{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T11:10:03Z","timestamp":1768821003374,"version":"3.49.0"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2011,7,7]],"date-time":"2011-07-07T00:00:00Z","timestamp":1309996800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["OR Spectrum"],"published-print":{"date-parts":[[2012,10]]},"DOI":"10.1007\/s00291-011-0266-z","type":"journal-article","created":{"date-parts":[[2011,7,6]],"date-time":"2011-07-06T19:41:06Z","timestamp":1309981266000},"page":"803-816","source":"Crossref","is-referenced-by-count":25,"title":["Trade-off analysis approach for interactive nonlinear multiobjective optimization"],"prefix":"10.1007","volume":"34","author":[{"given":"Petri","family":"Eskelinen","sequence":"first","affiliation":[]},{"given":"Kaisa","family":"Miettinen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,7,7]]},"reference":[{"key":"266_CR1","first-page":"42","volume-title":"Multiple criteria problem solving, vol 155","author":"V Chankong","year":"1977","unstructured":"Chankong V, Haimes YY (1977) The interactive surrogate worth trade-off (ISWT) method for multiobjective decision making. In: Zionts S (eds) Multiple criteria problem solving, vol 155. Springer, Berlin, pp 42\u201367"},{"key":"266_CR2","volume-title":"Multiobjective decision making theory and methodology","author":"V Chankong","year":"1983","unstructured":"Chankong V, Haimes YY (1983) Multiobjective decision making theory and methodology. Elsevier Science Publishing Co., Inc., New York"},{"key":"266_CR3","first-page":"75","volume":"18","author":"H Kuk","year":"1997","unstructured":"Kuk H, Tanino T, Tanaka M (1997) Trade-off analysis for vector optimization problems via scalarization. J Inf Optim Sci 18: 75\u201387","journal-title":"J Inf Optim Sci"},{"key":"266_CR4","volume-title":"Nonlinear multiobjective optimization","author":"K Miettinen","year":"1999","unstructured":"Miettinen K (1999) Nonlinear multiobjective optimization. Kluwer, Boston"},{"key":"266_CR5","first-page":"137","volume-title":"Multiple criteria decision making \u201905","author":"K Miettinen","year":"2006","unstructured":"Miettinen K (2006) IND-NIMBUS for demanding interactive multiobjective optimization. In: Trzaskalik T (eds) Multiple criteria decision making \u201905. The Karol Adamiecki University of Economics in Katowice, Katowice, pp 137\u2013150"},{"issue":"3","key":"266_CR6","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1016\/j.ejor.2004.07.052","volume":"170","author":"K Miettinen","year":"2006","unstructured":"Miettinen K, M\u00e4kel\u00e4 MM (2006) Synchronous approach in interactive multiobjective optimization. Eur J Oper Res 170(3): 909\u2013922","journal-title":"Eur J Oper Res"},{"key":"266_CR7","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/978-3-540-88908-3_2","volume-title":"Multiobjective optimization: interactive and evolutionary approaches","author":"K Miettinen","year":"2008","unstructured":"Miettinen K, Ruiz F, Wierzbicki AP (2008) Introduction to multiobjective optimization: interactive approaches. In: Branke J, Deb K, Miettinen K, Slowinski R (eds) Multiobjective optimization: interactive and evolutionary approaches. Springer, Berlin, pp 27\u201357"},{"key":"266_CR8","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/978-3-662-00184-4_13","volume-title":"Interactive decision analysis","author":"H Nakayama","year":"1984","unstructured":"Nakayama H, Sawaragi Y (1984) Satisficing trade-off method for multiobjective programming. In: Grauer M, Wierzbicki AP (eds) Interactive decision analysis. Springer, New York, pp 113\u2013122"},{"key":"266_CR9","volume-title":"Numerical Optimization","author":"J Nocedal","year":"2006","unstructured":"Nocedal J, Wright SJ (2006) Numerical Optimization, 2nd edn. Springer, New York","edition":"2"},{"key":"266_CR10","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1016\/0377-2217(82)90183-7","volume":"9","author":"M Sakawa","year":"1982","unstructured":"Sakawa M (1982) Interactive multiobjective decision making by the sequential proxy optimization technique: SPOT. Eur J Oper Res 9: 386\u2013396","journal-title":"Eur J Oper Res"},{"key":"266_CR11","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/0377-2217(90)90319-7","volume":"44","author":"M Sakawa","year":"1990","unstructured":"Sakawa M, Yano H (1990) Trade-off rates in the hyperplane method for multiobjective optimization problems. Eur J Oper Res 44: 105\u2013118","journal-title":"Eur J Oper Res"},{"key":"266_CR12","doi-asserted-by":"crossref","unstructured":"Sindhya K, Deb K, Miettinen K (2011) Improving convergence of evolutionary multi-objective optimization with local search: a concurrent hybrid algorithm. Nat Comput. doi: 10.1007\/s11047-011-9250-4","DOI":"10.1007\/s11047-011-9250-4"},{"key":"266_CR13","doi-asserted-by":"crossref","first-page":"881","DOI":"10.2514\/2.7537","volume":"37","author":"RV Tappeta","year":"1999","unstructured":"Tappeta RV, Renaud JE (1999) Interactive multiobjective optimization procedure. AIAA J 37: 881\u2013889","journal-title":"AIAA J"},{"key":"266_CR14","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1007\/BF01719738","volume":"8","author":"AP Wierzbicki","year":"1986","unstructured":"Wierzbicki AP (1986) On completeness and constructiveness of parametric characterizations to vector optimization problems. OR Spektrum 8: 73\u201387","journal-title":"OR Spektrum"},{"key":"266_CR15","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1016\/S0377-2217(97)00451-7","volume":"112","author":"J-B Yang","year":"1999","unstructured":"Yang J-B (1999) Gradient projection and local region search for multiobjective optimisation. Eur J Oper Res 112: 432\u2013459","journal-title":"Eur J Oper Res"},{"issue":"3","key":"266_CR16","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1109\/TSMCA.2002.802806","volume":"32","author":"J-B Yang","year":"2002","unstructured":"Yang J-B, Li D (2002) Normal vector identification and interactive tradeoff analysis using minimax formulation in multiobjective optimization. IEEE Trans Syst Man Cybern Part A: Syst Hum 32(3): 305\u2013319","journal-title":"IEEE Trans Syst Man Cybern Part A: Syst Hum"},{"key":"266_CR17","first-page":"167","volume":"13","author":"H Yano","year":"1987","unstructured":"Yano H, Sakawa M (1987) Trade-off rates in the weighted Tchebycheff norm method. Large Scale Syst 13: 167\u2013177","journal-title":"Large Scale Syst"}],"container-title":["OR Spectrum"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00291-011-0266-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00291-011-0266-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00291-011-0266-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T11:00:01Z","timestamp":1559041201000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00291-011-0266-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7,7]]},"references-count":17,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2012,10]]}},"alternative-id":["266"],"URL":"https:\/\/doi.org\/10.1007\/s00291-011-0266-z","relation":{},"ISSN":["0171-6468","1436-6304"],"issn-type":[{"value":"0171-6468","type":"print"},{"value":"1436-6304","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7,7]]}}}