{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T13:39:17Z","timestamp":1740145157415,"version":"3.37.3"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2016,5,5]],"date-time":"2016-05-05T00:00:00Z","timestamp":1462406400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004963","name":"Seventh Framework Programme (BE)","doi-asserted-by":"publisher","award":["290050"],"award-info":[{"award-number":["290050"]}],"id":[{"id":"10.13039\/501100004963","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2017,4]]},"DOI":"10.1007\/s11590-016-1037-1","type":"journal-article","created":{"date-parts":[[2016,5,5]],"date-time":"2016-05-05T09:35:41Z","timestamp":1462440941000},"page":"699-713","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Global optimization test problems based on random field composition"],"prefix":"10.1007","volume":"11","author":[{"given":"Ramses","family":"Sala","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Niccol\u00f2","family":"Baldanzini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marco","family":"Pierini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,5,5]]},"reference":[{"key":"1037_CR1","unstructured":"Bonnans, J.F., Gilbert, J.C., Lemar\u00e9chal, C., Sagastiz\u00e1bal, C.A.: Numerical Optimization: Theoretical and Practical Aspects. Springer Science & Business Media, Berlin (2006)"},{"key":"1037_CR2","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10898-008-9332-8","volume":"45","author":"CA Floudas","year":"2009","unstructured":"Floudas, C.A., Gounaris, C.E.: A review of recent advances in global optimization. J. Glob. Optim. 45, 3\u201338 (2009)","journal-title":"J. Glob. Optim."},{"key":"1037_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3040-1","volume-title":"Handbook of Test Problems in Local and Global Optimization","author":"CA Floudas","year":"1999","unstructured":"Floudas, C.A., Pardalos, P.M., Adjiman, C.S., Esposito, W.R., G\u00fcm\u00fc, Z.H., Harding, S.T., Klepeis, J.L., Meyer, C.A., Schweiger, C.A.: Handbook of Test Problems in Local and Global Optimization. Springer, Boston (1999)"},{"key":"1037_CR4","unstructured":"van Leeuwen, J.: Handbook of Theoretical Computer Science. Elsevier, MIT Press, Amsterdam; Cambridge, Mass (1990)"},{"key":"1037_CR5","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1007\/s10107-011-0499-2","volume":"137","author":"AA Ahmadi","year":"2013","unstructured":"Ahmadi, A.A., Olshevsky, A., Parrilo, P.A., Tsitsiklis, J.N.: NP-hardness of deciding convexity of quartic polynomials and related problems. Math. Program. 137, 453\u2013476 (2013)","journal-title":"Math. Program."},{"key":"1037_CR6","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1023\/A:1008306431147","volume":"13","author":"DR Jones","year":"1998","unstructured":"Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Glob. Optim. 13, 455\u2013492 (1998)","journal-title":"J. Glob. Optim."},{"key":"1037_CR7","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/BF02125421","volume":"63","author":"IH Osman","year":"1996","unstructured":"Osman, I.H., Laporte, G.: Metaheuristics: A bibliography. Ann. Oper. Res. 63, 511\u2013623 (1996)","journal-title":"Ann. Oper. Res."},{"key":"1037_CR8","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1504\/IJBIC.2011.039907","volume":"3","author":"X-S Yang","year":"2011","unstructured":"Yang, X.-S.: Review of meta-heuristics and generalised evolutionary walk algorithm. Int. J. Bio-Inspired Comput. 3, 77\u201384 (2011)","journal-title":"Int. J. Bio-Inspired Comput."