{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T07:49:41Z","timestamp":1761896981395,"version":"3.37.3"},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"16","license":[{"start":{"date-parts":[[2019,1,10]],"date-time":"2019-01-10T00:00:00Z","timestamp":1547078400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["P29651-N32"],"award-info":[{"award-number":["P29651-N32"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1007\/s00500-018-03736-z","type":"journal-article","created":{"date-parts":[[2019,1,9]],"date-time":"2019-01-09T22:48:10Z","timestamp":1547074090000},"page":"6847-6869","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A multi-recombinative active matrix adaptation evolution strategy for constrained optimization"],"prefix":"10.1007","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9554-7732","authenticated-orcid":false,"given":"Patrick","family":"Spettel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7455-8686","authenticated-orcid":false,"given":"Hans-Georg","family":"Beyer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,1,10]]},"reference":[{"issue":"1","key":"3736_CR1","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/j.tcs.2006.04.003","volume":"361","author":"DV Arnold","year":"2006","unstructured":"Arnold DV (2006) Weighted multirecombination evolution strategies. Theor Comput Sci 361(1):18\u201337","journal-title":"Theor Comput Sci"},{"key":"3736_CR2","doi-asserted-by":"crossref","unstructured":"Arnold DV (2016) An active-set evolution strategy for optimization with known constraints. In: International conference on parallel problem solving from nature. Springer, pp 192\u2013202","DOI":"10.1007\/978-3-319-45823-6_18"},{"key":"3736_CR3","doi-asserted-by":"publisher","unstructured":"Arnold DV (2017) Reconsidering constraint release for active-set evolution strategies. In: Proceedings of the genetic and evolutionary computation conference, GECCO \u201917. ACM, New York, NY, USA, pp 665\u2013672. \n                    https:\/\/doi.org\/10.1145\/3071178.3071294","DOI":"10.1145\/3071178.3071294"},{"key":"3736_CR4","unstructured":"Arnold DV, Hansen N (2012) A (1 + 1)-CMA-ES for constrained optimisation. In: Proceedings of the 14th annual conference on genetic and evolutionary computation. ACM, pp 297\u2013304"},{"key":"3736_CR5","doi-asserted-by":"publisher","unstructured":"Arnold DV, Porter J (2015) Towards an augmented Lagrangian constraint handling approach for the (1 + 1)-ES. In: Proceedings of the 2015 annual conference on genetic and evolutionary computation, GECCO \u201915. ACM, New York, NY, USA, pp 249\u2013256. \n                    https:\/\/doi.org\/10.1145\/2739480.2754813","DOI":"10.1145\/2739480.2754813"},{"key":"3736_CR6","doi-asserted-by":"crossref","unstructured":"Atamna A, Auger A, Hansen N (2016) Augmented Lagrangian constraint handling for CMA-ES\u2014case of a single linear constraint. In: International conference on parallel problem solving from nature. Springer, pp 181\u2013191","DOI":"10.1007\/978-3-319-45823-6_17"},{"key":"3736_CR7","doi-asserted-by":"crossref","unstructured":"Atamna A, Auger A, Hansen N (2017) Linearly convergent evolution strategies via augmented Lagrangian constraint handling. In: Proceedings of the 14th ACM\/SIGEVO conference on foundations of genetic algorithms. ACM, pp 149\u2013161","DOI":"10.1145\/3040718.3040732"},{"issue":"4","key":"3736_CR8","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1007\/s11047-007-9049-5","volume":"6","author":"A Banks","year":"2007","unstructured":"Banks A, Vincent J, Anyakoha C (2007) A review of particle swarm optimization. Part I: background and development. Nat Comput 6(4):467\u2013484","journal-title":"Nat Comput"},{"issue":"1","key":"3736_CR9","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s11047-007-9050-z","volume":"7","author":"A Banks","year":"2008","unstructured":"Banks A, Vincent J, Anyakoha C (2008) A review of particle swarm optimization. Part II: hybridisation, combinatorial, multicriteria and constrained optimization, and indicative applications. Nat Comput 7(1):109\u2013124","journal-title":"Nat Comput"},{"key":"3736_CR10","volume-title":"Ein Evolutionsverfahren zur mathematischen Modellierung station\u00e4rer Zust\u00e4nde in dynamischen Systemen","author":"HG Beyer","year":"1989","unstructured":"Beyer HG (1989) Ein Evolutionsverfahren zur mathematischen Modellierung station\u00e4rer Zust\u00e4nde in dynamischen Systemen. Hochschule f\u00fcr Architektur und Bauwesen, Weimar"},{"issue":"4","key":"3736_CR11","doi-asserted-by":"publisher","first-page":"578","DOI":"10.1109\/TEVC.2011.2169967","volume":"16","author":"HG Beyer","year":"2012","unstructured":"Beyer HG, Finck S (2012) On the design of constraint covariance matrix self-adaptation evolution strategies including