{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T11:18:38Z","timestamp":1720696718468},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2006,10,27]],"date-time":"2006-10-27T00:00:00Z","timestamp":1161907200000},"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":[[2007,6,22]]},"DOI":"10.1007\/s10898-006-9097-x","type":"journal-article","created":{"date-parts":[[2006,10,26]],"date-time":"2006-10-26T08:30:56Z","timestamp":1161851456000},"page":"581-596","source":"Crossref","is-referenced-by-count":13,"title":["Two level minimization in multidimensional scaling"],"prefix":"10.1007","volume":"38","author":[{"given":"Antanas","family":"\u017dilinskas","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Julius","family":"\u017dilinskas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,10,27]]},"reference":[{"key":"9097_CR1","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/978-1-4757-5284-7_11","volume-title":"From Local to Global Optimization","author":"L. An","year":"2001","unstructured":"An L., Tao P. (2001) D.C. programing approach to the multidimensional scaling problem. In: Pardalos P., Varbrand P. (eds) From Local to Global Optimization. Kluwer, Dodrecht, pp. 231\u2013276"},{"key":"9097_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2711-1","volume-title":"Modern Multidimensional Scaling","author":"I. Borg","year":"1997","unstructured":"Borg I., Groenen P. (1997) Modern Multidimensional Scaling. Springer, New York"},{"key":"9097_CR3","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s00357-0003-4","volume":"18","author":"M.J. Brusco","year":"2001","unstructured":"Brusco M.J. (2001) A simulated annealing heuristics for unidimensional and multidimensional (city block) scaling of symmetric proximity matrices. J. Classif. 18, 3\u201333","journal-title":"J. Classif."},{"key":"9097_CR4","volume-title":"New Ideas in Optimization","year":"1999","unstructured":"Corne D., Dorigo M., Glover F. (eds) (1999) New Ideas in Optimization. McGraw-Hill, Maidenhead, England"},{"key":"9097_CR5","volume-title":"Multidimensional Scaling","author":"T. Cox","year":"2001","unstructured":"Cox T., Cox M. (2001) Multidimensional Scaling. Chapman and Hall\/CRC, Boca Raton"},{"key":"9097_CR6","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1007\/BF02294209","volume":"149","author":"J. De Leeuw","year":"1984","unstructured":"De Leeuw J. (1984) Differentiability of Kruskal\u2019s stress at a local minimum. Psychometrika 149, 111\u2013113","journal-title":"Psychometrika"},{"key":"9097_CR7","first-page":"285","volume-title":"Handbook of Statistics, vol. 2","author":"J. De Leeuw","year":"1982","unstructured":"De Leeuw J., Heiser W. (1982) Theory of multidimentional scaling. In: Krishnaiah P.R. (eds) Handbook of Statistics, vol. 2. North Holland, Amsterdam, pp. 285\u2013316"},{"key":"9097_CR8","first-page":"2003","volume-title":"The practical handbook of genetic algorithms","author":"J. Everett","year":"2001","unstructured":"Everett J. (2001) Algorithms for multidimensional scaling. In: Chambers L. (eds) The practical handbook of genetic algorithms. Chapman and Hall\/CRC, Boca Raton, pp. 2003\u20132233"},{"key":"9097_CR9","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1080\/1055678021000090033","volume":"7","author":"P. Festa","year":"2002","unstructured":"Festa P., Pardalos P.M., Resende M.G.C., Ribeiro C.C. (2002) Randomized heuristics for the max-cut problem. Optim. Methods Softw. 7, 1033\u20131058","journal-title":"Optim. Methods Softw."},{"key":"9097_CR10","unstructured":"Groenen, P.: The Majorization Approach to multidimentional scaling, p. 110. DSWO, Amsterdam (1993)"},{"key":"9097_CR11","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/BF01202265","volume":"12","author":"P. Groenen","year":"1995","unstructured":"Groenen P., Mathar R., Heiser W. (1995) The majorization approach to multidimensional scaling for minkowski distances. J. Classif. 