{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,25]],"date-time":"2026-04-25T07:26:56Z","timestamp":1777102016745,"version":"3.51.4"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2013,10,26]],"date-time":"2013-10-26T00:00:00Z","timestamp":1382745600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Struct Multidisc Optim"],"published-print":{"date-parts":[[2014,5]]},"DOI":"10.1007\/s00158-013-1010-x","type":"journal-article","created":{"date-parts":[[2013,10,25]],"date-time":"2013-10-25T17:52:53Z","timestamp":1382723573000},"page":"771-793","source":"Crossref","is-referenced-by-count":49,"title":["Evolutionary robustness analysis for multi-objective optimization: benchmark problems"],"prefix":"10.1007","volume":"49","author":[{"given":"Ant\u00f3nio","family":"Gaspar-Cunha","sequence":"first","affiliation":[]},{"given":"Jose","family":"Ferreira","sequence":"additional","affiliation":[]},{"given":"Gustavo","family":"Recio","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,10,26]]},"reference":[{"key":"1010_CR1","doi-asserted-by":"crossref","unstructured":"Barrico C, Antunes CH, Pires DF (2009) Robustness analysis in evolutionary multi-objective optimization applied to var planning in electrical distribution networks. In: Lecture notes in computer science, vol 5482. Springer, pp 216\u2013227","DOI":"10.1007\/978-3-642-01009-5_19"},{"key":"1010_CR2","volume-title":"Evolutionary design by computers","author":"P Bentley","year":"1999","unstructured":"Bentley P (1999) Evolutionary design by computers. Morgan Kaufmann, San Francisco"},{"issue":"4","key":"1010_CR3","doi-asserted-by":"crossref","first-page":"884","DOI":"10.1115\/1.2202889","volume":"128","author":"B Besharati","year":"2005","unstructured":"Besharati B, Luo L, Azarm S, PK K (2005) Multi-objective single product robust optimization: An integrated design and marketing approach. J Mech Des 128(4):884\u2013892","journal-title":"J Mech Des"},{"key":"1010_CR4","doi-asserted-by":"crossref","unstructured":"Beyer HG, Sendhoff B (2007) Robust optimization: a comprehensive survey. Comput Methods Appl Mech Eng 3190\u20133218","DOI":"10.1016\/j.cma.2007.03.003"},{"key":"1010_CR5","doi-asserted-by":"crossref","unstructured":"Branke J (1998) Creating robust solutions by means of an evolutionary algorithm. Parallel Probl Solv Nat 119\u2013128","DOI":"10.1007\/BFb0056855"},{"key":"1010_CR6","doi-asserted-by":"crossref","unstructured":"Branke J (2000) Efficient evolutionary algorithms for searching robust solutions. ACDM 275\u2013286","DOI":"10.1007\/978-1-4471-0519-0_22"},{"key":"1010_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-88908-3","volume-title":"Multiobjective optimization: interactive and evolutionary approaches, LNCS","author":"J Branke","year":"2008","unstructured":"Branke J, Deb K, Miettinen K, Slowinski R (2008) Multiobjective optimization: interactive and evolutionary approaches, LNCS. Springer, Berlin, Heidelberg"},{"key":"1010_CR8","volume-title":"Evolutionary algorithms for solving multi-objective problems (Genetic and evolutionary computation)","author":"CA Coello","year":"2006","unstructured":"Coello CA, Lamont GB, Veldhuizen D A V (2006) Evolutionary algorithms for solving multi-objective problems (Genetic and evolutionary computation). Springer-Verlag New York, Inc., Secaucus"},{"issue":"1","key":"1010_CR9","doi-asserted-by":"crossref","first-page":"2060,047","DOI":"10.1002\/pamm.200700561","volume":"7","author":"L Costa","year":"2007","unstructured":"Costa L, Oliveira P (2007) Dimension reduction in multiobjective optimization. PAMM 7(1):2060,047\u20132060,048","journal-title":"PAMM"},{"key":"1010_CR10","unstructured":"Damen A, Weiland S (2002) Robust control. Tech. Rep. 5P430, Eindhoven, The Netherlands: Dept. Elect. Eng., Univ. Technol."