a cardinality constraint. IEEE Trans Evol Comput 16(4):578\u2013596","journal-title":"IEEE Trans Evol Comput"},{"issue":"5","key":"3736_CR12","doi-asserted-by":"publisher","first-page":"746","DOI":"10.1109\/TEVC.2017.2680320","volume":"21","author":"HG Beyer","year":"2017","unstructured":"Beyer HG, Sendhoff B (2017) Simplify your covariance matrix adaptation evolution strategy. IEEE Trans Evol Comput 21(5):746\u2013759","journal-title":"IEEE Trans Evol Comput"},{"key":"3736_CR13","unstructured":"Brockhoff D, Hansen N, Mersmann O, Ros R, Tusar D, Tusar T (2017) COCO documentation repository. \n                    http:\/\/github.com\/numbbo\/coco-doc"},{"key":"3736_CR14","doi-asserted-by":"publisher","first-page":"A1","DOI":"10.1051\/smdo\/2015001","volume":"6","author":"R Chocat","year":"2015","unstructured":"Chocat R, Brevault L, Balesdent M, Defoort S (2015) Modified covariance matrix adaptation\u2014evolution strategy algorithm for constrained optimization under uncertainty, application to rocket design. Int J Simul Multidiscip Des Optim 6:A1","journal-title":"Int J Simul Multidiscip Des Optim"},{"key":"3736_CR15","doi-asserted-by":"crossref","unstructured":"Conn AR, Scheinberg K, Vicente LN (2009) Introduction to derivative-free optimization. SIAM, Philadelphia","DOI":"10.1137\/1.9780898718768"},{"key":"3736_CR16","unstructured":"Eaton JW, Bateman D, Hauberg S, Wehbring R (2016) GNU Octave version 4.2.0 manual: a high-level interactive language for numerical computations. \n                    http:\/\/www.gnu.org\/software\/octave\/doc\/interpreter"},{"key":"3736_CR17","unstructured":"Hansen N (2016) The CMA evolution strategy: a tutorial. CoRR \n                    arXiv:1604.00772"},{"key":"3736_CR18","unstructured":"Hansen N, Auger A, Brockhoff D, Tusar D, Tusar T (2016) COCO: performance assessment. ArXiv\u00a0e-prints \n                    arXiv:1605.03560"},{"key":"3736_CR19","doi-asserted-by":"crossref","unstructured":"Huang VL, Qin AK, Suganthan PN (2006) Self-adaptive differential evolution algorithm for constrained real-parameter optimization. In: IEEE congress on evolutionary computation (CEC). IEEE, pp 17\u201324","DOI":"10.1109\/CEC.2006.1688285"},{"key":"3736_CR20","doi-asserted-by":"publisher","unstructured":"Jamal MB, Ming F, Zhengang J (2018) Solving constrained optimization problems by using covariance matrix adaptation evolutionary strategy with constraint handling methods. In: Proceedings of the 2nd international conference on innovation in artificial intelligence, ICIAI \u201918. ACM, New York, NY, USA, pp 6\u201315. \n                    https:\/\/doi.org\/10.1145\/3194206.3194215","DOI":"10.1145\/3194206.3194215"},{"key":"3736_CR21","unstructured":"Jastrebski GA, Arnold DV (2006) Improving evolution strategies through active covariance matrix adaptation. In: 2006 IEEE international conference on evolutionary computation, pp 2814\u20132821"},{"issue":"3","key":"3736_CR22","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1137\/S003614450242889","volume":"45","author":"TG Kolda","year":"2003","unstructured":"Kolda TG, Lewis RM, Torczon V (2003) Optimization by direct search: new perspectives on some classical and modern methods. SIAM Rev 45(3):385\u2013482","journal-title":"SIAM Rev"},{"key":"3736_CR23","doi-asserted-by":"crossref","unstructured":"Kramer O (2010) A review of constraint-handling techniques for evolution strategies. Appl Comput Intell Soft Comput","DOI":"10.1155\/2010\/185063"},{"key":"3736_CR24","doi-asserted-by":"publisher","unstructured":"Kusakci AO, Can M (2013) An adaptive penalty based covariance matrix adaptation-evolution strategy. Comput Oper Res 40(10):2398\u20132417. \n                    https:\/\/doi.org\/10.1016\/j.cor.2013.03.013\n                    \n                  . \n                    http:\/\/www.sciencedirect.com\/science\/article\/pii\/S03050548HrB13000890HrB","DOI":"10.1016\/j.cor.2013.03.013"},{"key":"3736_CR25","doi-asserted-by":"publisher","unstructured":"Loshchilov I, Glasmachers T, Beyer HG (2018) Large scale black-box optimization by limited-memory matrix adaptation. IEEE Trans Evol Comput 1. \n                    https:\/\/doi.org\/10.1109\/TEVC.2018.2855049","DOI":"10.1109\/TEVC.2018.2855049"},{"key":"3736_CR26","doi-asserted-by":"crossref","unstructured":"Mallipeddi R, Suganthan PN (2010) Differential evolution with ensemble of constraint handling techniques for solving CEC 2010 benchmark problems. In: IEEE congress on evolutionary computation (CEC). IEEE, pp 1\u20138","DOI":"10.1109\/CEC.2010.5586330"},{"issue":"1","key":"3736_CR27","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1109\/TEVC.2004.836819","volume":"9","author":"E Mezura-Montes","year":"2005","unstructured":"Mezura-Montes E, Coello CAC (2005) A simple multimembered evolution