{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:20:25Z","timestamp":1740122425270,"version":"3.37.3"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,6,27]],"date-time":"2012-06-27T00:00:00Z","timestamp":1340755200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2013,10]]},"DOI":"10.1007\/s10898-012-9943-y","type":"journal-article","created":{"date-parts":[[2012,6,27]],"date-time":"2012-06-27T08:49:46Z","timestamp":1340786986000},"page":"385-398","source":"Crossref","is-referenced-by-count":10,"title":["Global search perspectives for multiobjective optimization"],"prefix":"10.1007","volume":"57","author":[{"given":"Alberto","family":"Lovison","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,6,27]]},"reference":[{"issue":"1","key":"9943_CR1","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1137\/1022003","volume":"22","author":"E.L. Allgower","year":"1980","unstructured":"Allgower E.L., Georg K.: Simplicial and continuation methods for approximating fixed points and solutions to systems of equations. SIAM Rev. 22(1), 28\u201385 (1980)","journal-title":"SIAM Rev."},{"issue":"1\u20132","key":"9943_CR2","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/S0377-0427(00)00427-1","volume":"124","author":"E.L. Allgower","year":"2000","unstructured":"Allgower E.L., Georg K.: Piecewise linear methods for nonlinear equations and optimization. J. Comput. Appl. Math. 124(1\u20132), 245\u2013261 (2000)","journal-title":"J. Comput. Appl. Math."},{"issue":"2","key":"9943_CR3","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1137\/0724033","volume":"24","author":"E.L. Allgower","year":"1987","unstructured":"Allgower E.L., Gnutzmann S.: An algorithm for piecewise linear approximation of implicitly defined two-dimensional surfaces. SIAM J. Numer. Anal. 24(2), 452\u2013469 (1987)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"9943_CR4","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1006\/jcom.2002.0645","volume":"18","author":"E.L. Allgower","year":"2002","unstructured":"Allgower E.L., Sommese A.J.: Piecewise linear approximation of smooth compact fibers. J. Complex. 18(2), 547\u2013556 (2002)","journal-title":"J. Complex."},{"key":"9943_CR5","doi-asserted-by":"crossref","unstructured":"Arnol\u2032d, V.I.: Singularities of smooth mappings. Russ. Math. Surv. 23(1), 1\u201343 (1968). http:\/\/stacks.iop.org\/0036-0279\/23\/1","DOI":"10.1070\/RM1968v023n01ABEH001232"},{"key":"9943_CR6","doi-asserted-by":"crossref","unstructured":"Askar, S., Tiwari, A.: Multi-objective optimisation problems: a symbolic algorithm for performance measurement of evolutionary computing techniques. In: Ehrgott M. (ed.) EMO 2009, Lecture Notes in Computer Science, vol. 5467, pp. 169\u2013182. Springer (2009)","DOI":"10.1007\/978-3-642-01020-0_17"},{"issue":"1","key":"9943_CR7","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1002\/(SICI)1520-6750(199702)44:1<47::AID-NAV3>3.0.CO;2-M","volume":"44","author":"H. Benson","year":"1997","unstructured":"Benson H., Sayin S.: Towards finding global representations of the efficient set in multiple objective mathematical programming. Naval Res Logist 44(1), 47\u201367 (1997)","journal-title":"Naval Res Logist"},{"issue":"2","key":"9943_CR8","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/BF02584786","volume":"7","author":"W. Melo de","year":"1976","unstructured":"de Melo W.: On the structure of the Pareto set of generic mappings. Bol. Soc. Brasil. Mat. 7(2), 121\u2013126 (1976)","journal-title":"Bol. Soc. Brasil. Mat."