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題名 Controllability of weakly dependent siphons under elementary-siphon control
作者 趙玉
Wu, Wen Hui
Chao, Daniel Yuh
貢獻者 資管系
關鍵詞 Benchmarking; Computer system recovery; Integer programming; Petri nets; Deadlock prevention; Dependent siphon; Elementary siphon; Linear inequalities; Linear integer programming; Redundancy elimination; Resource requirements; Sequential process; Siphons
日期 2016-08
上傳時間 15-Sep-2017 16:10:17 (UTC+8)
摘要 Monitors are added to problematic siphons to avoid deadlocks. Li and Zhou (2004, 2006a,b, 2008a,b,c) add monitors to elementary siphons only while controlling the rest-dependent siphons to save on costs. After failing a marking linear inequality (MLI) test, Li and Zhou perform a linear integer programming (LIP) test (NP-hard). We proposed a new MLI test earlier to avoid the LIP and extended it to systems of simple sequential processes with general resource requirements (S3PGR2) for strongly dependent siphons (SDSs). The control policy for weakly dependent siphons (WDSs) 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 need no longer be that conservative. We also develop an optimization (by redundancy elimination) of the computation required for the LIP test to ensure deadlock prevention of systems of simple sequential processes with resources (S3PR). A favourable 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. Application to a slight variant of a well-known benchmark is illustrated.
關聯 Transactions of the Institute of Measurement and Control, 38(8), 941-955
資料類型 article
DOI http://dx.doi.org/10.1177/0142331214568606
dc.contributor 資管系zh_TW
dc.creator (作者) 趙玉zh_TW
dc.creator (作者) Wu, Wen Huien_US
dc.creator (作者) Chao, Daniel Yuhen_US
dc.date (日期) 2016-08
dc.date.accessioned 15-Sep-2017 16:10:17 (UTC+8)-
dc.date.available 15-Sep-2017 16:10:17 (UTC+8)-
dc.date.issued (上傳時間) 15-Sep-2017 16:10:17 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/113057-
dc.description.abstract (摘要) Monitors are added to problematic siphons to avoid deadlocks. Li and Zhou (2004, 2006a,b, 2008a,b,c) add monitors to elementary siphons only while controlling the rest-dependent siphons to save on costs. After failing a marking linear inequality (MLI) test, Li and Zhou perform a linear integer programming (LIP) test (NP-hard). We proposed a new MLI test earlier to avoid the LIP and extended it to systems of simple sequential processes with general resource requirements (S3PGR2) for strongly dependent siphons (SDSs). The control policy for weakly dependent siphons (WDSs) 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 need no longer be that conservative. We also develop an optimization (by redundancy elimination) of the computation required for the LIP test to ensure deadlock prevention of systems of simple sequential processes with resources (S3PR). A favourable 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. Application to a slight variant of a well-known benchmark is illustrated.en_US
dc.format.extent 208 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Transactions of the Institute of Measurement and Control, 38(8), 941-955en_US
dc.subject (關鍵詞) Benchmarking; Computer system recovery; Integer programming; Petri nets; Deadlock prevention; Dependent siphon; Elementary siphon; Linear inequalities; Linear integer programming; Redundancy elimination; Resource requirements; Sequential process; Siphonsen_US
dc.title (題名) Controllability of weakly dependent siphons under elementary-siphon controlen_US
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1177/0142331214568606
dc.doi.uri (DOI) http://dx.doi.org/10.1177/0142331214568606