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題名 Maximally permissive deadlock prevention via an invariant controlled method
作者 Liu, Gaiyun ; Chao,Daniel Y. ; Uzam, Murat
趙玉
貢獻者 資管系
關鍵詞 deadlock prevention, FMS, Petri nets
日期 2012.12
上傳時間 14-Apr-2014 11:29:03 (UTC+8)
摘要 Recently, researchers have proposed a novel and computationally efficient method to design optimal control places and an iteration approach that computes the reachability graph once to obtain a maximally permissive, if any, liveness-enforcing supervisor of flexible manufacturing systems (FMS). The approach solves the set of integer linear inequalities to compute control places. If, given a Petri net model, no solution exists, the optimal control place does not exist for the Petri net model. We discover that a solution always exists for systems of simple sequential processes with resources (S3PR), but not for the case of FMS modelled by generalised Petri nets (GPN). We propose a theory to prove that there are no good states that will be forbidden by the control policy for S3PR, in which live and dead states cannot have the same weighted sum of tokens in the complimentary set of a siphon. For a system of simple sequential processes with general resource requirements (S3PGR2) modelled by GPN, we find the reason why the integer linear programming (ILP) may not have solutions, which is consistent with the fact that optimal supervisor synthesis for GPN remains unknown. We show that live and dead states may have the same weighted sum of tokens in the complimentary set of a siphon in a GPN. These theoretical results are verified by case studies.
關聯 International Journal of Production Research,51(15), 4431-4442
資料類型 article
DOI http://dx.doi.org/10.1080/00207543.2012.752590
dc.contributor 資管系en_US
dc.creator (作者) Liu, Gaiyun ; Chao,Daniel Y. ; Uzam, Muraten_US
dc.creator (作者) 趙玉-
dc.date (日期) 2012.12en_US
dc.date.accessioned 14-Apr-2014 11:29:03 (UTC+8)-
dc.date.available 14-Apr-2014 11:29:03 (UTC+8)-
dc.date.issued (上傳時間) 14-Apr-2014 11:29:03 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/65330-
dc.description.abstract (摘要) Recently, researchers have proposed a novel and computationally efficient method to design optimal control places and an iteration approach that computes the reachability graph once to obtain a maximally permissive, if any, liveness-enforcing supervisor of flexible manufacturing systems (FMS). The approach solves the set of integer linear inequalities to compute control places. If, given a Petri net model, no solution exists, the optimal control place does not exist for the Petri net model. We discover that a solution always exists for systems of simple sequential processes with resources (S3PR), but not for the case of FMS modelled by generalised Petri nets (GPN). We propose a theory to prove that there are no good states that will be forbidden by the control policy for S3PR, in which live and dead states cannot have the same weighted sum of tokens in the complimentary set of a siphon. For a system of simple sequential processes with general resource requirements (S3PGR2) modelled by GPN, we find the reason why the integer linear programming (ILP) may not have solutions, which is consistent with the fact that optimal supervisor synthesis for GPN remains unknown. We show that live and dead states may have the same weighted sum of tokens in the complimentary set of a siphon in a GPN. These theoretical results are verified by case studies.en_US
dc.format.extent 160 bytes-
dc.format.mimetype text/html-
dc.language.iso en_US-
dc.relation (關聯) International Journal of Production Research,51(15), 4431-4442en_US
dc.subject (關鍵詞) deadlock prevention, FMS, Petri netsen_US
dc.title (題名) Maximally permissive deadlock prevention via an invariant controlled methoden_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1080/00207543.2012.752590en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1080/00207543.2012.752590en_US