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A hierarchical decomposition of decision process Petri nets for modeling complex systems Cover

A hierarchical decomposition of decision process Petri nets for modeling complex systems

By: Julio Clempner  
Open Access
|Jul 2010

References

  1. Bellman, R. E. (1957). Dynamic Programming, Princeton University Press, Princeton, NJ.
  2. Bouyakoub, S. and Belkhir, A. (2008). H-SMIL-Net: A hierarchical Petri net model for SMIL documents, 10-th International Conference on Computer Modeling and Simulation, Cambridge, UK, pp. 106-111.
  3. Buchholz, P. (1994). Hierarchical high level Petri nets for complex system analysis, in R. Valette(Ed.) Application and Theory of Petri Nets, Lecture Notes in Computer Science, Vol. 815, Springer, Zaragoza, pp. 119-138.10.1007/3-540-58152-9_8
  4. Clempner, J., Medel, J. and Cârsteanu, A. (2005a). Extending games with local and robust Lyapunov equilibrium and stability condition, International Journal of Pure and Applied Mathematics 19(4): 441-454.
  5. Clempner, J. (2005b). Optimizing the decision process on Petri nets via a Lyapunov-like function, International Journal of Pure and Applied Mathematics 19(4): 477-494.
  6. Clempner, J. (2005c). Colored decision process Petri nets: Modeling, analysis and stability, International Journal of Applied Mathematics and Computer Science 15(3): 405-420.
  7. Dai, X., Li, A. J. and Meng, Z. (2009). Hierarchical Petri net modelling of reconfigurable manufacturing systems with improved net rewriting systems, International Journal of Computer Integrated Manufacturing 22(2): 158-177.10.1080/09511920802014904
  8. Gomes, L. and Barros, J. P. (2005). Structuring and composability issues in Petri nets modeling, IEEE Transactions on Industrial Informatics 1(2): 112-123.10.1109/TII.2005.844433
  9. Hammer, M. and Champy, J. (1993). Reengineering the Corporation: A Manifesto for Business Revolution, HarperBusiness, New York, NY.10.1016/S0007-6813(05)80064-3
  10. Howard, R. A. (1960). Dynamic Programming and Markov Processes, MIT Press, Cambridge, MA.
  11. Huber, P., Jensen, K. and Shapiro, R. (1990). Hierarchies in colored Petri nets, Lecture Notes in Computer Science Vol. 483, Springer-Verlag, pp. 313-341.
  12. Jensen, K. (1992). Coloured Petri Nets. Basic Concepts, Analysis Methods and Practical Use, Vol. 1: Basic Concepts, EATCS Monographs in Theoretical Computer Science, Springer-Verlag, New York, NY.10.1007/978-3-662-06289-0
  13. Kalman, R. E. and Bertram, J. E. (1960). Control system analysis and design via the second method of Lyapunov, Journal of Basic Engineering 82: 371-393.10.1115/1.3662604
  14. Lakshmikantham, V., Leela, S. and Martynyuk, A. A. (1990). Practical Stability of Nonlinear Systems, World Scientific, Singapore.10.1142/1192
  15. Lakshmikantham, V., Matrosov, V. M. and Sivasundaram, S. (1991). Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems, Kluwer Academic Publishers, Dordrecht.10.1007/978-94-015-7939-1
  16. Murata, T. (1989). Petri nets: Properties, analysis and applications, Proceedings of the IEEE 77 (4): 541-580.10.1109/5.24143
  17. Passino, K. M., Burguess, K. L. and Michel, A. N. (1995). Lagrange stability and boundedness of discrete event systems, Journal of Discrete Event Systems: Theory and Applications 5(5): 383-403.10.1007/BF01439154
  18. Puterman, M. L. (1994). Markov Decision Processes: Discrete Stochastic Dynamic Programming, Wiley, New York, NY.10.1002/9780470316887
DOI: https://doi.org/10.2478/v10006-010-0026-2 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 349 - 366
Published on: Jul 2, 2010
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2010 Julio Clempner, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 20 (2010): Issue 2 (June 2010)