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- W2113418311 abstract "<para xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> The importance of siphons is well recognized in the analysis and control of deadlocks in a Petri net. To minimize the number of siphons that have to be explicitly controlled, siphons in a net are divided in a net into elementary and dependent ones. The concepts of token-rich, token-poor, and equivalent siphons are newly presented. More general conditions under which a dependent siphon can be always marked are established. The existence of dependent siphons in a Petri net is investigated. An algorithm is developed to find the set of elementary siphons in a net system for deadlock control purposes. The application of the proposed elementary siphon concept to the existing deadlock control policies is discussed. A few different-sized manufacturing examples are used to demonstrate the advantages of elementary siphon-based policies. The significant value of the proposed theory via a particular deadlock control policy is shown. Finally, some interesting and open problems are discussed. </para>" @default.
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- W2113418311 date "2008-01-01" @default.
- W2113418311 modified "2023-10-16" @default.
- W2113418311 title "Control of Elementary and Dependent Siphons in Petri Nets and Their Application" @default.
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- W2113418311 doi "https://doi.org/10.1109/tsmca.2007.909548" @default.
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