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題名 Controllability of weakly dependent siphons under elementary-siphon control
作者 Chao, Daniel Yuh;Chen, Jiun-Ting;Huang, J.-S.
趙玉;陳俊廷
貢獻者 資管系
關鍵詞 Deadlock prevention; Dependent siphon; Elementary siphon; Linear inequalities; Linear integer programming; Redundancy elimination; Resource requirements; Sequential process; Integer programming; Petri nets; Siphons; Robotics
日期 2013
上傳時間 21-May-2015 16:16:13 (UTC+8)
摘要 Monitors are added upon problematic siphons to avoid deadlocks. Li and Zhou add monitors to elementary siphons only while controlling the rest dependent siphons to save cost. After failing a Marking Linear Inequality (MLI) test, they perform a Linear Integer Programming (LIP) test (NP-hard). We proposed a new MLI test earlier to avoid the LIP and extended it to S3PR2 (systems of simple sequential processes with general resource requirements) for strongly dependent siphons (SDS). The control policy for weakly dependent siphons (WDS) is rather conservative due to some negative terms in the MLI. This paper shows that WDS and SDS have the same controllability (i.e., MLI). As a result, the control for WDS needs no longer be that conservative. We also develop an optimization (by redundancy elimination) of the computation required for LIP test to ensure deadlock prevention of S3PR (Systems of Simple Sequential Processes with Resources). A favorable result for this policy is that any n-dependent (n>2) WDS (similar to SDS) needs no monitor and hence the complexity for synthesizing a controller becomes polynomial. © (2013) Trans Tech Publications, Switzerland.
關聯 Applied Mechanics and Materials, 373-375, 1413-1427
資料類型 article
DOI http://dx.doi.org/10.4028/www.scientific.net/AMM.373-375.1413
dc.contributor 資管系
dc.creator (作者) Chao, Daniel Yuh;Chen, Jiun-Ting;Huang, J.-S.
dc.creator (作者) 趙玉;陳俊廷zh_TW
dc.date (日期) 2013
dc.date.accessioned 21-May-2015 16:16:13 (UTC+8)-
dc.date.available 21-May-2015 16:16:13 (UTC+8)-
dc.date.issued (上傳時間) 21-May-2015 16:16:13 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/75230-
dc.description.abstract (摘要) Monitors are added upon problematic siphons to avoid deadlocks. Li and Zhou add monitors to elementary siphons only while controlling the rest dependent siphons to save cost. After failing a Marking Linear Inequality (MLI) test, they perform a Linear Integer Programming (LIP) test (NP-hard). We proposed a new MLI test earlier to avoid the LIP and extended it to S3PR2 (systems of simple sequential processes with general resource requirements) for strongly dependent siphons (SDS). The control policy for weakly dependent siphons (WDS) is rather conservative due to some negative terms in the MLI. This paper shows that WDS and SDS have the same controllability (i.e., MLI). As a result, the control for WDS needs no longer be that conservative. We also develop an optimization (by redundancy elimination) of the computation required for LIP test to ensure deadlock prevention of S3PR (Systems of Simple Sequential Processes with Resources). A favorable result for this policy is that any n-dependent (n>2) WDS (similar to SDS) needs no monitor and hence the complexity for synthesizing a controller becomes polynomial. © (2013) Trans Tech Publications, Switzerland.
dc.format.extent 176 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Applied Mechanics and Materials, 373-375, 1413-1427
dc.subject (關鍵詞) Deadlock prevention; Dependent siphon; Elementary siphon; Linear inequalities; Linear integer programming; Redundancy elimination; Resource requirements; Sequential process; Integer programming; Petri nets; Siphons; Robotics
dc.title (題名) Controllability of weakly dependent siphons under elementary-siphon control
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.4028/www.scientific.net/AMM.373-375.1413
dc.doi.uri (DOI) http://dx.doi.org/10.4028/www.scientific.net/AMM.373-375.1413