{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,28]],"date-time":"2026-06-28T16:08:05Z","timestamp":1782662885624,"version":"3.54.5"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2005,3,1]],"date-time":"2005-03-01T00:00:00Z","timestamp":1109635200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Optim Applic"],"published-print":{"date-parts":[[2005,3]]},"DOI":"10.1007\/s10589-005-4615-1","type":"journal-article","created":{"date-parts":[[2005,5,3]],"date-time":"2005-05-03T10:39:54Z","timestamp":1115116794000},"page":"297-318","source":"Crossref","is-referenced-by-count":88,"title":["Application of Deterministic Low-Discrepancy Sequences in Global Optimization"],"prefix":"10.1007","volume":"30","author":[{"given":"Sergei","family":"Kucherenko","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yury","family":"Sytsko","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"CR1","first-page":"1287","volume":"200","author":"I.I. Artobolevskii","year":"1971","unstructured":"I.I. Artobolevskii, M.D. Genkin, V.K. Grinkevich, I.M. Sobol\u2019, and R.B. Statnikov, \u201cOptimization in the theory of machines by an LP-search,\u201d Dokl. Akad. Nauk SSSR, vol. 200, pp. 1287\u20131290, 1971 (in Russian).","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"CR2","volume-title":"The Generalized Multinomial Distribution: A Bayesian Analysis and Applications, Ph.D. Dissertation","author":"C.G.E Boender","year":"1984","unstructured":"C.G.E. Boender, The Generalized Multinomial Distribution: A Bayesian Analysis and Applications, Ph.D. Dissertation, Erasmus Universiteit Rotterdam, Centrum voor Wiskunde en Informatica: Amsterdam, 1984."},{"key":"CR3","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1145\/146382.146385","volume":"2","author":"P. Bratley","year":"1992","unstructured":"P. Bratley, B.L. Fox, and H. Niederreiter, \u201cImplementation and tests of low-discrepancy sequences,\u201d ACM Trans. Model, Comput. Simulation, vol. 2, pp. 195\u2013213, 1992.","journal-title":"ACM Trans. Model, Comput. Simulation"},{"issue":"l","key":"CR4","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/BF00940587","volume":"79","author":"L.C.W Dixon","year":"1993","unstructured":"L.C.W. Dixon and M. Jha, \u201cParallel algorithms for global optimization,\u201d Journal of Optimization Theory and Applications, vol. 79, no. l, pp. 385\u2013395, 1993.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"CR5","doi-asserted-by":"crossref","unstructured":"C.A. Floudas and Panos M. Pardalos (Eds.), State of the Art in Global Optimization: Computational Methods and Applications, Princeton University Press, 1996.","DOI":"10.1007\/978-1-4613-3437-8"},{"key":"CR6","doi-asserted-by":"crossref","unstructured":"C. Floudas, M. Pardalos Panos, C. Adjiman, W.R. Esposito, Z. Gumus, S.T. Harding, J.L. Klepeis, C.A. Meyer, and C.A. Schweiger, Handbook of Test Problems in Local and Global Optimization, Kluwer Academic Publishers, 1999.","DOI":"10.1007\/978-1-4757-3040-1"},{"key":"CR7","doi-asserted-by":"crossref","unstructured":"C. Floudas and P.M. Pardalos (Eds.), Encyclopedia of Optimization, Kluwer Academic Publishers, 2001.","DOI":"10.1007\/0-306-48332-7"},{"key":"CR8","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1007\/BF01386213","volume":"2","author":"J.H. Holton","year":"1960","unstructured":"J.H. Holton, \u201cOn the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals,\u201d Numer. Math, vol. 2, pp. 84\u201390, 1960.","journal-title":"Numer. Math"},{"key":"CR9","doi-asserted-by":"crossref","unstructured":"R. Horst and P.M. Pardalos (Eds.), Handbook of Global Optimization, Kluwer Academic Publishers, 1995.","DOI":"10.1007\/978-1-4615-2025-2"},{"key":"CR10","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/BF00121752","volume":"9","author":"M. Locatelli","year":"1996","unstructured":"M. Locatelli and F. Schoen, \u201cSimple linkage: Analysis of a threshold-accepting global optimization method,\u201d Journal of Global Optimization, vol. 9, pp. 95\u2013111, 1996.","journal-title":"Journal of Global Optimization"},{"key":"CR11","unstructured":"NAG Library, http:\/\/www.nag.co.uk, 2002."