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Reachability of nonsynchronized choice Petri nets and its applications
1Department of Management and Information Science, National Cheng Chi University, Taipei, Taiwan. yaw@mis.nccu.edu.tw
Summary
A novel second-order structure introduces synchronized choice nets (SNC), simplifying reachability analysis. This advancement offers polynomial time complexity for well-behaved free choice nets and applications in manufacturing systems.
Area of Science:
- Computer Science
- Control Theory
Background:
- Free choice nets are a significant class of Petri nets used in modeling concurrent systems.
- Reachability analysis in traditional free choice nets is computationally complex (P-Space hard).
Purpose of the Study:
- To introduce a new class of nets, synchronized choice nets (SNC), based on a second-order structure.
- To improve the computational complexity of reachability analysis for a subset of free choice nets.
- To explore extensions of SNC and their application in deadlock detection for flexible manufacturing systems.
Main Methods:
- Definition of a second-order structure.
- Introduction and formalization of synchronized choice nets (SNC).
- Analysis of reachability problem complexity for SNC.
Main Results:
- SNC provides a framework for well-behaved free choice nets.
- Reachability analysis for SNC is reduced from P-Space hard to polynomial time complexity.
- The study discusses extensions to non-SNC and deadlock detection applications.
Conclusions:
- The proposed second-order structure and SNC offer a more efficient approach to analyzing certain classes of concurrent systems.
- SNC provides a valuable tool for modeling and analysis, particularly in the context of flexible manufacturing systems and deadlock detection.
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