},{"issue":"1","key":"9943_CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0040-9383(76)90045-8","volume":"15","author":"W. Melo de","year":"1976","unstructured":"de Melo W.: Stability and optimization of several functions. Topology 15(1), 1\u201312 (1976)","journal-title":"Topology"},{"key":"9943_CR10","unstructured":"Guillemin V., Pollack A.: Differential topology. Prentice-Hall (1974). http:\/\/www.ulb.tu-darmstadt.de\/tocs\/59605480.pdf"},{"issue":"2","key":"9943_CR11","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/s00186-010-0343-0","volume":"73","author":"M. Hartikainen","year":"2011","unstructured":"Hartikainen M., Miettinen K., Wiecek M.M.: Constructing a pareto front approximation for decision making. Math. Methods Oper. Res. 73(2), 209\u2013234 (2011). doi: 10.1007\/s00186-010-0343-0","journal-title":"Math. Methods Oper. Res."},{"issue":"3","key":"9943_CR12","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1023\/A:1017536311488","volume":"110","author":"C. Hillermeier","year":"2001","unstructured":"Hillermeier C.: Generalized homotopy approach to multiobjective optimization. J. Optim. Theory Appl. 110(3), 557\u2013583 (2001)","journal-title":"J. Optim. Theory Appl."},{"key":"9943_CR13","doi-asserted-by":"crossref","unstructured":"Hillermeier, C.: Nonlinear Multiobjective Optimization. International Series of Numerical Mathematics, vol. 135. Birkh\u00e4user Verlag, Basel (2001). A generalized homotopy approach","DOI":"10.1007\/978-3-0348-8280-4"},{"issue":"4","key":"9943_CR14","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1023\/A:1012771025575","volume":"21","author":"D.R. Jones","year":"2001","unstructured":"Jones D.R.: A taxonomy of global optimization methods based on response surfaces. J. Glob. Optim. 21(4), 345\u2013383 (2001)","journal-title":"J. Glob. Optim."},{"issue":"1","key":"9943_CR15","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1007\/BF00941892","volume":"79","author":"D.R. Jones","year":"1993","unstructured":"Jones D.R., Perttunen C.D., Stuckman B.E.: Lipschitzian optimization without the lipschitz constant. J. Optim. Theory Appl. 79(1), 157\u2013181 (1993)","journal-title":"J. Optim. Theory Appl."},{"issue":"4","key":"9943_CR16","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1023\/A:1008306431147","volume":"13","author":"D.R. Jones","year":"1998","unstructured":"Jones D.R., Schonlau M., Welch W.J.: Efficient global optimization of expensive black-box functions. J. Glob. Optim. 13(4), 455\u2013492 (1998)","journal-title":"J. Glob. Optim."},{"issue":"4","key":"9943_CR17","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1007\/s10898-004-9971-3","volume":"31","author":"C. Khompatraporn","year":"2005","unstructured":"Khompatraporn C., Pint\u00e9r J.D., Zabinsky Z.B.: Comparative assessment of algorithms and software for global optimization. J. Glob. Optim. 31(4), 613\u2013633 (2005)","journal-title":"J. Glob. Optim."},{"issue":"1","key":"9943_CR18","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1109\/TEVC.2005.851274","volume":"10","author":"J. Knowles","year":"2006","unstructured":"Knowles J.: ParEGO: a hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems. IEEE Trans. Evol. Comput. 10(1), 50\u201366 (2006)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"9943_CR19","doi-asserted-by":"crossref","unstructured":"Levine, H.: Singularities of differentiable mappings. In: C. Wall (ed.) Proceedings of Liverpool Singularities\u2014Symposium I, Lecture Notes in Mathematics, vol. 192, pp. 1\u201321. Springer, Berlin (1971). doi: 10.1007\/BFb0066810","DOI":"10.1007\/BFb0066810"},{"key":"9943_CR20","doi-asserted-by":"crossref","unstructured":"Lovison, A.: Singular continuation: generating piecewise linear approximations to pareto sets via global analysis. SIAM J. Optim. 