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題名 Controllability of Weakly Dependent Control and Mixture Siphons in S3PR
作者 趙玉
Hong, Liang ; Chao, Daniel Y.
貢獻者 資管系
關鍵詞 Petri nets; siphons; deadlock prevention
日期 2012.02
上傳時間 30-Jun-2014 18:23:49 (UTC+8)
摘要 Deadlocks in a flexible manufacturing system modelled by Petri nets arise from insufficiently marked siphons. Monitors are added to control these siphons to avoid deadlocks rendering the system too complicated since the total number of monitors grows exponentially. Li and Zhou propose to add monitors only to elementary siphons while controlling the other (strongly or weakly) dependent siphons by adjusting control depth variables. To avoid generating new siphons, the control arcs are ended at source transitions of process nets. This disturbs the original model more and hence loses more live states. Negative terms in the controllability make the control policy for weakly dependent siphons rather conservative. We studied earlier on the controllability of strongly dependent siphons and proposed to add monitors in the order of basic, compound, control, partial mixture and full mixture (strongly dependent) siphons to reduce the number of mixed integer programming iterations and redundant monitors. This article further investigates the controllability of siphons derived from weakly 2-compound siphons. We discover that the controllability for weakly and strongly compound siphons is similar. It no longer holds for control and mixture siphons. Some control and mixture siphons, derived from strongly 2-compound siphons are not redundant – no longer so for those derived from weakly 2-compound siphons; that is all control and mixture siphons are redundant. They do not need to be the conservative one as proposed by Li and Zhou. Thus, we can adopt the maximally permissive control policy even though new siphons are generated.
關聯 International Journal of Systems Science, 44(8), 1377-1385
資料類型 article
DOI http://dx.doi.org/10.1080/00207721.2012.659291
dc.contributor 資管系en_US
dc.creator (作者) 趙玉zh_TW
dc.creator (作者) Hong, Liang ; Chao, Daniel Y.en_US
dc.date (日期) 2012.02en_US
dc.date.accessioned 30-Jun-2014 18:23:49 (UTC+8)-
dc.date.available 30-Jun-2014 18:23:49 (UTC+8)-
dc.date.issued (上傳時間) 30-Jun-2014 18:23:49 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/67039-
dc.description.abstract (摘要) Deadlocks in a flexible manufacturing system modelled by Petri nets arise from insufficiently marked siphons. Monitors are added to control these siphons to avoid deadlocks rendering the system too complicated since the total number of monitors grows exponentially. Li and Zhou propose to add monitors only to elementary siphons while controlling the other (strongly or weakly) dependent siphons by adjusting control depth variables. To avoid generating new siphons, the control arcs are ended at source transitions of process nets. This disturbs the original model more and hence loses more live states. Negative terms in the controllability make the control policy for weakly dependent siphons rather conservative. We studied earlier on the controllability of strongly dependent siphons and proposed to add monitors in the order of basic, compound, control, partial mixture and full mixture (strongly dependent) siphons to reduce the number of mixed integer programming iterations and redundant monitors. This article further investigates the controllability of siphons derived from weakly 2-compound siphons. We discover that the controllability for weakly and strongly compound siphons is similar. It no longer holds for control and mixture siphons. Some control and mixture siphons, derived from strongly 2-compound siphons are not redundant – no longer so for those derived from weakly 2-compound siphons; that is all control and mixture siphons are redundant. They do not need to be the conservative one as proposed by Li and Zhou. Thus, we can adopt the maximally permissive control policy even though new siphons are generated.en_US
dc.format.extent 135 bytes-
dc.format.mimetype text/html-
dc.language.iso en_US-
dc.relation (關聯) International Journal of Systems Science, 44(8), 1377-1385en_US
dc.subject (關鍵詞) Petri nets; siphons; deadlock preventionen_US
dc.title (題名) Controllability of Weakly Dependent Control and Mixture Siphons in S3PRen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1080/00207721.2012.659291en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1080/00207721.2012.659291en_US