{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T20:39:30Z","timestamp":1761597570097,"version":"3.40.5"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,1,8]],"date-time":"2015-01-08T00:00:00Z","timestamp":1420675200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2015,6]]},"DOI":"10.1007\/s10589-014-9722-4","type":"journal-article","created":{"date-parts":[[2015,1,7]],"date-time":"2015-01-07T01:01:40Z","timestamp":1420592500000},"page":"489-515","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Terminating evolutionary algorithms at their steady state"],"prefix":"10.1007","volume":"61","author":[{"given":"Debora","family":"Gil","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Roche","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Agn\u00e9s","family":"Borr\u00e0s","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jes\u00fas","family":"Giraldo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,1,8]]},"reference":[{"key":"9722_CR1","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1162\/106365601750190370","volume":"9","author":"A Agapie","year":"2001","unstructured":"Agapie, A.: Theoretical analysis of mutation-adaptive evolutionary algorithms. Evol. Comput. 9, 127\u2013146 (2001)","journal-title":"Evol. Comput."},{"key":"9722_CR2","volume-title":"The Theory of Linear Models and Multivariate Observations","author":"S Arnold","year":"1997","unstructured":"Arnold, S.: The Theory of Linear Models and Multivariate Observations. Wiley, New York (1997)"},{"key":"9722_CR3","volume-title":"Regression Analysis. Theory, Methods and Applications","author":"S Ashish","year":"1990","unstructured":"Ashish, S., Srivastava, M.: Regression Analysis. Theory, Methods and Applications. Springer, New York (1990)"},{"key":"9722_CR4","doi-asserted-by":"crossref","unstructured":"Ashyraliyev, M., Fomekong-Nanfack, Y., Kaandorp, J., Blom, J.: Systems biology: parameter estimation for biochemical models. In: FEBS, pp. 886\u2013902 (2009)","DOI":"10.1111\/j.1742-4658.2008.06844.x"},{"key":"9722_CR5","doi-asserted-by":"crossref","unstructured":"Auger, A., Hansen, N.: A restart cma evolution strategy with increasing population size. In: CEC, pp. 1769\u20131776 (2005)","DOI":"10.1109\/CEC.2005.1554902"},{"key":"9722_CR6","doi-asserted-by":"crossref","first-page":"662","DOI":"10.1016\/S0377-2217(99)00321-5","volume":"126","author":"HKG Aytug","year":"2000","unstructured":"Aytug, H.K.G.: New stopping criterion for genetic algorithms. Eur. J. Oper. Res. 126, 662\u2013674 (2000)","journal-title":"Eur. J. Oper. Res."},{"key":"9722_CR7","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1109\/4235.585888","volume":"1","author":"T B\u00e4ck","year":"1997","unstructured":"B\u00e4ck, T., Hammel, U., Schwefel, H.: Evolutionary computation: comments on the history and current state. IEEE Trans. Evol. Comput. 1, 3\u201317 (1997)","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"1","key":"9722_CR8","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1214\/ss\/1177011077","volume":"8","author":"DJT Bertsimas","year":"1993","unstructured":"Bertsimas, D.J.T.: Simulated annealing. Stat. Sci. 8(1), 10\u201315 (1993)","journal-title":"Stat. Sci."