},{"key":"1010_CR11","volume-title":"Multi-objective optimization using evolutionary algorithms","author":"K Deb","year":"2001","unstructured":"Deb K (2001) Multi-objective optimization using evolutionary algorithms. Wiley, New York"},{"key":"1010_CR12","unstructured":"Deb K, Goldberg DE (1989) An investigation of niche and species formation in genetic function optimization. In: Proceedings of the third international conference on genetic algorithms. Morgan Kaufmann, pp 42\u201350"},{"issue":"4","key":"1010_CR13","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1162\/evco.2006.14.4.463","volume":"14","author":"K Deb","year":"2006","unstructured":"Deb K, Gupta H (2006) Introducing robustness in multi-objective optimization. Evol Comput 14(4):463\u2013494","journal-title":"Evol Comput"},{"issue":"2","key":"1010_CR14","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 multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182\u2013197","journal-title":"IEEE Trans Evol Comput"},{"key":"1010_CR15","unstructured":"Ferreira J, Fonseca C, Gaspar-Cunha A (2007) Selection of solutions in a multi-objective environment: polymer extrusion a case study. In: Evolutionary methods for design, optimization and control. CIMNE, Barcelona, pp 197\u2013202"},{"key":"1010_CR16","doi-asserted-by":"crossref","unstructured":"Ferreira J, Fonseca CM, Covas JA, Gaspar-Cunha A (2008) Evolutionary multi-objective robust optimization. In: Kosinski W (ed) Advances in evolutionary algorithms, pp 261\u2013278","DOI":"10.5772\/6127"},{"key":"1010_CR17","unstructured":"Fonseca CM, Fleming PJ (1993) Genetic algorithms for multiobjective optimization: formulation, discussion and generalization"},{"key":"1010_CR18","volume-title":"Modeling and optimization of single screw extrusion","author":"A Gaspar-Cunha","year":"2009","unstructured":"Gaspar-Cunha A (2009) Modeling and optimization of single screw extrusion. Lambert Academic Publishing, Koln"},{"key":"1010_CR19","doi-asserted-by":"crossref","unstructured":"Gaspar-Cunha A, Covas J (2004) RPSGAe \u2013 reduced Pareto set genetic algorithm: application to polymer extrusion. In: Metaheuristics for multiobjective optimisation. Springer, Berlin, Heidelberg, pp 221\u2013249","DOI":"10.1007\/978-3-642-17144-4_9"},{"key":"1010_CR20","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s10589-007-9053-9","volume":"39","author":"A Gaspar-Cunha","year":"2008","unstructured":"Gaspar-Cunha A, Covas J (2008) Robustness in multi-objective optimization using evolutionary algorithms. Comput Optim Appl 39:75\u201396","journal-title":"Comput Optim Appl"},{"key":"1010_CR21","unstructured":"Gaspar-Cunha A, Vieira A (2004) A hybrid multi-objective evolutionary algorithm using an inverse neural network. In: Hybrid Metaheuristics (HM 2004). Workshop at ECAI, Valencia, pp 25\u201330"},{"key":"1010_CR22","unstructured":"Goldberg D, Richardson J (1987) Genetic algorithms with sharing for multimodal function optimization. In: Proceedings of second international conference on genetic algorithms. Morgan Kaufmann, pp 41\u201349"},{"key":"1010_CR23","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1007\/s00158-004-0450-8","volume":"29","author":"S Gunawan","year":"2005","unstructured":"Gunawan S, Azarm S (2005) Multi-objective robust optimization using a sensitivity region concept. Struct Multidiscip Optim 29:50\u201360","journal-title":"Struct Multidiscip Optim"},{"key":"1010_CR24","doi-asserted-by":"crossref","unstructured":"Horn J, Nafpliotis N, Goldberg DE (1994) A niched Pareto genetic algorithm for multiobjective optimization. In: