{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T09:21:41Z","timestamp":1778577701535,"version":"3.51.4"},"reference-count":16,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2003,3,1]],"date-time":"2003-03-01T00:00:00Z","timestamp":1046476800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers &amp; Chemical Engineering"],"published-print":{"date-parts":[[2003,3]]},"DOI":"10.1016\/s0098-1354(02)00220-x","type":"journal-article","created":{"date-parts":[[2003,4,4]],"date-time":"2003-04-04T23:49:40Z","timestamp":1049500180000},"page":"433-448","source":"Crossref","is-referenced-by-count":134,"title":["Modeling of discrete\/continuous optimization problems: characterization and formulation of disjunctions and their relaxations"],"prefix":"10.1016","volume":"27","author":[{"given":"Aldo","family":"Vecchietti","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sangbum","family":"Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ignacio E.","family":"Grossmann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0098-1354(02)00220-X_BIB1","volume":"5","author":"Balas","year":"1979"},{"issue":"3","key":"10.1016\/S0098-1354(02)00220-X_BIB2","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1137\/0606047","article-title":"Disjunctive Programming and a hierarchy of relaxations for discrete optimization problems","volume":"6","author":"Balas","year":"1985","journal-title":"SIAM Journal of Algebric and Discrete Mathematics"},{"key":"10.1016\/S0098-1354(02)00220-X_BIB3","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/0167-6377(88)90058-2","article-title":"On the convex hull of the union of certain polyhedra","volume":"7","author":"Balas","year":"1988","journal-title":"Operations Research Letters"},{"key":"10.1016\/S0098-1354(02)00220-X_BIB4","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1016\/0377-2217(90)90419-C","article-title":"An algorithm for disjunctive programs","volume":"48","author":"Beaumont","year":"1990","journal-title":"European Journal of Operational Research"},{"issue":"3","key":"10.1016\/S0098-1354(02)00220-X_BIB5","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1287\/ijoc.10.3.287","article-title":"Branch-and-infer: a unifying framework for integer and finite domain constraint programming","volume":"10","author":"Bockmayr","year":"1998","journal-title":"INFORMS Journal on Computing"},{"key":"10.1016\/S0098-1354(02)00220-X_BIB6","series-title":"Large-scale optimization with applications, part II: optimal design and control","first-page":"73","article-title":"Mixed-integer nonlinear programming: a survey of algorithms and applications","author":"Grossmann","year":"1997"},{"issue":"16","key":"10.1016\/S0098-1354(02)00220-X_BIB7","doi-asserted-by":"crossref","first-page":"3762","DOI":"10.1021\/ie010699x","article-title":"High-level optimization model for the retrofit planning of process networks","volume":"41","author":"Jackson","year":"2002","journal-title":"Industrial Engineering and Chemical Research"},{"issue":"9\u201310","key":"10.1016\/S0098-1354(02)00220-X_BIB8","doi-asserted-by":"crossref","first-page":"2125","DOI":"10.1016\/S0098-1354(00)00581-0","article-title":"New algorithms for nonlinear generalized disjunctive programming","volume":"24","author":"Lee","year":"2000","journal-title":"Computers and Chemical Engineering"},{"issue":"11\u201312","key":"10.1016\/S0098-1354(02)00220-X_BIB9","doi-asserted-by":"crossref","first-page":"1675","DOI":"10.1016\/S0098-1354(01)00732-3","article-title":"A global optimization algorithm for nonconvex generalized disjunctive programming and applications to process systems","volume":"25","author":"Lee","year":"2001","journal-title":"Computers and Chemical Engineering"},{"key":"10.1016\/S0098-1354(02)00220-X_BIB10","series-title":"Integer and combinatorial optimization","author":"Nemhauser","year":"1988"},{"issue":"7","key":"10.1016\/S0098-1354(02)00220-X_BIB11","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1016\/0098-1354(93)E0010-7","article-title":"Modeling and computational techniques for logic based integer programming","volume":"18","author":"Raman","year":"1994","journal-title":"Computers and Chemical Engineering"},{"issue":"3","key":"10.1016\/S0098-1354(02)00220-X_BIB12","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1007\/s101070050103","article-title":"A branch-and-cut method for 0\u20131 mixed convex programming","volume":"86","author":"Stubbs","year":"1999","journal-title":"Mathematical Programming"},{"issue":"8","key":"10.1016\/S0098-1354(02)00220-X_BIB13","doi-asserted-by":"crossref","first-page":"959","DOI":"10.1016\/0098-1354(95)00219-7","article-title":"Logic-based algorithms for the optimal synthesis of process networks","volume":"20","author":"T\u00fcrkay","year":"1996","journal-title":"Computers and Chemical Engineering"},{"key":"10.1016\/S0098-1354(02)00220-X_BIB14","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1016\/S0098-1354(98)00293-2","article-title":"LOGMIP: a disjunctive 0\u20131 nonlinear optimizer for process system models","volume":"23","author":"Vecchietti","year":"1999","journal-title":"Computers and Chemical Engineering"},{"issue":"9\u201310","key":"10.1016\/S0098-1354(02)00220-X_BIB15","doi-asserted-by":"crossref","first-page":"2143","DOI":"10.1016\/S0098-1354(00)00582-2","article-title":"Modeling issues and implementation of language for disjunctive programming","volume":"24","author":"Vecchietti","year":"2000","journal-title":"Computers and Chemical Engineering"},{"issue":"9","key":"10.1016\/S0098-1354(02)00220-X_BIB16","doi-asserted-by":"crossref","first-page":"1135","DOI":"10.1016\/S0098-1354(99)00279-3","article-title":"Nonlinear disjunctive programming models for the synthesis of heat integrated distillation sequences","volume":"23","author":"Yeomans","year":"1999","journal-title":"Computers and Chemical Engineering"}],"container-title":["Computers &amp; Chemical Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009813540200220X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009813540200220X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,30]],"date-time":"2019-03-30T07:25:25Z","timestamp":1553930725000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S009813540200220X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,3]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,3]]}},"alternative-id":["S009813540200220X"],"URL":"https:\/\/doi.org\/10.1016\/s0098-1354(02)00220-x","relation":{},"ISSN":["0098-1354"],"issn-type":[{"value":"0098-1354","type":"print"}],"subject":[],"published":{"date-parts":[[2003,3]]}}}