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Construction of m-cube mesh networks using Petri nets

Author

Listed:
  • Riddhi Jangid

    (Jawaharlal Nehru University)

  • Gajendra Pratap Singh

    (Jawaharlal Nehru University)

Abstract

Petri nets have been used extensively in behavior modeling of finite state machines for a very long time since it is more expressible and gives parallelism in the designing of models. The problem of analysis in concurrent systems has been a field of interest for many researchers. Still, only reachability and its systematic enumeration were proven to be useful because of simplified concepts and easy applicability. This article shows the reachability in concurrent nets and topological properties reflected in its reachability analysis. It also discusses how a reachability tree is reduced to a graph by homomorphism and how we can find multi-dimensional topological networks with a class of Petri nets.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:ijsaem:v:14:y:2023:i:1:d:10.1007_s13198-022-01849-1
    DOI: 10.1007/s13198-022-01849-1
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    References listed on IDEAS

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    1. 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.
    2. Madhuri Jha & Mamtesh Singh & Gajendra Pratap Singh, 2022. "Modeling of second-line drug behavior in the treatment of tuberculosis using Petri net," 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. 13(2), pages 810-819, June.
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    Cited by:

    1. 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.

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    3. 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.

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