{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T15:51:48Z","timestamp":1778773908126,"version":"3.51.4"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,1,13]],"date-time":"2015-01-13T00:00:00Z","timestamp":1421107200000},"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":["Appl Intell"],"published-print":{"date-parts":[[2015,7]]},"DOI":"10.1007\/s10489-014-0619-9","type":"journal-article","created":{"date-parts":[[2015,1,11]],"date-time":"2015-01-11T21:13:09Z","timestamp":1421010789000},"page":"49-73","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Modified differential evolution algorithm using a new diversity maintenance strategy for multi-objective optimization problems"],"prefix":"10.1007","volume":"43","author":[{"given":"Bili","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yangbin","family":"Lin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenhua","family":"Zeng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Defu","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yain-Whar","family":"Si","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,1,13]]},"reference":[{"issue":"2","key":"619_CR1","doi-asserted-by":"crossref","first-page":"2845","DOI":"10.1016\/j.asoc.2010.11.014","volume":"11","author":"M Basu","year":"2011","unstructured":"Basu M (2011) Economic environmental dispatch using multi-objective differential evolution. Appl Soft Comput 11(2):2845\u20132853","journal-title":"Appl Soft Comput"},{"issue":"4","key":"619_CR2","doi-asserted-by":"crossref","first-page":"788","DOI":"10.1016\/j.enconman.2009.10.036","volume":"51","author":"H Qin","year":"2010","unstructured":"Qin H, Zhou J, Lu Y, Wang Y, Zhang Y (2010) Multi-objective differential evolution with adaptive Cauchy mutation for short-term multi-objective optimal hydro-thermal scheduling. Energy Convers Manage 51(4):788\u2013794","journal-title":"Energy Convers Manage"},{"key":"619_CR3","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/j.ijheatmasstransfer.2012.12.047","volume":"60","author":"S Fettaka","year":"2013","unstructured":"Fettaka S, Thibault J, Gupta Y (2013) Design of shell-and-tube heat exchangers using multiobjective optimization. Int J Heat Mass Transfer 60:343\u2013354","journal-title":"Int J Heat Mass Transfer"},{"key":"619_CR4","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.ijepes.2013.04.003","volume":"53","author":"S Panda","year":"2013","unstructured":"Panda S, Yegireddy NK (2013) Automatic generation control of multi-area power system using multi-objective non-dominated sorting genetic algorithm-II. Int J Electrical Power Energy Syst 53:54\u201363","journal-title":"Int J Electrical Power Energy Syst"},{"issue":"2","key":"619_CR5","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1007\/s10489-010-0264-x","volume":"36","author":"MJ Gacto","year":"2012","unstructured":"Gacto MJ, Alcal\u00e1 R, Herrera F (2012) A multi-objective evolutionary algorithm for an effective tuning of fuzzy logic controllers in heating, ventilating and air conditioning systems. Appl Intell 36(2):330\u2013347","journal-title":"Appl Intell"},{"issue":"2","key":"619_CR6","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/4235.996017","volume":"6","author":"K Deb","year":"2002","unstructured":"Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182\u2013197","journal-title":"IEEE Trans Evol Comput"},{"issue":"6","key":"619_CR7","doi-asserted-by":"crossref","first-page":"712","DOI":"10.1109\/TEVC.2007.892759","volume":"1","author":"QF Zhang","year":"2007","unstructured":"Zhang QF, Li H (2007) MOEA\/D: A multiobjective evolutionary algorithm based on decomposition. IEEE Trans Evol Comput 1(6):712\u2013731","journal-title":"IEEE Trans Evol Comput"},{"key":"619_CR8","unstructured":"Storn R, Price K (1995) Differential evolution-A simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report TR- 95-012, Berkeley"},{"issue":"4","key":"619_CR9","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn R, Price K (1997) Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341\u2013359","journal-title":"J