strategy to solve constrained optimization problems. IEEE Trans Evol Comput 9(1):1\u201317. \n                    https:\/\/doi.org\/10.1109\/TEVC.2004.836819","journal-title":"IEEE Trans Evol Comput"},{"issue":"4","key":"3736_CR28","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1016\/j.swevo.2011.10.001","volume":"1","author":"E Mezura-Montes","year":"2011","unstructured":"Mezura-Montes E, Coello CAC (2011) Constraint-handling in nature-inspired numerical optimization: past, present and future. Swarm Evol Comput 1(4):173\u2013194","journal-title":"Swarm Evol Comput"},{"key":"3736_CR29","doi-asserted-by":"crossref","unstructured":"Oyman AI, Deb K, Beyer HG (1999) An alternative constraint handling method for evolution strategies. In: Angeline P (ed) Proceedings of the CEC\u201999 conference. IEEE, Piscataway, NJ, pp 612\u2013619","DOI":"10.1109\/CEC.1999.781989"},{"key":"3736_CR30","doi-asserted-by":"publisher","unstructured":"Pol\u00e1kov\u00e1 R (2017) L-SHADE with competing strategies applied to constrained optimization. In: 2017 IEEE congress on evolutionary computation (CEC), pp 1683\u20131689. \n                    https:\/\/doi.org\/10.1109\/CEC.2017.7969504","DOI":"10.1109\/CEC.2017.7969504"},{"key":"3736_CR31","volume-title":"Evolutionsstrategie Optimierung technischer Systeme nach Prinzipien der biologishen Evolution","author":"I Rechenberg","year":"1973","unstructured":"Rechenberg I (1973) Evolutionsstrategie Optimierung technischer Systeme nach Prinzipien der biologishen Evolution. Frommann-Holzboog, Stuttgart"},{"issue":"3","key":"3736_CR32","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1109\/4235.873238","volume":"4","author":"TP Runarsson","year":"2000","unstructured":"Runarsson TP, Yao X (2000) Stochastic ranking for constrained evolutionary optimization. IEEE Trans Evol Comput 4(3):284\u2013294. \n                    https:\/\/doi.org\/10.1109\/4235.873238","journal-title":"IEEE Trans Evol Comput"},{"key":"3736_CR33","doi-asserted-by":"publisher","unstructured":"Sakamoto N, Akimoto Y (2017) Modified box constraint handling for the covariance matrix adaptation evolution strategy. In: Proceedings of the genetic and evolutionary computation conference companion, GECCO \u201917. ACM, New York, NY, USA, pp 183\u2013184. \n                    https:\/\/doi.org\/10.1145\/3067695.3075986","DOI":"10.1145\/3067695.3075986"},{"key":"3736_CR34","volume-title":"Numerical optimization of computer models","author":"HP Schwefel","year":"1981","unstructured":"Schwefel HP (1981) Numerical optimization of computer models. Wiley, Hoboken"},{"key":"3736_CR35","unstructured":"Takahama T, Sakai S (2010) Constrained optimization by the \n                    \n                      \n                    \n                    $$\\varepsilon $$\n                    \n                      \n                        \u03b5\n                      \n                    \n                   constrained differential evolution with an archive and gradient-based mutation. In: IEEE congress on evolutionary computation (CEC). IEEE, pp 1\u20139"},{"key":"3736_CR36","first-page":"7","volume":"9","author":"MW Trosset","year":"1997","unstructured":"Trosset MW (1997) I know it when I see it: toward a definition of direct search methods. SIAG\/OPT Views News Forum SIAM Act Group Optim 9:7\u201310","journal-title":"SIAG\/OPT Views News Forum SIAM Act Group Optim"},{"key":"3736_CR37","first-page":"191","volume-title":"Numerical analysis 1995 (proceedings of the 1995 Dundee Biennial conference in numerical analysis), Pitman research notes in mathematics","author":"MH Wright","year":"1996","unstructured":"Wright MH (1996) Direct search methods: once scorned, now respectable. In: Griffiths DF, Watson GA (eds) Numerical analysis 1995 (proceedings of the 1995 Dundee Biennial conference in numerical analysis), Pitman research notes in mathematics, vol 344. CRC Press, Boca Raton, pp 191\u2013208"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-03736-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-018-03736-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-03736-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,9]],"date-time":"2020-01-09T19:08:01Z","timestamp":1578596881000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-018-03736-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,10]]},"references-count":37,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2019,8]]}},"alternative-id":["3736"],"URL":"https:\/\/doi.org\/10.1007\/s00500-018-03736-z","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"type":"print","value":"1432-7643"},{"type":"electronic","value":"1433-7479"}],"subject":[],"published":{"date-parts":[[2019,1,10]]},"assertion":[{"value":"10 January 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}