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On characterizing binary Petri Nets

Author

Listed:
  • Sujit Kumar Singh

    (Jawaharlal Nehru University)

  • Riddhi Jangid

    (Jawaharlal Nehru University)

  • Gajendra Pratap Singh

    (Jawaharlal Nehru University)

Abstract

Modeling using Petri Nets and analyzing discrete systems has played a major role in evaluating systems in diverse areas. It’s graphical nature is what makes Petri Net stand out from other mathematical models. Along with, the structure of binary trees are of great importance like in computing for searching and sorting and also for classification purposes like in decision-making processes. Hence, these two notions can be well synchronized for analyzing many systems. In this article, authors have used Petri Nets and generated their reachability trees that are Binary in nature. Authors have also shown the condition for the Binary reachability tree to be a Complete/Full/Perfect Binary reachability tree using Petri Nets. On the basis of the reachability analysis of Petri Nets, Binary reachability is further characterized and some results are shown.

Suggested Citation

  • Sujit Kumar Singh & Riddhi Jangid & Gajendra Pratap Singh, 2023. "On characterizing binary Petri Nets," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(3), pages 919-929, June.
    • Handle: RePEc:spr:ijsaem:v:14:y:2023:i:3:d:10.1007_s13198-023-01892-6
    DOI: 10.1007/s13198-023-01892-6
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    References listed on IDEAS

    as
    1. Sakshi Gupta & Gajendra Pratap Singh & Sunita Kumawat, 2019. "Petri Net Recommender System to Model Metabolic Pathway of Polyhydroxyalkanoates," International Journal of Knowledge and Systems Science (IJKSS), IGI Global, vol. 10(2), pages 42-59, April.
    2. Gajendra Pratap Singh & Sujit Kumar Singh, 2019. "Petri Net Recommender System for Generating of Perfect Binary Tree," International Journal of Knowledge and Systems Science (IJKSS), IGI Global, vol. 10(2), pages 1-12, April.
    3. Riddhi Jangid & Gajendra Pratap Singh, 2023. "Construction of m-cube mesh networks using Petri nets," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 256-262, March.
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