12, 3\u201319","journal-title":"J. Classif."},{"key":"9097_CR12","doi-asserted-by":"crossref","unstructured":"Groenen, P., Mathar, R., Trejos, J.: Global optimization methods for MDS applied to mobile communications. In: Gaul, W., Opitz, O., Schander, M. (eds.) Data Analysis: Scientific Models and Practical Applications, pp. 459\u2013475. Springer, (2000)","DOI":"10.1007\/978-3-642-58250-9_37"},{"key":"9097_CR13","volume-title":"Introduction to global optimization","author":"R. Horst","year":"1995","unstructured":"Horst R., Pardalos P., Thoai N. (1995) Introduction to global optimization. Kluwer, Dodrecht"},{"issue":"4","key":"9097_CR14","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1016\/S0031-3203(99)00078-3","volume":"33","author":"H. Klock","year":"1999","unstructured":"Klock H., Buhmann J. (1999) Data visualization by multidimensional scaling: a deterministic annealing approach. Pattern Recogn. 33(4): 651\u2013669","journal-title":"Pattern Recogn."},{"key":"9097_CR15","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1016\/S0377-2217(03)00357-6","volume":"158","author":"P.L. Leng","year":"2004","unstructured":"Leng P.L., Lau K. (2004) Estimating the city-block two-dimensional scaling model with simulated annealing. Eur. J. Oper. Res. 158, 518\u2013524","journal-title":"Eur. J. Oper. Res."},{"key":"9097_CR16","volume-title":"Multidimensionale Skalierung","author":"R. Mathar","year":"1997","unstructured":"Mathar R. (1997) Multidimensionale Skalierung. Teubner, Stuttgart"},{"key":"9097_CR17","first-page":"63","volume-title":"Classification and knowledge organization","author":"R. Mathar","year":"1996","unstructured":"Mathar R. (1996) A hybrid global optimization algorithm for multidimensional scaling. In: Klar R., Opitz O. (eds) Classification and knowledge organization. Springer, Berlin, 63\u201371"},{"key":"9097_CR18","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/BF00995497","volume":"33","author":"R. Mathar","year":"1993","unstructured":"Mathar R., \u017dilinskas A. (1993) On global optimization in two-dimensional scaling. Acta Appl. Math. 33, 109\u2013118","journal-title":"Acta Appl. Math."},{"key":"9097_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03315-9","volume-title":"Genetic Algorithms + Data Structures = Evolution Programs","author":"Z. Michalewicz","year":"1996","unstructured":"Michalewicz Z. (1996) Genetic Algorithms + Data Structures = Evolution Programs. Springer, Berlin"},{"key":"9097_CR20","volume-title":"Numerical Recipes in C++","author":"W. Press","year":"2002","unstructured":"Press W. et\u00a0al. (2002) Numerical Recipes in C++. Cambridge University Press, Cambridge"},{"key":"9097_CR21","doi-asserted-by":"crossref","unstructured":"T\u00f6rn, A., \u017dilinskas, A.: Global Optimization, Lecture Notes in Computer Science, vol. 350, pp. 1\u2013250 (1989)","DOI":"10.1007\/3-540-50871-6_1"},{"key":"9097_CR22","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1163\/156939703322003962","volume":"11","author":"A. \u017dilinskas","year":"2003","unstructured":"\u017dilinskas A. (2003) On the distribution of the distance between two points in a cube. Random Oper. Stoch. Eqs. 11, 21\u201324","journal-title":"Random Oper. Stoch. Eqs."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9097-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-006-9097-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9097-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T12:12:07Z","timestamp":1559304727000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-006-9097-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,10,27]]},"references-count":22,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2007,6,22]]}},"alternative-id":["9097"],"URL":"https:\/\/doi.org\/10.1007\/s10898-006-9097-x","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,10,27]]}}}