Proceedings of the first IEEE conference on evolutionary computation, IEEE world congress on computational intelligence, pp 82\u201387","DOI":"10.1109\/ICEC.1994.350037"},{"issue":"6","key":"1010_CR25","doi-asserted-by":"crossref","first-page":"061,002","DOI":"10.1115\/1.4003918","volume":"133","author":"W Hu","year":"2011","unstructured":"Hu W, Azarm S, Almansoori A (2011) Multi-objective robust optimization under interval uncertainty using online approximation and constraint cuts. J Mech Des 133(6):061,002\u2013061,002\u20139","journal-title":"J Mech Des"},{"issue":"1","key":"1010_CR26","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s00158-012-0816-2","volume":"47","author":"W Hu","year":"2012","unstructured":"Hu W, Azarm S, Almansoori A, Li M (2012) New Approximation Assisted Multi-objective collaborative Robust Optimization (new AA-McRO) under interval uncertainty. Struct Multidiscip Optim 47(1):19\u201335","journal-title":"Struct Multidiscip Optim"},{"issue":"3","key":"1010_CR27","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1109\/TEVC.2005.846356","volume":"9","author":"Y Jin","year":"2005","unstructured":"Jin Y, Branke J (2005) Evolutionary optimization in uncertain environments-a survey. IEEE Transactions on Evolutionary Computation 9(3):303\u2013317","journal-title":"IEEE Transactions on Evolutionary Computation"},{"key":"1010_CR28","doi-asserted-by":"crossref","unstructured":"Jin Y, Sendhoff B (2003) Trade-off between performance and robustness: An evolutionary multiobjective approach. In: Proceedings of second international conference on evolutionary multi-criteria optimization. LNCS 2632, Springer, pp 237\u2013251","DOI":"10.1007\/3-540-36970-8_17"},{"key":"1010_CR29","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1109\/TEVC.2002.800884","volume":"6","author":"Y Jin","year":"2002","unstructured":"Jin Y, Olhofer M, Sendhof B (2002). IEEE Trans Evol Comput 6:481\u2013494","journal-title":"IEEE Trans Evol Comput"},{"key":"1010_CR30","volume-title":"Optimal structural design","author":"U Kirsch","year":"1981","unstructured":"Kirsch U (1981) Optimal structural design. McGraw-Hill, New York"},{"issue":"2","key":"1010_CR31","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1109\/TEVC.2003.810755","volume":"7","author":"J Knowles","year":"2003","unstructured":"Knowles J, Corne D (2003) Properties of an adaptive archiving algorithm for storing nondominated vectors. IEEE Trans Evol Comput 7(2):100\u2013116","journal-title":"IEEE Trans Evol Comput"},{"issue":"2","key":"1010_CR32","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1162\/106365600568167","volume":"8","author":"JD Knowles","year":"2000","unstructured":"Knowles JD, Corne DW (2000) Approximating the nondominated front using the Pareto archived evolution strategy. Evol Comput 8(2):149\u2013172","journal-title":"Evol Comput"},{"key":"1010_CR33","doi-asserted-by":"crossref","unstructured":"Lee J, Kwon YS (2013) Conservative multi-objective optimization considering design robustness and tolerance: a quality engineering design approach. Struct Multidiscip Optim 259\u2013272","DOI":"10.1007\/s00158-012-0823-3"},{"key":"1010_CR34","doi-asserted-by":"crossref","unstructured":"Li M, Azarm S, Aute V (2005a) A multi-objective genetic algorithm for robust design optimization. Mech Eng 771\u2013778","DOI":"10.1145\/1068009.1068140"},{"issue":"4","key":"1010_CR35","doi-asserted-by":"crossref","first-page":"874","DOI":"10.1115\/1.2202884","volume":"128","author":"M Li","year":"2005b","unstructured":"Li M, Boyars A, Azarm S (2005b) A new deterministic approach using sensitivity region measures for multi-objective robust and feasibility robust design optimization. J