State equations of stochastic timed petri nets with informational relations
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timed Petri net simulation modeling matrix equationPreview
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- 1.D. A. Zaitsev and A. I. Sleptsov, “State equations and equivalent transformations of timed Petri nets,” Cybernetics and Systems Analysis, 33, No. 5, 659–672 (1997).MathSciNetMATHCrossRefGoogle Scholar
- 2.J. L. Peterson, Petri Net Theory and the Modeling of Systems [Russian translation], Mir, Moscow (1984).Google Scholar
- 3.I. V. Stetsenko, Systems Modeling: A Textbook [in Ukrainian], McLaut, Cherkassy (2011).Google Scholar
- 4.I. V. Stetsenko and A. A. Danilyuk, “Simulation modeling of control systems with Petri nets,” Visn. Cherkas. Derzh. Tekhn. Un-tu, No. 3, 293–295 (2005).Google Scholar
- 5.I. V. Stetsenko and O. V. Boyko, “Simulation modeling system based on Petri nets,” Mat. Mashiny i Sistemy, No. 1, 117–124 (2009).Google Scholar
- 6.I. V. Stetsenko, V. G. Stetsenko, and Yu. M. Difuchin, “Simulation model of the street traffic at a crossroad controlled by traffic lights,” Visn. Cherkas. Derzh. Tekhn. Un-tu, No. 1, 28–32 (2005).Google Scholar
- 7.I. V. Stetsenko, “Simulation modeling of the control system of educational processes at universities/colleges using the object-oriented approach,” Mat. Mashiny I Sistemy, No. 2, 162–170 (2011).Google Scholar
- 8.V. E. Kotov, Petri Nets [in Russian], Nauka, Moscow (1984).Google Scholar
- 9.D. A. Zaitsev, “Construction of a Petri net executing a Turing machine,” in: Proc. IVth Intern. Sci.-Techn. Conf. “Computer mathematics in science, engineering, and education (CMSEE-2010),” Poltava, Izd. NAN Ukrainy, Kiev (2010), pp. 12–14.Google Scholar
- 10.J. Wang, Timed Petri Nets: Theory and Application, Kluwer, Massachusetts (1998).MATHGoogle Scholar
- 11.P. J. Haas, Stochastic Petri Nets: Modelling, Stability, and Simulation, Springer Series in Operations Research (2002).Google Scholar
- 12.A. Law and W. Kelton, Simulation Modeling: Classics of CS [Russian translation], Piter, St. Petersburg and BHV, Kyiv (2004).Google Scholar
- 13.T. Murata, “Petri nets: Properties, analysis, and applications,” in: Proc. IEEE, 77, No. 4, 541–580 (1989).Google Scholar
- 14.D. A. Zaitsev, “Invariants of timed Petri nets,” Cybernetics and Systems Analysis, 40, No. 2, 226–237 (2004).MathSciNetMATHCrossRefGoogle Scholar
- 15.I. V. Stetsenko, “Control systems modeling using Petri nets with informational relations,” Visn. Cherkas. Derzh. Tekhn. Un-tu, No. 3, 3–9 (2011).Google Scholar
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