{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T04:03:39Z","timestamp":1777694619614,"version":"3.51.4"},"reference-count":45,"publisher":"American Chemical Society (ACS)","issue":"16","license":[{"start":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T00:00:00Z","timestamp":1776211200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["LA\/P\/0045\/2020"],"award-info":[{"award-number":["LA\/P\/0045\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/04028\/2025"],"award-info":[{"award-number":["UID\/04028\/2025"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/50020\/2025"],"award-info":[{"award-number":["UID\/50020\/2025"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ind. Eng. Chem. Res."],"published-print":{"date-parts":[[2026,4,29]]},"DOI":"10.1021\/acs.iecr.5c04540","type":"journal-article","created":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T07:18:11Z","timestamp":1776237491000},"page":"8373-8388","source":"Crossref","is-referenced-by-count":0,"title":["Global Optimization of Nonconvex Quadratically Constrained Programs via Sparse Sum-of-Squares Relaxations Applied to Water-Using Networks"],"prefix":"10.1021","volume":"65","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7823-2993","authenticated-orcid":true,"given":"Diogo","family":"Rodrigues","sequence":"first","affiliation":[{"name":"LSRE-LCM, ALiCE, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4898-8922","authenticated-orcid":true,"given":"Pedro M.","family":"Castro","sequence":"additional","affiliation":[{"name":"Centro de Recursos Naturais e Ambiente, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal"}]}],"member":"316","published-online":{"date-parts":[[2026,4,15]]},"reference":[{"key":"ref1\/cit1","doi-asserted-by":"publisher","DOI":"10.1016\/0098-1354(94)00123-5"},{"key":"ref2\/cit2","doi-asserted-by":"publisher","DOI":"10.1021\/ie980133h"},{"key":"ref3\/cit3","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2005.11.005"},{"key":"ref4\/cit4","doi-asserted-by":"publisher","DOI":"10.1145\/1111237.1111238"},{"key":"ref5\/cit5","doi-asserted-by":"publisher","DOI":"10.1002\/aic.10717"},{"key":"ref6\/cit6","doi-asserted-by":"publisher","DOI":"10.1021\/ie100025e"},{"key":"ref7\/cit7","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2011.01.026"},{"key":"ref8\/cit8","doi-asserted-by":"publisher","DOI":"10.1007\/BF00138693"},{"key":"ref9\/cit9","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-014-0166-2"},{"key":"ref10\/cit10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580665"},{"key":"ref11\/cit11","doi-asserted-by":"publisher","DOI":"10.1007\/BF00122429"},{"key":"ref12\/cit12","doi-asserted-by":"publisher","DOI":"10.1021\/acs.iecr.3c00191"},{"key":"ref13\/cit13","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2005.04.003"},{"key":"ref14\/cit14","doi-asserted-by":"publisher","DOI":"10.1002\/aic.11425"},{"key":"ref15\/cit15","doi-asserted-by":"crossref","unstructured":"Balas, E. In\n                      Discrete Optimization II\n                      , Hammer, P., Johnson, E., Korte, B., Eds. Annals of Discrete Mathematics: Elsevier, 1979; Vol. 5, pp 3\u201351.","DOI":"10.1016\/S0167-5060(08)70342-X"},{"key":"ref16\/cit16","doi-asserted-by":"publisher","DOI":"10.1137\/0606047"},{"key":"ref17\/cit17","doi-asserted-by":"publisher","DOI":"10.1021\/ie8016048"},{"key":"ref18\/cit18","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-009-0295-4"},{"key":"ref19\/cit19","doi-asserted-by":"publisher","DOI":"10.1007\/s11081-021-09603-5"},{"key":"ref20\/cit20","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2012.02.018"},{"key":"ref21\/cit21","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-011-9809-8"},{"key":"ref22\/cit22","doi-asserted-by":"publisher","DOI":"10.1021\/ie8003573"},{"key":"ref23\/cit23","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-012-0022-1"},{"key":"ref24\/cit24","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-015-0342-z"},{"key":"ref25\/cit25","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-018-0728-9"},{"key":"ref26\/cit26","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2013.01.013"},{"key":"ref27\/cit27","doi-asserted-by":"publisher","DOI":"10.1080\/10556788.2016.1264397"},{"key":"ref28\/cit28","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2021.107459"},{"key":"ref29\/cit29","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2022.107909"},{"key":"ref30\/cit30","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008312714792"},{"key":"ref31\/cit31","doi-asserted-by":"publisher","DOI":"10.1007\/s10601-016-9267-5"},{"key":"ref32\/cit32","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-012-9874-7"},{"key":"ref33\/cit33","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-014-0162-6"},{"key":"ref34\/cit34","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2014.03.025"},{"key":"ref35\/cit35","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623400366802"},{"key":"ref36\/cit36","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511804441","volume-title":"Convex Optimization","author":"Boyd S.","year":"2004"},{"key":"ref37\/cit37","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-006-0085-1"},{"key":"ref38\/cit38","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0554-3"},{"key":"ref39\/cit39","doi-asserted-by":"publisher","DOI":"10.1115\/1.4042176"},{"key":"ref40\/cit40","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2023.3293014"},{"key":"ref41\/cit41","doi-asserted-by":"crossref","first-page":"3184","DOI":"10.1109\/CDC40024.2019.9029890","volume-title":"2019 IEEE 58th Conference on Decision and Control (CDC)","author":"Rodrigues D.","year":"2019"},{"key":"ref42\/cit42","doi-asserted-by":"crossref","unstructured":"Rodrigues, D.; Abdalmoaty, M. R.; Hjalmarsson, H. Toward Tractable Global Solutions to Bayesian Point Estimation Problems via Sparse Sum-of-Squares Relaxations. In\n                      2020 American Control Conference (ACC)\n                      , Denver, CO, USA, 2020; pp 1501\u20131506.","DOI":"10.23919\/ACC45564.2020.9147484"},{"key":"ref43\/cit43","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2021.107238"},{"key":"ref44\/cit44","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1993.42.42045"},{"key":"ref45\/cit45","doi-asserted-by":"publisher","DOI":"10.1137\/05064504X"}],"container-title":["Industrial & Engineering Chemistry Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.acs.org\/doi\/pdf\/10.1021\/acs.iecr.5c04540","content-type":"application\/pdf","content-version":"vor","intended-application":"unspecified"},{"URL":"https:\/\/pubs.acs.org\/doi\/pdf\/10.1021\/acs.iecr.5c04540","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:15:36Z","timestamp":1777454136000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.acs.org\/doi\/10.1021\/acs.iecr.5c04540"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4,15]]},"references-count":45,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2026,4,29]]}},"alternative-id":["10.1021\/acs.iecr.5c04540"],"URL":"https:\/\/doi.org\/10.1021\/acs.iecr.5c04540","relation":{},"ISSN":["0888-5885","1520-5045"],"issn-type":[{"value":"0888-5885","type":"print"},{"value":"1520-5045","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4,15]]}}}