{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T19:00:49Z","timestamp":1777489249532,"version":"3.51.4"},"reference-count":27,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"3","license":[{"start":{"date-parts":[[2017,3,1]],"date-time":"2017-03-01T00:00:00Z","timestamp":1488326400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573199"],"award-info":[{"award-number":["61573199"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573200"],"award-info":[{"award-number":["61573200"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006606","name":"Tianjin Natural Science Foundation of China","doi-asserted-by":"publisher","award":["14JCYBJC18700"],"award-info":[{"award-number":["14JCYBJC18700"]}],"id":[{"id":"10.13039\/501100006606","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006606","name":"Tianjin Natural Science Foundation of China","doi-asserted-by":"publisher","award":["13JCYBJC17400"],"award-info":[{"award-number":["13JCYBJC17400"]}],"id":[{"id":"10.13039\/501100006606","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Syst. Man Cybern, Syst."],"published-print":{"date-parts":[[2017,3]]},"DOI":"10.1109\/tsmc.2015.2507162","type":"journal-article","created":{"date-parts":[[2015,12,24]],"date-time":"2015-12-24T14:22:55Z","timestamp":1450966975000},"page":"531-536","source":"Crossref","is-referenced-by-count":51,"title":["Calculation of Siphons and Minimal Siphons in Petri Nets Based on Semi-Tensor Product of Matrices"],"prefix":"10.1109","volume":"47","author":[{"given":"Xiaoguang","family":"Han","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zengqiang","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhongxin","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qing","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2008.918605"},{"key":"ref11","first-page":"113","article-title":"Detection of deadlocks and traps in Petri nets by means of Thelen&#x2019;s prime implicant method","volume":"14","author":"w\u00eagrzyn","year":"2004","journal-title":"Int J Appl Math Comput Sci"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-72822-8_21"},{"key":"ref13","first-page":"126","article-title":"A new technique for finding a generating family of siphons, traps and st-components. Application to colored Petri nets","author":"ezpeleta","year":"1991","journal-title":"Proc Int Conf Appl Theory Petri Nets"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/81.285680"},{"key":"ref15","first-page":"121","article-title":"Incidence matrix based methods for computing repetitive vectors and siphons of Petri net","volume":"25","author":"liu","year":"2009","journal-title":"J Inf Sci Eng"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1142\/8323"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.03.006"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.07.016"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.05.005"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/0005-1098(94)90024-8","article-title":"Petri nets for modeling of dynamic systems: A survey","volume":"30","author":"david","year":"1994","journal-title":"Automatica"},{"key":"ref27","first-page":"2558","article-title":"Time complexity analysis of the minimal siphon extraction problem of Petri nets","volume":"e82 a","author":"yamauchi","year":"1999","journal-title":"IEICE Trans Fundam Electron Commun Comput Sci"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/5.24143"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/70.370500"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/32.286423"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1109\/TSMC.2014.2347267","article-title":"Deadlock prevention for flexible manufacturing systems via controllable siphon basis of Petri nets","volume":"45","author":"liu","year":"2015","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2003.820576"},{"key":"ref2","author":"peterson","year":"1981","journal-title":"Petri Net Theory and the Modeling of Systems"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btl596"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-68612-7"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2404471"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2005.855751"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s11768-012-1178-4"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2011.2159590"},{"key":"ref23","first-page":"307","article-title":"Computing minimal siphons in Petri net models of resource allocation systems: An evolutionary approach","author":"tricas","year":"2014","journal-title":"Proceedings of the International Workshop on Petri Nets and Software Engineering (PNSE'07)"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/ICNSC.2012.6204889"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2005.853504"}],"container-title":["IEEE Transactions on Systems, Man, and Cybernetics: Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6221021\/7862864\/07365471.pdf?arnumber=7365471","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:45:45Z","timestamp":1641987945000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7365471\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3]]},"references-count":27,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1109\/tsmc.2015.2507162","relation":{},"ISSN":["2168-2216","2168-2232"],"issn-type":[{"value":"2168-2216","type":"print"},{"value":"2168-2232","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3]]}}}