21(2), 463\u2013490 (2011). doi: 10.1137\/100784746","DOI":"10.1137\/100784746"},{"issue":"2","key":"9943_CR21","first-page":"110","volume":"1","author":"A. Lovison","year":"2010","unstructured":"Lovison A., Rigoni E.: Adaptive sampling with a Lipschitz criterion for accurate metamodeling. Commun. Appl. Ind. Math. 1(2), 110\u2013126 (2010)","journal-title":"Commun. Appl. Ind. Math."},{"key":"9943_CR22","doi-asserted-by":"crossref","unstructured":"Miettinen, K.: Nonlinear multiobjective optimization. International Series in Operations Research & Management Science, vol. 12. Kluwer, Boston (1999)","DOI":"10.1007\/978-1-4615-5563-6"},{"issue":"3","key":"9943_CR23","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1023\/A:1016031214488","volume":"114","author":"E. Miglierina","year":"2002","unstructured":"Miglierina E., Molho E.: Scalarization and stability in vector optimization. J. Optim. Theory Appl. 114(3), 657\u2013670 (2002)","journal-title":"J. Optim. Theory Appl."},{"issue":"3","key":"9943_CR24","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/s10957-008-9383-5","volume":"138","author":"E. Miglierina","year":"2008","unstructured":"Miglierina E., Molho E., Rocca M.: Critical points index for vector functions and vector optimization. J. Optim. Theory Appl. 138(3), 479\u2013496 (2008). doi: 10.1007\/s10957-008-9383-5","journal-title":"J. Optim. Theory Appl."},{"key":"9943_CR25","unstructured":"Pijavski\u012d, S.A.: An algorithm for finding the absolute minimum of functions. In: Theory of Optimal Solutions (Seminar, Kiev, 1967), No. 2 (Russian), pp. 13\u201324. Akad. Nauk Ukrain. SSR, Kiev (1967)"},{"key":"9943_CR26","doi-asserted-by":"crossref","unstructured":"Pint\u00e9r, J.D.: Nonlinear optimization with GAMS\/LGO. J. Global Optim. 38(1), 79\u2013101 (2007). doi: 10.1007\/s10898-006-9084-2","DOI":"10.1007\/s10898-006-9084-2"},{"key":"9943_CR27","unstructured":"Sch\u00fctze, O., Dell\u2019Aere, A., Dellnitz, M.: On continuation methods for the numerical treatment of multi-objective optimization problems. In: Branke, J., Deb, K., Miettinen, K., Steuer, R.E. (eds.) Practical Approaches to Multi-Objective Optimization No. 04461 in Dagstuhl Seminar Proceedings. Internationales Begegnungs- und Forschungszentrum f\u00fcr Informatik (IBFI), Schloss Dagstuhl, Germany, Dagstuhl, Germany (2005). http:\/\/drops.dagstuhl.de\/opus\/volltexte\/2005\/349"},{"key":"9943_CR28","doi-asserted-by":"crossref","unstructured":"Sergeyev, Y.D.: An information global optimization algorithm with local tuning. SIAM J. Optim. 5(4), 858\u2013870 (1995). doi: 10.1137\/0805041 . http:\/\/dx.doi.org\/10.1137\/0805041","DOI":"10.1137\/0805041"},{"issue":"3","key":"9943_CR29","doi-asserted-by":"crossref","first-page":"910","DOI":"10.1137\/040621132","volume":"16","author":"Y.D. Sergeyev","year":"2006","unstructured":"Sergeyev Y.D., Kvasov D.E.: Global search based on efficient diagonal partitions and a set of lipschitz constants. SIAM J. Optim. 16(3), 910\u2013937 (2006)","journal-title":"SIAM J. Optim."},{"issue":"1\u20133","key":"9943_CR30","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/S0925-7721(01)00047-5","volume":"22","author":"J.R. Shewchuk","year":"2002","unstructured":"Shewchuk J.R.: Delaunay refinement algorithms for triangular mesh generation. Comput. Geom. Theory Appl. 22(1\u20133), 21\u201374 (2002)","journal-title":"Comput. Geom. Theory Appl."