- 期刊
- OpenAccess
An Incremental Approach to Extracting Minimal Bad Siphons
並列摘要
Finding all minimal bad siphons is essential for deadlock control. However, the number of siphons grows exponentially with the size of the system. Deadlock occurs due to inappropriate resource sharing. Hence most research focused on the problem of minimal siphon extraction covering a set of places representing resources-an NP-Complete problem for arbitrary Petri Nets. We develop the theory for efficient extraction of minimal bad siphons for S^3PR (systems of simple sequential processes) proposed by Ezpeleta et al. The number of minimal bad siphons that needs to be searched is linear to the number of resources. The rest can be found by adding and deleting common sets of places from existing ones significantly reducing the search time. It is very interesting that both nets and siphons can be synthesized by first locating a circuit followed by adding handles.
被引用紀錄
延伸閱讀
- Stojkovic, N. V., Stanimirovic, P. S., Petkovic, M. D., & Milojkovic, D. S. (2012). On the Simplex Algorithm Initializing. Abstract and Applied Analysis, 2012(), 1024-1038-368. https://doi.org/10.1155/2012/487870
- Zhao, K. Q., & Xia, Y. M. (2014). A Kind of Unified Proper Efficiency in Vector Optimization. Abstract and Applied Analysis, 2014(), 596-600-1060. https://doi.org/10.1155/2014/636907
- Misagh, F. (2016). On Shift-Dependent Cumulative Entropy Measures. International Journal of Mathematics and Mathematical Sciences, 2016(), 235-242. https://doi.org/10.1155/2016/7213285
- 林和（1986）。A Straightforward Physical Interpretation of Empirical Orthogonal Function。大氣科學，13(1)，71-76。https://www.airitilibrary.com/Article/Detail?DocID=02540002-198603-201404160012-201404160012-71-76
- 王栢村、張年華、黃裕仁、張佐銘（2010）。By Experimental Modal Analysis。機械技師學刊，3(2)，14-19。https://doi.org/10.6208/JPME-2010-02-03