{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T09:00:56Z","timestamp":1787734856250,"version":"build-2784847793"},"reference-count":61,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2015,10,1]],"date-time":"2015-10-01T00:00:00Z","timestamp":1443657600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2015,10,1]],"date-time":"2015-10-01T00:00:00Z","timestamp":1443657600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2015,10,1]],"date-time":"2015-10-01T00:00:00Z","timestamp":1443657600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"A Star-Thematic Strategic Research Programme funding Singapore Institute of Manufacturing Technology-Nanyang Technological University SIMTech-NTU Joint Laboratory and Collaborative Research Programme on Complex Systems"},{"name":"Computational Intelligence Research Laboratory at NTU"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Cybern."],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1109\/tcyb.2014.2367526","type":"journal-article","created":{"date-parts":[[2014,12,2]],"date-time":"2014-12-02T15:40:40Z","timestamp":1417534840000},"page":"2202-2213","source":"Crossref","is-referenced-by-count":250,"title":["A Simple and Fast Hypervolume Indicator-Based Multiobjective Evolutionary Algorithm"],"prefix":"10.1109","volume":"45","author":[{"given":"Siwei","family":"Jiang","sequence":"first","affiliation":[{"name":"Singapore Institute of Manufacturing Technology, Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jie","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Computer Engineering, Nanyang Technological University, Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yew-Soon","family":"Ong","sequence":"additional","affiliation":[{"name":"School of Computer Engineering, Nanyang Technological University, Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Allan N.","family":"Zhang","sequence":"additional","affiliation":[{"name":"Singapore Institute of Manufacturing Technology, Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Puay Siew","family":"Tan","sequence":"additional","affiliation":[{"name":"Singapore Institute of Manufacturing Technology, Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1007\/978-3-540-31880-4_5","article-title":"An EMO algorithm using the hypervolume measure as selection criterion","author":"emmerich","year":"2005","journal-title":"Proc Evol Multi-Criterion Optim (EMO)"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/ICGEC.2012.90"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1145\/1830483.1830576"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2010.09.026"},{"key":"ref31","first-page":"436","article-title":"Approximating the volume of unions and intersections of high-dimensional geometric objects","author":"bringmann","year":"2008","journal-title":"Algorithms and Computation Proceedings"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/5326.885111"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1145\/2463372.2463451"},{"key":"ref36","first-page":"1975","article-title":"Scaling up indicator-based MOEAs by approximating the least hypervolume contributor: A preliminary study","author":"vo\u00df","year":"2010","journal-title":"Proc Genet Evol Comput Conf (GECCO)"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1002\/mcda.1502"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1162\/EVCO_a_00009"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/4235.797969"},{"key":"ref61","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/978-3-642-01020-0_18","article-title":"On the effect of the steady-state selection scheme in multi-objective genetic algorithms","author":"durillo","year":"2009","journal-title":"Proc Evol Multi-Criterion Optim (EMO)"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2002.804372"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"1402","DOI":"10.1109\/TSMCB.2008.926329","article-title":"A new evolutionary algorithm for solving many-objective optimization problems","volume":"38","author":"zou","year":"2008","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCC.2008.919172"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/MCI.2010.939578"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/MCI.2006.1597059"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2004.824873"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2006.886164"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2007.897606"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2008.925757"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2006.883270"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2006.887946"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/3477.938259"},{"key":"ref50","doi-asserted-by":"crossref","first-page":"1034","DOI":"10.1137\/0220065","article-title":"New upper bounds in Klee&#x2019;s measure problem","volume":"20","author":"gazit","year":"1991","journal-title":"SIAM J Comput"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1162\/evco.2009.17.4.17402"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2005.861417"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1007\/1-84628-137-7_6"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1162\/106365600568202"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2012.6256171"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2010.2077298"},{"key":"ref54","article-title":"Quick hypervolume","author":"russo","year":"2012"},{"key":"ref53","first-page":"77","article-title":"A fast dimension-sweep algorithm for the hypervolume indicator in four dimensions","author":"guerreiro","year":"2012","journal-title":"Proc Canadian Conf on Comp Geom"},{"key":"ref52","first-page":"233","article-title":"Faster S-metric calculation by considering dominated hypervolume as Klee&#x2019;s measure problem","author":"beume","year":"2006","journal-title":"Computational Intelligence"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2007.4424985"},{"key":"ref11","first-page":"351","article-title":"Asymmetric Pareto-adaptive scheme for multiobjective optimization","author":"jiang","year":"2011","journal-title":"Proc Aust Joint Conf Artif Intell (AI)"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2005.1554838"},{"key":"ref12","first-page":"1260","article-title":"Multiobjective optimization by decomposition with Pareto-adaptive weight vectors","volume":"3","author":"jiang","year":"2011","journal-title":"Proc IEEE Conf Nat Comput (ICNC)"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2009.4982991"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1145\/1830483.1830578"},{"key":"ref15","first-page":"832","article-title":"Indicator-based selection in multiobjective search","author":"zitzler","year":"2004","journal-title":"Proc Parallel Probl Solving Nat (PPSN)"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2006.08.008"},{"key":"ref17","first-page":"299","article-title":"A multiagent evolutionary framework based on trust for multiobjective optimization","author":"jiang","year":"2012","journal-title":"Autonomous Agents and Multiagent Systems (AAMAS)"},{"key":"ref18","first-page":"1","article-title":"Pareto rank learning in multi-objective evolutionary algorithms","author":"seah","year":"2012","journal-title":"Proc IEEE Congr Evol Comput (CEC)"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2009.2013915"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2010.5586354"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2011.03.001"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/4235.996017"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.advengsoft.2011.05.014"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2007.892759"},{"key":"ref7","article-title":"SPEA2: Improving the strength Pareto evolutionary algorithm","author":"zitzler","year":"2001"},{"key":"ref49","first-page":"550","article-title":"New upper bounds in Klee&#x2019;s measure problem","author":"overmars","year":"1988","journal-title":"Proc Symp Foundations of Computer Science (FOCS)"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2008.925798"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2008.919001"},{"key":"ref45","article-title":"Local-search and hybrid evolutionary algorithms for Pareto optimization","author":"knowles","year":"2002"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2006.1688440"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2010.5586344"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2307319"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1145\/1967654.1967676"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/MCDM.2013.6595440"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.07.020"}],"container-title":["IEEE Transactions on Cybernetics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6221036\/7265130\/06971144.pdf?arnumber=6971144","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T21:20:50Z","timestamp":1771449650000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/6971144\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10]]},"references-count":61,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/tcyb.2014.2367526","relation":{},"ISSN":["2168-2267","2168-2275"],"issn-type":[{"value":"2168-2267","type":"print"},{"value":"2168-2275","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10]]}}}