additionally, P-invariants allow to determine a set of Potentially Reachable Markings. In Section 6 we show that computing a conservative set of unreachable markings may help to further improve the analysis of PNs.
A key result for the contribution of this work is the following : Let Ni = Pi , Ti , Wi , M0 i be a SM-Component of a Petri Net N . Then Ni is a minimal semi-positive Pinvariant of N . The Smith Normal Form  provides an efficient method to derive invariants for bounded PNs. This technique has been introduced by Desel et al.  and generates a basis of all possible invariants (not necessarily minimal or semipositive). A basis of invariants for the PN in Fig. 1(a) is: I1 : 2p1 + 4p2 − p4 = 4 I2 : p1 + p2 + p3 = 3 .
Bryant. Graph-based algorithms for boolean function manipulation. IEEE Trans. , 35(8):677–691, Aug. 1986. 3. R. E. Bryant. Symbolic boolean manipulation with ordered binary-decision diagrams. ACM Comp. , 24(3):393–318, 1992. 4. P. Buchholz. Hierarchical structuring of superposed GSPNs. In Proc. 7th Int. Workshop on Petri Nets and Performance Models (PNPM’97), pages 81–90, St. Malo, France, June 1997. IEEE Comp. Soc. Press. 5. P. Buchholz, G. Ciardo, S. Donatelli, and P. Kemper. Complexity of Kronecker operations on sparse matrices with applications to the solution of Markov models.
Application and Theory of Petri Nets 1999: 20th International Conference, ICATPN’99 Williamsburg, Virginia, USA, June 21–25, 1999 Proceedings by Pravin Varaiya (auth.), Susanna Donatelli, Jetty Kleijn (eds.)