},{"key":"9722_CR9","doi-asserted-by":"crossref","unstructured":"Bischl, B., Mersmann, O., Trautmann, H., Preuss, M.: Algorithm selection based on exploratory landscape analysis and cost-sensitive learning. In: GECCO, 14th Annual Conference on Genetic and Evolutionary Computation, pp. 313\u2013320. ACM, New York, USA (2012)","DOI":"10.1145\/2330163.2330209"},{"key":"9722_CR10","volume-title":"Genetic and Evolutionary Computation for Image Processing and Analysis","author":"S Cagnoni","year":"2008","unstructured":"Cagnoni, S., Lutton, E., Olague, G.: Genetic and Evolutionary Computation for Image Processing and Analysis. Hindawi Publishing Corporation, New York (2008)"},{"key":"9722_CR11","volume-title":"Numerical Mathematics and Computing","author":"W Cheney","year":"2008","unstructured":"Cheney, W., Kincaid, D.: Numerical Mathematics and Computing, 6th edn. Bob Pirtle, USA (2008)","edition":"6"},{"key":"9722_CR12","doi-asserted-by":"crossref","unstructured":"Das, S., Konar, A.: An improved differential evolution scheme for noisy optimization problems. In: Pat Rec Mac Int, no. 3776 in LNCS, pp. 417\u2013421 (2005)","DOI":"10.1007\/11590316_64"},{"key":"9722_CR13","unstructured":"Deb, K., Jain, S.: Running performance metrics for evolutionary multi-objective optimization. In: SEAL, pp. 13\u201320 (2002)"},{"key":"9722_CR14","unstructured":"Finck, S., Hansen, N., Ros, R., Auger, A.: Real Paraemter Black-Box Optimization Benchmarking 2009: Presentation of the Noiseless Functions. Technical Report 2009\/20, Research Center PPE (2009)"},{"key":"9722_CR15","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1002\/nme.2909","volume":"84","author":"T Goel","year":"2010","unstructured":"Goel, T., Stander, N.: A non-dominance-based online stopping criterion for multiobjective evolutionary algorithms. Int. J. Numer. Methods Eng. 84, 661\u2013684 (2010)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"9722_CR16","doi-asserted-by":"crossref","unstructured":"Guerrero, J., Marti, L., Garcia, J., Berlanga, A., Molina, J.: Introducing a robust and efficient stopping criterion for moeas. In: CEC, pp. 1\u20138 (2010)","DOI":"10.1109\/CEC.2010.5586265"},{"key":"9722_CR17","doi-asserted-by":"crossref","unstructured":"Hansen, N.: Benchmarking a BI-population CMA-ES on the BBOB-2009 function testbed. In: ACM-GECCO (2009)","DOI":"10.1145\/1570256.1570333"},{"key":"9722_CR18","doi-asserted-by":"crossref","unstructured":"Hansen, N., Auger, A., Ros, R., Finck, S., Pos\u00edk, P.: Comparing results of 31 algorithms from the black-box optimization benchmarking. In: GECCO, pp. 1689\u20131696 (2010)","DOI":"10.1145\/1830761.1830790"},{"key":"9722_CR19","unstructured":"Hansen, N., Finck, S., Ros, R., Auger, A.: Real-Parameter Black-Box Optimization Benchmarking 2009: Noiseless Functions Definitions. Technical Report RR-6829, INRIA (2009)"},{"key":"9722_CR20","doi-asserted-by":"crossref","unstructured":"Hansen, N., M\u00fcller, S.D., Koumoutsakos, P.: Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES). Evol. Comput. 11(1), 1\u201318 (2003)","DOI":"10.1162\/106365603321828970"},{"key":"9722_CR21","doi-asserted-by":"crossref","unstructured":"Kronfeld, M., Planatscher, H., Zell, A.: The EvA2 optimization framework. In: LION-SWOP, no. 6073 in LNCS, pp. 247\u2013250. Springer, New York (2010)","DOI":"10.1007\/978-3-642-13800-3_27"},{"key":"9722_CR22","doi-asserted-by":"crossref","unstructured":"Kwok, N.M., Ha, Q.P., Liu, D.K., Fang, G., Tan, K.C.: Efficient particle swarm optimization: a termination condition based on the decision-making approach. In: CEC, pp. 3353\u20133360 (2007)","DOI":"10.1109\/CEC.2007.4424905"},{"key":"9722_CR23","doi-asserted-by":"crossref","unstructured":"Marti, L., Garcia, J., Berlanga, A., Molina, J.: An approach to stopping criteria for multi-objective optimization evolutionary algorithms: the mgbm criterion. In: CEC, pp. 1263\u20131270 (2009)","DOI":"10.1109\/CEC.2009.4983090"},{"key":"9722_CR24","doi-asserted-by":"crossref","unstructured":"Mersmann, O., Bischl, B., Trautmann, H., Preuss, M., Weihs, C., Rudolph, G.: Exploratory landscape analysis. In: GECCO\u201911, pp. 829\u2013836 (2011)","DOI":"10.1145\/2001576.2001690"},{"key":"9722_CR25","doi-asserted-by":"crossref","unstructured":"Mersmann, O., Preuss, M., Trautmann, H.: Benchmarking evolutionary algorithms: towards exploratory landscape analysis. In: PPSN XI, Part I, LNCS 6238, pp. 73\u201382 (2010)","DOI":"10.1007\/978-3-642-15844-5_8"},{"issue":"6","key":"9722_CR26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.18637\/jss.v040.i06","volume":"40","author":"K Mullen","year":"2011","unstructured":"Mullen, K., Ardia, D., Gil, D., Windover, D., Cline, J.: DEoptim: an R package for global optimization by differential evolution. J. Stat. Softw. 40(6), 1\u201326 (2011)","journal-title":"J. Stat. Softw."},{"issue":"2","key":"9722_CR27","first-page":"28","volume":"1","author":"VR Pandi","year":"2010","unstructured":"Pandi, V.R., Panigrahi, B.K.: Comparative study of evolutionary computing methods for parameter estimation of power quality signals. IJAEC 1(2), 28\u201359 (2010)","journal-title":"IJAEC"},{"key":"9722_CR28","volume-title":"Differential Evolution: A Practical Approach to Global Optimization","author":"K Price","year":"2005","unstructured":"Price, K., Storn, R., Lampinen, J.: Differential Evolution: A Practical Approach to Global Optimization. Springer, New York (2005)"},{"issue":"6","key":"9722_CR29","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1109\/TEVC.2002.806167","volume":"6","author":"M Rizki","year":"2002","unstructured":"Rizki, M., Zmuda, M., Tamburino, L.: Evolving pattern recognition systems. IEEE Trans. Evol. Comput. 6(6), 594\u2013609 (2002)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"9722_CR30","unstructured":"Roche, D., Gil, D., Giraldo, J.: An inference model for analyzing termination conditions of evolutionary algorithms. In: CCiA Proceedings, pp. 216\u2013225 (2011)"},{"key":"9722_CR31","unstructured":"Roche, D., Gil, D., Giraldo, J.: Using statistical inference for designing termination conditions ensuring convergence of evolutionary algorithms. In: Proceedings of ECAL, pp. 680\u2013687 (2011)"},{"key":"9722_CR32","doi-asserted-by":"crossref","unstructured":"Roche, D., Gil, D., Giraldo, J.: Detecting loss of diversity for an efficient termination of EAs. In: SYNASC, IEEE Proceedings, pp. 563\u2013568 (2013)","DOI":"10.1109\/SYNASC.2013.79"},{"key":"9722_CR33","unstructured":"Rudenko, O., Schoenauer, M.: A steady performance stopping criterion for paretobased. In: Multi-Objective Programming and Goal Programming Conference (2004)"},{"key":"9722_CR34","volume-title":"Principles of Mathematical Analysis","author":"W Rudin","year":"1976","unstructured":"Rudin, W.: Principles of Mathematical Analysis, 3rd edn. McGraw-Hill Science, New York (1976)","edition":"3"},{"key":"9722_CR35","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1109\/72.265964","volume":"5","author":"G Rudolph","year":"1994","unstructured":"Rudolph, G.: Convergence analysis of canonical genetic algorithms. IEEE Trans. Neural Netw. 5, 96\u2013101 (1994)","journal-title":"IEEE Trans. Neural Netw."