Mech Des 128(4):874\u2013883","journal-title":"J Mech Des"},{"issue":"10","key":"1010_CR36","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1080\/03052150902853005","volume":"41","author":"M Li","year":"2009","unstructured":"Li M, Azarm S, Williams N, Al Hashimi S, Almansoori A, Al Qasas N (2009) Integrated multi-objective robust optimization and sensitivity analysis with irreducible and reducible interval uncertainty. Eng Optim 41(10):889\u2013908","journal-title":"Eng Optim"},{"key":"1010_CR37","volume-title":"Design and analysis of experiments","author":"DC Montgomery","year":"2001","unstructured":"Montgomery DC (2001) Design and analysis of experiments. Wiley, New York"},{"key":"1010_CR38","doi-asserted-by":"crossref","unstructured":"Ray T (2002) Constrained robust optimal design using a multiobjective evolutionary algorithm. In: Proceedings of the 2002 congress on evolutionary computation, vol 1, pp 419 \u2013424","DOI":"10.1109\/CEC.2002.1006271"},{"key":"1010_CR39","doi-asserted-by":"crossref","unstructured":"Saha A, Ray T (2011) Practical robust design optimization using evolutionary algorithms. J Mech Des 13:101012","DOI":"10.1115\/1.4004807"},{"key":"1010_CR40","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1162\/evco.1994.2.3.221","volume":"2","author":"N Srinivas","year":"1994","unstructured":"Srinivas N, Deb K (1994) Multiobjective optimization using nondominated sorting in genetic algorithms. Evol Comput 2:221\u2013248","journal-title":"Evol Comput"},{"issue":"3","key":"1010_CR41","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1109\/4235.661550","volume":"1","author":"S Tsutsui","year":"1997","unstructured":"Tsutsui S, Ghosh A (1997) Genetic algorithms with a robust solution searching scheme. IEEE Trans Evol Comput 1(3):201\u2013208","journal-title":"IEEE Trans Evol Comput"},{"key":"1010_CR42","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1109\/4235.738986","volume":"2","author":"D Wiesmann","year":"1998","unstructured":"Wiesmann D, Hammel U, B\u00e4ck T (1998) Robust design of multilayer optical coatings by means of evolution strategies. IEEE Trans Evol Comput 2:162\u2013167","journal-title":"IEEE Trans Evol Comput"},{"issue":"4","key":"1010_CR43","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/S0266-8920(99)00036-3","volume":"15","author":"K \u017eiha","year":"2000","unstructured":"\u017eiha K (2000) Redundancy and robustness of systems of events. Probab Eng Mech 15(4):347\u2013357","journal-title":"Probab Eng Mech"},{"key":"1010_CR44","volume-title":"Spea2: Improving the strength Pareto evolutionary algorithm. Tech. Rep. 103","author":"E Zitzler","year":"2001","unstructured":"Zitzler E, Laumanns M, Thiele L (2001) Spea2: Improving the strength Pareto evolutionary algorithm. Tech. Rep. 103. Swiss Federal Institute of Technology, Zurich"}],"container-title":["Structural and Multidisciplinary Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00158-013-1010-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00158-013-1010-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00158-013-1010-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,31]],"date-time":"2019-07-31T09:53:23Z","timestamp":1564566803000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00158-013-1010-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10,26]]},"references-count":44,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2014,5]]}},"alternative-id":["1010"],"URL":"https:\/\/doi.org\/10.1007\/s00158-013-1010-x","relation":{},"ISSN":["1615-147X","1615-1488"],"issn-type":[{"value":"1615-147X","type":"print"},{"value":"1615-1488","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,10,26]]}}}