Modeling and analysis of a virtual reality system with time Petri nets
Proceedings of the 20th international conference on Software engineering
Efficient algorithms for Petersen's matching theorem
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Reduction Methods for Real-Time Systems Using Delay Time Petri Nets
IEEE Transactions on Software Engineering
Petri Net Theory and the Modeling of Systems
Petri Net Theory and the Modeling of Systems
Hierarchical Reachability Graph of Bounded Petri Nets for Concurrent-Software Analysis
IEEE Transactions on Software Engineering
Graph Theory: Modeling, Applications, and Algorithms
Graph Theory: Modeling, Applications, and Algorithms
Knowledge sharing in dynamic virtual enterprises: A socio-technological perspective
Knowledge-Based Systems
Self-adaptive stepsize search for automatic optimal design
Knowledge-Based Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Supervised and Unsupervised Learning by Using Petri Nets
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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In this paper, an efficient method is presented to solve the state explosion problem in Petri nets by using matching theory. It is difficult to analyze a Petri net when there are too many existing states. In order to solve such a problem, it is addressed to label a weight value on a transition according to the relationship between a place and a transition. Then, the transition with the largest weight value is selected. The selected transition is the most important and connective in the entire Petri net. After selecting each transition for several times, the last one denotes the least connective in the whole Petri net and the redundant place is obtained. Furthermore, the Petri net model can be reduced by fusing the transition with the largest weight value and the redundant place. In this novel approach, an incidence matrix, a weight vector, a matching matrix, a compressed incidence matrix, and a reduced and compressed incidence matrix are sequentially built based on the original Petri net model so as to obtain a reduced and compressed Petri net model. Finally, the experimental results regarding the CAVE automatic virtual reality environment demonstrate the high viability of the proposed approach.