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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/75948


    Title: Controllability of control and mixture weakly dependent siphons in S3PR
    Authors: Chao, Daniel Yuh
    趙玉
    Contributors: 資管系
    Date: 2012
    Issue Date: 2015-06-18 14:32:02 (UTC+8)
    Abstract: 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.
    Relation: International Journal of Systems Science, Volume 44, Issue 8, pages 1377-1385
    Data Type: article
    DOI link: http://dx.doi.org/10.1080/00207721.2012.659291
    DOI: 10.1080/00207721.2012.659291
    Appears in Collections:[Department of MIS] Periodical Articles

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