},{"key":"9943_CR31","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1137\/0709036","volume":"9","author":"B.O. Shubert","year":"1972","unstructured":"Shubert B.O.: A sequential method seeking the global maximum of a function. SIAM J. Numer. Anal. 9, 379\u2013388 (1972)","journal-title":"SIAM J. Numer. Anal."},{"key":"9943_CR32","doi-asserted-by":"crossref","first-page":"4","DOI":"10.2307\/2316777","volume":"76","author":"S. Smale","year":"1969","unstructured":"Smale S.: What is global analysis?. Am. Math. Month. 76, 4\u20139 (1969)","journal-title":"Am. Math. Month."},{"key":"9943_CR33","doi-asserted-by":"crossref","unstructured":"Smale, S.: Global analysis and economics. I. Pareto optimum and a generalization of Morse theory. In: Dynamical Systems (Proc. Sympos., Univ. Bahia, Salvador, 1971), pp. 531\u2013544. Academic Press, New York (1973)","DOI":"10.1016\/B978-0-12-550350-1.50044-8"},{"key":"9943_CR34","unstructured":"Smale, S.: Optimizing several functions. In: Manifolds\u2013Tokyo 1973 (Proc. Internat. Conf., Tokyo, 1973), pp. 69\u201375. Univ. Tokyo Press, Tokyo (1975)"},{"key":"9943_CR35","doi-asserted-by":"crossref","unstructured":"Stephens, C., Baritompa, W.: Global optimization requires global information. J. Optim. Theory Appl. 96, 575\u2013588 (1998). doi: 10.1023\/A:1022612511618 . http:\/\/dx.doi.org\/10.1023\/A:1022612511618","DOI":"10.1023\/A:1022612511618"},{"issue":"1","key":"9943_CR36","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1023\/A:1024652720089","volume":"27","author":"R.G. Strongin","year":"2003","unstructured":"Strongin R.G., Sergeyev Y.D.: Global optimization: fractal approach and non-redundant parallelism. J. Glob. Optim. 27(1), 25\u201350 (2003)","journal-title":"J. Glob. Optim."},{"key":"9943_CR37","doi-asserted-by":"crossref","unstructured":"Thom, R.: Les singularit\u00e9s des applications diff\u00e9rentiables. Ann. Inst. Fourier (1956)","DOI":"10.5802\/aif.60"},{"issue":"3","key":"9943_CR38","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/0040-9383(75)90002-6","volume":"14","author":"Y.H. Wan","year":"1975","unstructured":"Wan Y.H.: Morse theory for two functions. Topology 14(3), 217\u2013228 (1975)","journal-title":"Topology"},{"issue":"1","key":"9943_CR39","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/0304-4068(75)90012-9","volume":"2","author":"Y.H. Wan","year":"1975","unstructured":"Wan Y.H.: On local Pareto optima. J. Math. Econ. 2(1), 35\u201342 (1975)","journal-title":"J. Math. Econ."},{"key":"9943_CR40","unstructured":"Whitney, H.: On singularities of mappings of euclidean spaces. I. Mappings of the Plane into the plane. Ann. Math. 62(3), 374\u2013410 (1955). http:\/\/www.jstor.org\/discover\/10.2307\/1970070"},{"key":"9943_CR41","doi-asserted-by":"crossref","unstructured":"Zhang, B., Wood, G.R., Baritompa, W.P.: Multidimensional bisection: the performance and the context. J. Glob. Optim. 3(3), 337\u2013358 (1993). doi: 10.1007\/BF01096775","DOI":"10.1007\/BF01096775"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-012-9943-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-012-9943-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-012-9943-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,30]],"date-time":"2019-06-30T05:15:24Z","timestamp":1561871724000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-012-9943-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,27]]},"references-count":41,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,10]]}},"alternative-id":["9943"],"URL":"https:\/\/doi.org\/10.1007\/s10898-012-9943-y","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"type":"print","value":"0925-5001"},{"type":"electronic","value":"1573-2916"}],"subject":[],"published":{"date-parts":[[2012,6,27]]}}}