February 11, 2018

Applications and Theory of Petri Nets 2003: 24th by Kurt Jensen (auth.), Wil M. P. van der Aalst, Eike Best PDF

By Kurt Jensen (auth.), Wil M. P. van der Aalst, Eike Best (eds.)

ISBN-10: 3540403345

ISBN-13: 9783540403340

ISBN-10: 3540449191

ISBN-13: 9783540449195

This ebook constitutes the refereed court cases of the twenty fourth foreign convention on functions and thought of Petri Nets, ICATPN 2003, held in Eindhoven, The Netherlands in June 2003.

The 25 revised complete papers provided including 6 invited contributions have been rigorously reviewed and chosen from seventy seven submissions. All present concerns on learn and improvement within the sector of Petri nets are addressed, specifically concurrent platforms layout and research, version checking, networking, company method modeling, formal tools in software program engineering, agent structures, platforms specification, platforms validation, discrete occasion structures, protocols, and prototyping.

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Extra info for Applications and Theory of Petri Nets 2003: 24th International Conference, ICATPN 2003 Eindhoven, The Netherlands, June 23–27, 2003 Proceedings

Example text

Chaoui, and B. Zouari. Supervisory control of discrete event systems based on structure of Petri nets. In Procs of the 1997 Int. Conf. on Systems, Man and Cybernetics, pages 3750–3755, Oralndo (USA), October 1997. 3. F. Chu and X. Xie. Deadlock analysis of petri nets using siphons and mathematical programming. IEEE Transactions on Robotics and Automation, 13(6):793–804, December 1997. 4. J. M. Colom, and J. Mart´ınez. A Petri net based deadlock prevention policy for flexible manufacturing systems.

The (integer) linear relaxation σ m ⇒ m = m0 + C · σ ≥ 0, σ ≥ 0 where m is reachable looks as follows: m0 −→ from m0 firing σ, σ is the Parikh (or firing count) vector of σ and C the incidence matrix of the net, N . This linear system is known as the state equation of the net system. Unfortunately, the reverse of the above implication is not true. More precisely, the state equation has integer solutions, (m, σ), not reachable on the net system. We call them spurious solutions. A set of places D is a siphon if and only if • D ⊆ D• .

As an example, consider the S 4 P R in Figure 3, and its reachable marking m = 2 · P 1 0 +2 · P 1 2 +R1 +R2 +4 · P 2 0. Transition T 3 is dead at m, and the siphon D = {R2, P 1 3, P 2 1} satisfies the conditions of the Theorem 2: R2 is preventing the firing of T 3, which is m–process–enabled; moreover, all process places in D have zero tokens. The previous non–liveness characterization has been used to define deadlock prevention control policies to make live the original net system [20,11]. The first step is to compute a bad siphon and a marking m satisfying the conditions of the The Resource Allocation Problem T1 T7 T1 31 T7 R1 R1 P2_2 P1_1 P2_2 P1_1 P2_0 T2 P2_0 T6 P1_0 T2 P1_0 _2 P1_2 R2 _3 _2 _3 pD1_R T5 R2 P2_1 T5 T3 _5 _5 P1_3 _2 P1_2 P2_1 pD1_S T3 T6 _2 P1_3 T4 T4 Fig.

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Applications and Theory of Petri Nets 2003: 24th International Conference, ICATPN 2003 Eindhoven, The Netherlands, June 23–27, 2003 Proceedings by Kurt Jensen (auth.), Wil M. P. van der Aalst, Eike Best (eds.)


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