Live WS3PR

Ding Liu, Zhiwu Li, Mengchu Zhou

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Most existing prevention methods tackle the deadlock issue arising in flexible manufacturing systems modeled with Petri nets by adding monitors and arcs. Instead, this paper presents a new deadlock prevention method based on a characteristic structure of WS3PR, an extension of System of Simple Sequential of Processes with Resources (S3PR) with weighted arcs. The numerical relationships among weights, and between weights and initial markings are investigated based on simple circuits of resource places, which are the simplest structure of circular wait, rather than siphons. A WS3PR satisfying a proposed restriction is inherently deadlock-free and live by configuring its initial markings. A set of polynomial algorithms are developed to implement the proposed method. Several examples are used to illustrate them.

Original languageEnglish (US)
Title of host publication2nd IFAC Workshop on Dependable Control of Discrete Systems, DCDS'09 - Proceedings
PublisherIFAC Secretariat
Number of pages6
EditionPART 1
ISBN (Print)9783902661449
StatePublished - 2009

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
ISSN (Print)1474-6670

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


  • Circular wait
  • Deadlock prevention
  • Flexible Manufacturing System (FMS)
  • Petri nets
  • Polynomial Algorithms
  • Simple circuit


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