Glob Optim"},{"key":"619_CR10","doi-asserted-by":"crossref","unstructured":"Abbass HA, Sarker R, Newton C (2001) PDE: a pareto-frontier differential evolution approach for multi-objective optimization problems. In: Proceedings of the IEEE congress on evolutionary computation (CEC\u20192001), Piscataway, pp 971\u2013978","DOI":"10.1109\/CEC.2001.934295"},{"key":"619_CR11","doi-asserted-by":"crossref","unstructured":"Abbass HA (2002) The self-adaptive Pareto differential evolution algorithm. In: Proceedings of the IEEE congress on evolutionary computation (CEC\u20192003), Honolulu, pp 831\u2013836","DOI":"10.1109\/CEC.2002.1007033"},{"key":"619_CR12","doi-asserted-by":"crossref","unstructured":"Madavan NK (2002) Multiobjective optimization using a Pareto differential evolution approach. In: Proceedings of the congress on evolutionary computation (CEC\u20192003), Honolulu, pp 1145\u2013 1150","DOI":"10.1109\/CEC.2002.1004404"},{"key":"619_CR13","unstructured":"Babu BV, Mathew M, Jehan L (2003) Differential evolution for multi-objective optimization. In: Proceedings of the IEEE congress on evolutionary computation (CEC\u2019 2003), Canberra, pp 2696\u20132703"},{"key":"619_CR14","unstructured":"Xue F, Sanderson AC, Graves RJ (2003) Pareto-based multi-objective differential evolution. In: Proceedings of the Congress on Evolutionary Computation 2003 (CEC\u20192003), Canberra, pp 862\u2013869"},{"key":"619_CR15","doi-asserted-by":"crossref","unstructured":"Iorio AW, Li X (2004) Solving rotated multi-objective optimization problems using differential evolution. In: Proceedings of advances in artificial intelligence (AI\u20192004), pp 861\u2013872","DOI":"10.1007\/978-3-540-30549-1_74"},{"key":"619_CR16","unstructured":"Parsopoulos KE, Tasoulis DK, Pavlidis NG, Plagianakos VP (2004) Vector evaluated differential evolution for multi-objective optimization. In: Proceedings of the IEEE congress on evolutionary computation (CEC\u20192004), Portland, pp 204\u2013211"},{"key":"619_CR17","doi-asserted-by":"crossref","unstructured":"Kukkonen S, Lampinen J (2004) An extension of generalized differential evolution for multi-objective optimization with constraints. In: Parallel problem solving from nature (PPSN\u20192004). Springer, Berlin Heidelberg, pp 752\u2013761","DOI":"10.1007\/978-3-540-30217-9_76"},{"key":"619_CR18","doi-asserted-by":"crossref","unstructured":"Kukkonen S, Lampinen J (2005) GDE3: the third evolution step of generalized differential evolution. In: Proceedings of the IEEE congress on evolutionary computation (CEC\u20192005), Edinburgh, pp 443\u2013450","DOI":"10.1109\/CEC.2005.1554717"},{"key":"619_CR19","unstructured":"Robic T, Filipic B (2005) DEMO: Differential evolution for multi-objective optimization. In: Proceedings of the 3rd International Conference on Evolutionary MultiCriterion Optimization (EMO\u20192005). Springer, Berlin Heidelberg, pp 520\u2013533"},{"key":"619_CR20","doi-asserted-by":"crossref","unstructured":"Hern\u00e1ndez-D\u00edaz AG, Santana-Quintero LV, Coello Coello C, Caballero R, Molina J (2006) A new proposal for multi-objective optimization using differential evolution and rough sets theory. In: Proceedings of the 8th annual conference on genetic and evolutionary computation (CEC\u2019 2006), Seattle, pp 675\u2013682","DOI":"10.1145\/1143997.1144117"},{"key":"619_CR21","doi-asserted-by":"crossref","unstructured":"Zhang J, Sanderson AC (2008) Self-adaptive multi-objective differential evolution with direction information provided by archived inferior solutions. In: Proceedings of the IEEE congress on evolutionary computation (CEC\u20192008), Hongkong, pp 2801\u20132810","DOI":"10.1109\/CEC.2008.4631174"},{"key":"619_CR22","doi-asserted-by":"crossref","unstructured":"Huang VL, Qin AK, Suganthan PN, Tasgetiren MF (2007) Multi-objective optimization based on self adaptive differential evolution algorithm. In: Proceedings of the Congress on Evolutionary Computation(CEC\u20192007), Singapore, pp 