},{"key":"9722_CR36","doi-asserted-by":"crossref","unstructured":"Rudolph, G.: Finite markov chain results in evolutionary computation: a tour d\u2019horizon. Fundam. Inform. (1998)","DOI":"10.3233\/FI-1998-35123405"},{"key":"9722_CR37","doi-asserted-by":"crossref","unstructured":"Safe, M., Carballido, J., Ponzoni, I.: On stopping criteria for genetic algorithms. In: SBIA 2004, no. 3171 in LNCS, pp. 405\u2013413 (2004)","DOI":"10.1007\/978-3-540-28645-5_41"},{"key":"9722_CR38","volume-title":"Niching in Evolutionary Algorithms","author":"OM Shir","year":"2013","unstructured":"Shir, O.M.: Niching in Evolutionary Algorithms. Springer, New York (2013)"},{"key":"9722_CR39","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn, R., Price, K.: Differential evolution\u2014a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11, 341\u2013359 (1997)","journal-title":"J. Glob. Optim."},{"key":"9722_CR40","unstructured":"Tagetiren, M., Suganthan, P.: A multi-populated differential evolution algorithm for solving contrained optimization problem. In: CEC, pp. 340\u2013347 (2006)"},{"key":"9722_CR41","doi-asserted-by":"crossref","unstructured":"Thomsen, R.: Multimodal optimization using crowding-based differential evolution. No. vol 2 in CEC2004, pp. 1382\u20131389 (2004)","DOI":"10.1109\/CEC.2004.1331058"},{"key":"9722_CR42","doi-asserted-by":"crossref","unstructured":"Vesterstrom, J., Thomsen, R.: A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems. In: CEC, pp. 1980\u20131987 (2004)","DOI":"10.1109\/CEC.2004.1331139"},{"key":"9722_CR43","doi-asserted-by":"crossref","unstructured":"Wagner, T., Trautmann, H., Mart\u00ed, L.: A taxonomy of online stopping criteria for multi-objective evolutionary algorithms. In: EMO\u201911, pp. 16\u201330 (2011)","DOI":"10.1007\/978-3-642-19893-9_2"},{"key":"9722_CR44","doi-asserted-by":"crossref","unstructured":"Wagner, T., Trautmann, H., Naujoks, B.: Ocd: online convergence detection for evolutionary multi-objective algorithms based on statistical testing. In: EMO, pp. 198\u2013215 (2009)","DOI":"10.1007\/978-3-642-01020-0_19"},{"issue":"2","key":"9722_CR45","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/j.cie.2005.01.018","volume":"48","author":"W Xia","year":"2005","unstructured":"Xia, W., Wu, Z.: An effective hybrid optimization approach for multi-objective flexible job-shop scheduling problems. Comput. Ind. Eng. 48(2), 409\u2013425 (2005)","journal-title":"Comput. Ind. Eng."},{"key":"9722_CR46","unstructured":"Zaharie, D.: Critical values for the control parameters of differential evolution algorithm. In: MENDEL, pp. 62\u201367 (2002)"},{"key":"9722_CR47","unstructured":"Zaharie, D.: A compartive analysis of crossover variants in differential evolution. In: Proceedings of the International Conference on Computer Science and Information Technology, pp. 171\u2013181 (2007)"},{"key":"9722_CR48","doi-asserted-by":"crossref","unstructured":"Zielinski, K., Laur, R.: Stopping criteria for differential evolution in constrained single-objective optimization. In: Studies in Computational Intelligence, No. 143 in Advances in Differential Evolution, pp. 111\u2013138 (2008)","DOI":"10.1007\/978-3-540-68830-3_4"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-014-9722-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-014-9722-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-014-9722-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T03:34:24Z","timestamp":1747366464000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-014-9722-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,8]]},"references-count":48,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,6]]}},"alternative-id":["9722"],"URL":"https:\/\/doi.org\/10.1007\/s10589-014-9722-4","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"type":"print","value":"0926-6003"},{"type":"electronic","value":"1573-2894"}],"subject":[],"published":{"date-parts":[[2015,1,8]]}}}