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題名 Uniform Formulas for Compound Siphons, Complementary Siphons and Characteristic Vectors in Deadlock Prevention of Flexible Manufacturing Systems
作者 趙玉
Chao,Daniel Yuh
貢獻者 資管系
關鍵詞 Petri nets; Deadlocks; Supervisory control; Flexible manufacturing systems (FMS); Concurrent systems
日期 2013.03
上傳時間 9-Apr-2014 16:37:43 (UTC+8)
摘要 Unmarked siphons in a Petri net modelling concurrent systems such as those in cloud computing induce deadlocks. The number of siphons grows exponentially with the size of a net. This problem can be relieved by computing compound (or strongly dependent) siphons based on basic siphons. A basic (resp. compound) siphon can be synthesized from an elementary (resp. compound called alternating) resource circuit. It however cannot be extended to cases where two elementary circuits intersect at a directed path rather than a single place (i.e., corresponding to a weakly dependent siphon). This paper develops a uniform formula not only for both cases but also valid for the complementary set of siphon and characteristic vectors. We further propose to generalize it to a compound siphon consisting of n basic siphons. This helps simplify the computation and the computer implementation to shorten the program size. Also, the formula is easier to be memorized without consulting the references due to the same underlying physics.
關聯 Journal of Intelligent Manufacturing, Published online: 24 March 2013
資料類型 article
dc.contributor 資管系en_US
dc.creator (作者) 趙玉zh_TW
dc.creator (作者) Chao,Daniel Yuh-
dc.date (日期) 2013.03en_US
dc.date.accessioned 9-Apr-2014 16:37:43 (UTC+8)-
dc.date.available 9-Apr-2014 16:37:43 (UTC+8)-
dc.date.issued (上傳時間) 9-Apr-2014 16:37:43 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/65225-
dc.description.abstract (摘要) Unmarked siphons in a Petri net modelling concurrent systems such as those in cloud computing induce deadlocks. The number of siphons grows exponentially with the size of a net. This problem can be relieved by computing compound (or strongly dependent) siphons based on basic siphons. A basic (resp. compound) siphon can be synthesized from an elementary (resp. compound called alternating) resource circuit. It however cannot be extended to cases where two elementary circuits intersect at a directed path rather than a single place (i.e., corresponding to a weakly dependent siphon). This paper develops a uniform formula not only for both cases but also valid for the complementary set of siphon and characteristic vectors. We further propose to generalize it to a compound siphon consisting of n basic siphons. This helps simplify the computation and the computer implementation to shorten the program size. Also, the formula is easier to be memorized without consulting the references due to the same underlying physics.en_US
dc.format.extent 495472 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Journal of Intelligent Manufacturing, Published online: 24 March 2013en_US
dc.subject (關鍵詞) Petri nets; Deadlocks; Supervisory control; Flexible manufacturing systems (FMS); Concurrent systems-
dc.title (題名) Uniform Formulas for Compound Siphons, Complementary Siphons and Characteristic Vectors in Deadlock Prevention of Flexible Manufacturing Systemsen_US
dc.type (資料類型) articleen