3601\u20132608","DOI":"10.1109\/CEC.2007.4424939"},{"key":"619_CR23","doi-asserted-by":"crossref","unstructured":"Huang VL, Zhao SZ, Mallipeddi R, Suganthan PN (2009) Multi-objective optimization using self adaptive differential evolution algorithm. In: Proceedings of the Congress on Evolutionary Computation (CEC\u20192009), Trondheim, pp 190\u2013194","DOI":"10.1109\/CEC.2009.4982947"},{"issue":"3","key":"619_CR24","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s00500-008-0394-9","volume":"14","author":"YN Wang","year":"2010","unstructured":"Wang YN, Wu LH, Yuan XF (2010) Multi-objective self-adaptive differential evolution with elitist archive and crowding entropy-based diversity measure. Soft Comput 14(3):193\u2013209","journal-title":"Soft Comput"},{"issue":"2","key":"619_CR25","first-page":"404","volume":"217","author":"M Ali","year":"2012","unstructured":"Ali M, Siarry P, Pant M (2012) An efficient differential evolution based algorithm for solving multi-objective optimization problems. Eur J Oper Res 217(2):404\u2013416","journal-title":"Eur J Oper Res"},{"key":"619_CR26","doi-asserted-by":"crossref","unstructured":"Ali M, Pant M, Abraham A (2009) A modified differential evolution algorithm and its application to engineering problems. In: Proceedings of International Conference of Soft Computing and Pattern Recognition (SoCPaR\u20192009), Malacca, pp 196\u2013 201","DOI":"10.1109\/SoCPaR.2009.48"},{"issue":"2","key":"619_CR27","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1109\/TEVC.2008.925798","volume":"13","author":"H Li","year":"2009","unstructured":"Li H, Zhang QF (2009) Multi-objective optimization problems with complicated Pareto sets, MOEA\/D and NSGA-II. IEEE Trans Evol Comput 13(2):284\u2013302","journal-title":"IEEE Trans Evol Comput"},{"key":"619_CR28","first-page":"1","volume":"2014","author":"BL Chen","year":"2014","unstructured":"Chen BL, Zeng WH, Lin YB, Zhang DF (2014) An Enhanced Differential Evolution Based Algorithm with Simulated Annealing for Solving Multiobjective Optimization Problems. J Appl Math 2014:1\u201313","journal-title":"J Appl Math"},{"key":"619_CR29","doi-asserted-by":"crossref","unstructured":"Kukkonen S, Deb K (2006) In Parallel Problem Solving from Nature\u2014PPSN 9th of Lecture Notes in Computer Science, vol 4193, pp 553\u2013562","DOI":"10.1007\/11844297_56"},{"key":"619_CR30","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.ins.2012.06.007","volume":"213","author":"YY Tan","year":"2012","unstructured":"Tan YY, Jiao YC, Li H, Wang XK (2012) A modification to MOEA\/D-DE for multiobjective optimization problems with complicated Pareto sets. Inform Sci 213:14\u201338","journal-title":"Inform Sci"},{"issue":"3","key":"619_CR31","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/S0888-613X(02)00090-7","volume":"31","author":"PAN Bosman","year":"2002","unstructured":"Bosman PAN, Thierens D (2002) Multiobjective optimization with diversity preserving mixture-based iterated density estimation evolutionary algorithm. Int J Approx Reasoning 31(3):259\u2013289","journal-title":"Int J Approx Reasoning"},{"key":"619_CR32","doi-asserted-by":"crossref","unstructured":"Laumanns M, Ocenasek J (2002) Bayesian optimization algorithms for multi-objective optimization. In: PPSN 7th of Lecture notes in computer science, vol 2439. Springer, Berlin, pp 298\u2013307","DOI":"10.1007\/3-540-45712-7_29"},{"key":"619_CR33","doi-asserted-by":"crossref","unstructured":"Zitzler E, K\u00fcnzli S (2004) Indicator-based selection in multiobjective search. In: PPSN 8th of Lecture notes in computer science, vol 3242. Springer, Berlin, pp 832\u2013842","DOI":"10.1007\/978-3-540-30217-9_84"},{"issue":"3","key":"619_CR34","first-page":"231","volume":"3","author":"WA Chang","year":"2010","unstructured":"Chang WA, Ramakrishna RS (2010) A diversity preserving selection in multiobjective evolutionary algorithms. Appl Intell 3(3):231\u2013248","journal-title":"Appl Intell"},{"key":"619_CR35","doi-asserted-by":"crossref","unstructured":"Menchaca-Mendez A, Coello Coello CA (2012) Solving multi-objective optimization problems using differential evolution and a maximin selection criterion. In: IEEE Congress on Evolutionary Computation (CEC), pp 1\u20138","DOI":"10.1109\/CEC.2012.6252953"},{"key":"619_CR36","doi-asserted-by":"crossref","unstructured":"Luo B, Zheng J, Xie J, Wu J (2008) Dynamic crowding distance? A new diversity maintenance strategy for MOEAs. In: Fourth International Conference on Natural Computation (ICNC\u201908), pp 580\u2013585","DOI":"10.1109\/ICNC.2008.532"},{"key":"619_CR37","unstructured":"Saku K, Deb K (2006) Improved pruning of non-dominated solutions based on crowding distance for bi-objective optimization problems. In: Proceedings of the World Congress on Computational Intelligence (WCCI\u20192006), Vancouver, pp 1179\u20131186"},{"key":"619_CR38","doi-asserted-by":"crossref","unstructured":"Hallam N, Blanchfield P, Kendall G (2005) Handling diversity in evolutionary multiobjective optimization. In: Proceedings of the Congress on Evolutionary Computation (CEC\u20192009), pp 2233\u20132240","DOI":"10.1109\/CEC.2005.1554972"},{"issue":"5","key":"619_CR39","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1109\/TEVC.2003.817234","volume":"7","author":"MT Jensen","year":"2003","unstructured":"Jensen MT (2003) Reducing the run-time complexity of multiobjective EAs: The NSGA-II and other algorithms. IEEE Trans Evol Comput 7(5):503\u2013515","journal-title":"IEEE Trans Evol Comput"},{"issue":"2","key":"619_CR40","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1162\/106365600568202","volume":"8","author":"E Zitzler","year":"2000","unstructured":"Zitzler E, Deb K, Thiele L (2000) Comparison of multiobjective evolutionary algorithms: Empirical results. Evol Comput 8(2):173\u2013195","journal-title":"Evol Comput"},{"key":"619_CR41","unstructured":"Zhang QF, Zhou A, Zhao SZ, Suganthan PN, Liu WD, Tiwari S (2008) Multiobjective optimization test instances for the CEC 2009 special session and competition. Technical Report. University of Essex, Colchester, UK and Nanyang Technological University, Singapore"},{"issue":"2","key":"619_CR42","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1109\/TEVC.2003.810758","volume":"7","author":"E Zitzler","year":"2003","unstructured":"Zitzler E, Thiele L, Laumanns M, Fonseca CM, daFonseca VG (2003) Performance assessment of multiobjective optimizers: An analysis and review. IEEE Trans Evol Comput 7(2):117\u201313","journal-title":"IEEE Trans Evol Comput"},{"key":"619_CR43","unstructured":"Van Veldhuizen DA, Lamont GB (1998) Multiobjective evolutionary algorithm research: a history and analysis. Technical report, Department of Electrical and Computer Engineering. Graduate School of Engineering, Air Force Inst Technol, Wright Patterson"},{"key":"619_CR44","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1007\/s10732-008-9080-4","volume":"15","author":"S Garcia","year":"2009","unstructured":"Garcia S, Molina D, Lozano M, Herrera F (2009) A Study on the use of nonparametric tests for analyzing the evolutionary algorithms\u2019 behaviour: A case study on the CEC\u20192005 special session on real parameter optimization. J Heuristics 15:617\u2013644","journal-title":"J Heuristics"}],"container-title":["Applied Intelligence"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-014-0619-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10489-014-0619-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-014-0619-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,19]],"date-time":"2019-08-19T10:41:56Z","timestamp":1566211316000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10489-014-0619-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,13]]},"references-count":44,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,7]]}},"alternative-id":["619"],"URL":"https:\/\/doi.org\/10.1007\/s10489-014-0619-9","relation":{},"ISSN":["0924-669X","1573-7497"],"issn-type":[{"value":"0924-669X","type":"print"},{"value":"1573-7497","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,13]]}}}