},{"key":"CR12","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/BF01294651","volume":"104","author":"H. Niederreiter","year":"1987","unstructured":"H. Niederreiter, \u201cPoint sets and sequences with small discrepancy,\u201d Monatsh. Math., vol. 104, pp. 273\u2013337, 1987.","journal-title":"Monatsh. Math."},{"key":"CR13","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970081","volume-title":"Random Number Generation and Quasi-Monte Carlo Methods","author":"H. Niederreiter","year":"1992","unstructured":"H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM: Philadelphia, 1992."},{"issue":"1","key":"CR14","doi-asserted-by":"crossref","first-page":"113","DOI":"10.3905\/jpm.1995.409541","volume":"22","author":"S. Paskov","year":"1995","unstructured":"S. Paskov and J.F. Traub, \u201cFaster evaluation of financial derivatives,\u201d The Journal of Portfolio Management, vol. 22, no. 1, pp. 113\u2013120, 1995.","journal-title":"The Journal of Portfolio Management"},{"key":"CR15","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/BF02592070","volume":"39","author":"A.H.G Rinnooy Kan","year":"1987","unstructured":"A.H.G. Rinnooy Kan and G.T. Timmer, \u201cStochastic global optimization methods, part I, clustering methods,\u201d Mathematical Programming, vol. 39, pp. 27\u201356, 1987.","journal-title":"Mathematical Programming"},{"key":"CR16","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/BF02592071","volume":"39","author":"A.H.G Rinnooy Kan","year":"1987","unstructured":"A.H.G. Rinnooy Kan and G.T. Timmer, \u201cStochastic global optimization methods, part II, multilevel methods,\u201d Mathematical Programming, vol. 39, pp. 57\u201378, 1987.","journal-title":"Mathematical Programming"},{"key":"CR17","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1023\/A:1008354314309","volume":"13","author":"F. Schoen","year":"1998","unstructured":"F. Schoen, \u201cRandom and quasi-random linkage methods in global optimization,\u201d Journal of Global Optimization, vol. 13, pp. 445\u2013454, 1998.","journal-title":"Journal of Global Optimization"},{"key":"CR18","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/0041-5553(67)90144-9","volume":"7","author":"I.M. Sobol\u2019","year":"1967","unstructured":"I.M. Sobol\u2019, \u201cOn the distribution of points in a cube and the approximate evaluation of integrals,\u201d Comput. Math. Math. Phys., vol. 7, pp. 86\u2013112, 1967.","journal-title":"Comput. Math. Math. Phys."},{"key":"CR19","doi-asserted-by":"crossref","first-page":"790","DOI":"10.1137\/0716058","volume":"16","author":"I.M. Sobol\u2019","year":"1979","unstructured":"I.M. Sobol\u2019, \u201cOn the systematic search in a hypercube,\u201d SIAM J. Numer. Anal., vol. 16, pp. 790\u2013793, 1979.","journal-title":"SIAM J. Numer. Anal."},{"key":"CR20","first-page":"398","volume":"26","author":"I.M. Sobol\u2019","year":"1982","unstructured":"I.M. Sobol\u2019, \u201cOn an estimate of the accuracy of a simple multidimensional search,\u201d Soviet Math. Dokl., vol. 26, pp. 398\u2013401, 1982.","journal-title":"Soviet Math. Dokl."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/0041-5553(88)90155-3","volume":"28","author":"I.M. Sobol\u2019","year":"1988","unstructured":"I.M. Sobol\u2019, \u201cOn the search for extreme values of functions of several variables satisfying a general Lipschitz condition,\u201d USSR Comput. Math. Math. Phys., vol. 28, pp. 112\u2013118, 1988.","journal-title":"USSR Comput. Math. Math. Phys."