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Net operations (II)—The iterated addition operation of Petri nets

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Abstract

This paper presents the iterated addition operation of Petri nets and discusses its application in analysis and synthesis of cycle type systems and star type systems. A group of necessary and sufficient conditions for analysis of structural properties is obtained. In addition sufficient conditions for general systems are obtained.

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References

  1. Mandrioli Det al. Modeling the Ada task system by Petri nets.Comput. Languages, 1985, 10(1): 43–61.

    Article  MathSciNet  Google Scholar 

  2. Shatz S Met al. A Petri net framework for automated static analysis of Ada tasking behavior.J. Syst. Soft., 1988, 8: 343–359.

    Article  Google Scholar 

  3. Diaz M. Modeling and analysis of communication and cooperation protocol using Petri nets based models.Comput. Networks, 1982, 6: 419–441.

    MATH  Google Scholar 

  4. Suzuki Tet al. A protocol modeling and verification approach based on a specification language and Petri nets.IEEE Trans. Soft. Eng., 16: 523–536.

  5. Agerwala Tet al. A synthesis rule for concurrent systems. InProc. 15th Design Automation Conf., 1978, pp.305–311.

  6. Narahari Yet al. A Petri net approach to the modeling and analysis of flexible manufacturing systems.Ann. Oper. Res., 1985, 3: 449–472.

    Article  Google Scholar 

  7. Zhou M Cet al. A hybrid methodology for synthesis of Petri nets for manufacturing systems.IEEE Trans. Robotics Automat., 1992, 8: 350–361.

    Article  Google Scholar 

  8. Murata T. Petri nets: Properties, analysis and applications. InProc. IEEE, Vol. 77, 1989, 541–580.

  9. Berthelot G, Roucairol G. Reduction of Petri nets and parallel programs. InLecture Notes in Comput. Sci., Vol.84, 1980.

  10. Murata T, Koh J Y. Reduction and expansion of live and safe marked graphs.IEEE Trans. Circuit Syst., 1980, 27.

  11. Jiang Changjun, Wu Zhehui. Net operations.J. of Computer Science and Technology, 1992, 7(4): 333–344.

    Article  MATH  MathSciNet  Google Scholar 

  12. Jiang Changjun. Operations for general Cartesian multiplication of Petri nets.Acta Automatica Sinica, 1993, 19(6): 745–749.

    MATH  Google Scholar 

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This work is supported by the National Natural Science Foundation of China

Jiang Changjun received his M.S. degree in computer application from Shandong Mining Institute of Technology. He is currently a Ph.D. candidate of Institute of Automation, The Chinese Academy of Sciences. His research interests include algorithm, Petri nets, analysis of parallel and distributed systems.

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Jiang, C. Net operations (II)—The iterated addition operation of Petri nets. J. of Comput. Sci. & Technol. 10, 509–517 (1995). https://doi.org/10.1007/BF02943509

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  • DOI: https://doi.org/10.1007/BF02943509

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