• DocumentCode
    710542
  • Title

    Closed form formula construction to enumerate control related states of Bottom Left k-net S3PR system (with a Bottom Left side non-sharing resource place) of Petri nets

  • Author

    Chao, Daniel Yuh ; Tsung Hsien Yu

  • Author_Institution
    Dept. of Manage. & Inf. Sci., Nat. Cheng Chi Univ., Taipei, Taiwan
  • fYear
    2015
  • fDate
    9-11 April 2015
  • Firstpage
    480
  • Lastpage
    485
  • Abstract
    Earlier, Chao pioneered the very first closed-form solution of the number of reachable and other states for marked graphs (MG) and k-th order system which is the simplest class of S3PR (Systems of Simple Sequential Processes with Resources). This paper progresses one step further on enumerating reachable (forbidden, live, and deadlock) states for Bottom Left k-net systems (one non-sharing resource place in the Bottom position of the right-side process, below denoted as Bottom-Left-k-net) with a formula depending on parameter k for a subclass of nets with k sharing resources.
  • Keywords
    Petri nets; reachability analysis; MG; Petri nets; bottom left-side nonsharing resource place; bottom position; bottom-left k-net S3PR system; closed form formula construction; control related states enumeration; deadlock statev; forbidden state; k-sharing resources; k-th order system; live state; marked graphs; reachable states; right-side process; systems-of-simple sequential processes-with-resources; Analytical models; Chaos; Closed-form solutions; Flexible manufacturing systems; Petri nets; Reachability analysis; System recovery; Control systems; Petri nets; discrete event systems; flexible manufacturing systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Networking, Sensing and Control (ICNSC), 2015 IEEE 12th International Conference on
  • Conference_Location
    Taipei
  • Type

    conf

  • DOI
    10.1109/ICNSC.2015.7116084
  • Filename
    7116084