},{"key":"CR22","first-page":"259","volume":"1","author":"I.M. Sobol\u2019","year":"1992","unstructured":"I.M. Sobol\u2019, \u201cAn efficient approach to multicriteria optimum design problems,\u201d Survey Math. Ind., vol. 1, pp. 259\u2013281, 1992.","journal-title":"Survey Math. Ind."},{"key":"CR23","volume-title":"Primer for the Monte Carlo Method","author":"I.M. Sobol\u2019","year":"1994","unstructured":"I.M. Sobol\u2019, Primer for the Monte Carlo Method, CRC Press: Florida, 1994."},{"key":"CR24","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/S0378-4754(98)00096-2","volume":"47","author":"I.M. Sobol\u2019","year":"1998","unstructured":"I.M. Sobol\u2019, \u201cOn quasi-Monte Carlo integrations,\u201d Mathematics and Computers in Simulation, vol. 47, pp. 103\u2013112, 1998.","journal-title":"Mathematics and Computers in Simulation"},{"issue":"2","key":"CR25","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1142\/S0129183195000204","volume":"6","author":"I.M. Sobol\u2019","year":"1995","unstructured":"I.M. Sobol\u2019 and B.V. Shukhman, \u201cIntegration with quasirandom sequences,\u201d Numerical Experience, Internat. J. Modern Phys. C, vol. 6, no. 2, pp. 263\u2013275, 1995.","journal-title":"Numerical Experience, Internat. J. Modern Phys. C"},{"key":"CR26","first-page":"910","volume":"11","author":"A.G. Sukharev","year":"1971","unstructured":"A.G. Sukharev, \u201cOptimal strategies of the search for an extremum,\u201d Zh. Vychisl. Mat. i Mat. Fiz, vol. 11, pp. 910\u2013924 1971 (in Russian).","journal-title":"Zh. Vychisl. Mat. i Mat. Fiz"},{"key":"CR27","volume-title":"Global Optimization, Lecture Notes in Computer Science 350","author":"A. T\u00f6rn","year":"1989","unstructured":"A. T\u00f6rn and A. Zilinskas, Global Optimization, Lecture Notes in Computer Science 350, Springer: Berlin, 1989."},{"key":"CR28","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1023\/A:1008395408187","volume":"14","author":"A. T\u00f6rn","year":"1999","unstructured":"A. T\u00f6rn, M. Afi, and S. Vjitanen, \u201cStochastic global optimization, problem classes and solution techniques,\u201d Journal of Global Optimization, vol. 14, pp. 437\u2013447, 1999.","journal-title":"Journal of Global Optimization"},{"key":"CR29","volume-title":"A General Theory of Optimal Algorithms","author":"J.F. Traub","year":"1980","unstructured":"J.F. Traub and H. Wozniakowski, A General Theory of Optimal Algorithms, Academic Press: New York, 1980."},{"key":"CR30","volume-title":"Global Optimization Applied to an Inverse Light Scattering Problem, Ph.D. Thesis","author":"S. Zakovic","year":"1997","unstructured":"S. Zakovic, Global Optimization Applied to an Inverse Light Scattering Problem, Ph.D. Thesis, University of Hertfordshire: Hartfield, 1997."},{"key":"CR31","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1088\/0266-5611\/14\/4\/019","volume":"14","author":"S. Zakovic","year":"1998","unstructured":"S. Zakovic, Z. Ulanowski, and M.C. Bartholomew-Biggs, \u201cApplication of global optimisation to particle identification using light scattering,\u201d Inverse Problems, vol. 14, pp. 1053\u20131067, 1998.","journal-title":"Inverse Problems"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-005-4615-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-005-4615-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-005-4615-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,7]],"date-time":"2020-04-07T05:24:10Z","timestamp":1586237050000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-005-4615-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,3]]},"references-count":31,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2005,3]]}},"alternative-id":["4615"],"URL":"https:\/\/doi.org\/10.1007\/s10589-005-4615-1","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,3]]}}}