{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:49Z","timestamp":1740134569012,"version":"3.37.3"},"reference-count":18,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61071062","Y12F02030","2013JGJ001"],"award-info":[{"award-number":["61071062","Y12F02030","2013JGJ001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Provincial Nature Science Foundation of Zhejiang","award":["61071062","Y12F02030","2013JGJ001"],"award-info":[{"award-number":["61071062","Y12F02030","2013JGJ001"]}]},{"DOI":"10.13039\/501100007820","name":"Hangzhou Normal University","doi-asserted-by":"crossref","award":["61071062","Y12F02030","2013JGJ001"],"award-info":[{"award-number":["61071062","Y12F02030","2013JGJ001"]}],"id":[{"id":"10.13039\/501100007820","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>Mixed integer programming (MIP) is an important technique to verify the liveness property of sequential flexible manufacturing systems (FMS) modeled by Petri nets. When there are some fully flexible routings in FMS, the existing MIP-based methods are not suitable for testing their liveness. This paper defines a subclass of S*PR nets firstly, namely, OSC-S*PR nets, and concludes that an OSC-S*PR net is live if there exist no non-max\u2032-controlled siphons. Accordingly, determining whether or not an OSC-S*PR net is live can also be realized by using standardized mixed integer programming (MIP) tools. Furthermore, the liveness property of S*PR nets can be tested in two steps: first, for a given S*PR net, constructing an OSC-S*PR net to ensure that if the latter is live then the former must be live; second, testing liveness of the constructed OSC-S*PR net by the aforementioned MIP-based algorithm. In the end, the performance of the method is demonstrated by an application of FMS.<\/jats:p>","DOI":"10.1155\/2014\/319281","type":"journal-article","created":{"date-parts":[[2014,8,9]],"date-time":"2014-08-09T17:03:38Z","timestamp":1407603818000},"page":"1-12","source":"Crossref","is-referenced-by-count":0,"title":["Mixed Integer Programming-Based Liveness Test for FMS with Full Routing Flexibility"],"prefix":"10.1155","volume":"2014","author":[{"given":"Lida","family":"Dong","sequence":"first","affiliation":[{"name":"Hangzhou Institution of Service Engineering, Hangzhou Normal University, Hangzhou 310027, China"},{"name":"Institution of Electronic Circuit & Information Systems, Zhejiang University, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianyang","family":"Chi","sequence":"additional","affiliation":[{"name":"Hangzhou Institution of Service Engineering, Hangzhou Normal University, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2799-8192","authenticated-orcid":true,"given":"Chengcheng","family":"Zhu","sequence":"additional","affiliation":[{"name":"Institution of Electronic Circuit & Information Systems, Zhejiang University, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Yin","sequence":"additional","affiliation":[{"name":"Institution of Electronic Circuit & Information Systems, Zhejiang University, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2012.752590"},{"first-page":"64","volume-title":"A class of well structured Petri nets for flexible manufacturing systems","year":"1998","key":"2"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(97)00074-1"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1109\/5.24143"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/70.650158"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1109\/70.370500"},{"first-page":"64","volume-title":"A class of well structured Petri nets for flexible manufacturing systems","year":"1998","key":"8"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta:20070399"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1080\/00207540010002405"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1109\/9.956052"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84882-762-2_4"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2009.0557"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/TRA.2002.801048"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1145\/2406336.2406344"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1007\/s10626-012-0139-x"},{"year":"2009","key":"19"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta:20060275"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2008.0193"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/319281.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/319281.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/319281.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T12:24:11Z","timestamp":1471523051000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/319281\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":18,"alternative-id":["319281","319281"],"URL":"https:\/\/doi.org\/10.1155\/2014\/319281","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}