Journal
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
Volume 8, Issue 1, Pages 179-188Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JAS.2020.1003477
Keywords
Discrete event system; resource allocation; timed Petri net; weighted marked graph
Categories
Funding
- National Natural Science Foundation of China [61803246, 61703321]
- China Postdoctoral Science Foundation [2019M663608]
- Shaanxi Provincial Natural Science Foundation [2019JQ-022, 2020JQ-733]
- Fundamental Research Funds for the Central Universities [JB190407]
- Shaanxi Key Laboratory of Complex System Control and Intelligent Information Processing, Xi'an University of Technology [SKL2020CP03]
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Timed weighted marked graphs are a subclass of timed Petri nets that have wide applications in flexible manufacturing systems. This paper presents a method to transform a timed weighted marked graph into an equivalent parametric timed marked graph for resource optimization. An analytical method is developed to explore optimal resource allocation policies, showing that the developed approach outperforms a heuristic method in simulation analysis.
Timed weighted marked graphs are a subclass of timed Petri nets that have wide applications in the control and performance analysis of flexible manufacturing systems. Due to the existence of multiplicities (i.e., weights) on edges, the performance analysis and resource optimization of such graphs represent a challenging problem. In this paper, we develop an approach to transform a timed weighted marked graph whose initial marking is not given, into an equivalent parametric timed marked graph where the edges have unitary weights. In order to explore an optimal resource allocation policy for a system, an analytical method is developed for the resource optimization of timed weighted marked graphs by studying an equivalent net. Finally, we apply the proposed method to a flexible manufacturing system and compare the results with a previous heuristic approach. Simulation analysis shows that the developed approach is superior to the heuristic approach.
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