},{"key":"1037_CR9","doi-asserted-by":"crossref","unstructured":"Borenstein, Y., Poli, R.: Fitness distributions and GA hardness. In: Parallel Problem Solving from Nature-PPSN VIII, pp. 11\u201320. Springer, Berlin (2004)","DOI":"10.1007\/978-3-540-30217-9_2"},{"key":"1037_CR10","unstructured":"De Jong, K.A.: Analysis of the behavior of a class of genetic adaptive systems (1975)"},{"issue":"1","key":"1037_CR11","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BF00934594","volume":"30","author":"W Hock","year":"1980","unstructured":"Hock, W., Schittkowski, K.: Test examples for nonlinear programming codes. J. Optim. Theory Appl. 30(1), 127\u2013129 (1980)","journal-title":"J. Optim. Theory Appl."},{"key":"1037_CR12","unstructured":"Schittkowski, K.: More Test Examples for Nonlinear Programming Codes, vol. 282. Springer Science & Business Media, Berlin (2012)"},{"key":"1037_CR13","first-page":"147","volume":"10","author":"N Andrei","year":"2008","unstructured":"Andrei, N.: An unconstrained optimization test functions collection. Adv. Model. Optim. 10, 147\u2013161 (2008)","journal-title":"Adv. Model. Optim."},{"issue":"4","key":"1037_CR14","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1145\/962437.962439","volume":"29","author":"NI Gould","year":"2003","unstructured":"Gould, N.I., Orban, D., Toint, P.L.: CUTEr and SifDec: a constrained and unconstrained testing environment, revisited. ACM Trans. Math. Softw. (TOMS) 29(4), 373\u2013394 (2003)","journal-title":"ACM Trans. Math. Softw. (TOMS)"},{"key":"1037_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-39901-8_16","volume-title":"Benchmarking Global Optimization and Constraint Satisfaction Codes","author":"O Shcherbina","year":"2003","unstructured":"Shcherbina, O., Neumaier, A., Sam-Haroud, D., Vu, X.H., Nguyen, T.V.: Benchmarking Global Optimization and Constraint Satisfaction Codes. Springer, Berlin (2003)"},{"issue":"27","key":"1037_CR16","first-page":"30","volume":"2013","author":"NI Gould","year":"2013","unstructured":"Gould, N.I., Orban, D., Toint, P.L.: CUTEst: a constrained and unconstrained testing environment with safe threads. Cahier du GERAD G 2013(27), 30 (2013)","journal-title":"Cahier du GERAD G"},{"issue":"2","key":"1037_CR17","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1007\/s11081-013-9234-6","volume":"15","author":"F Domes","year":"2014","unstructured":"Domes, F., Fuchs, M., Schichl, H., Neumaier, A.: The optimization test environment. Optim. Eng. 15(2), 443\u2013468 (2014)","journal-title":"Optim. Eng."},{"key":"1037_CR18","doi-asserted-by":"crossref","unstructured":"Barrera, J., Coello, C.A.C.: Test function generators for assessing the performance of PSO algorithms in multimodal optimization. In: Handbook of Swarm Intelligence, pp. 89\u2013117. Springer, Berlin (2011)","DOI":"10.1007\/978-3-642-17390-5_4"},{"key":"1037_CR19","doi-asserted-by":"crossref","first-page":"1552","DOI":"10.4236\/am.2012.330215","volume":"03","author":"JM Dieterich","year":"2012","unstructured":"Dieterich, J.M., Hartke, B.: Empirical review of standard benchmark functions using evolutionary global optimization. Appl. Math. 03, 1552\u20131564 (2012)","journal-title":"Appl. Math."},{"key":"1037_CR20","doi-asserted-by":"crossref","unstructured":"Liang, J.J., Suganthan, P.N., Deb, K.: Novel composition test functions for numerical global optimization. In: Swarm Intelligence Symposium, 2005. SIS 2005. Proceedings 2005 IEEE, pp. 68\u201375. IEEE, New York (2005)","DOI":"10.1109\/SIS.2005.1501604"},{"key":"1037_CR21","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1080\/10556780500139641","volume":"20","author":"B Balasundaram","year":"2005","unstructured":"Balasundaram, B., Butenko, S.: Constructing test functions for global optimization using continuous formulations of graph problems. Optim. Methods Softw. 20, 439\u2013452 (2005)","journal-title":"Optim. Methods Softw."},{"key":"1037_CR22","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/s10898-006-9099-8","volume":"38","author":"B Addis","year":"2007","unstructured":"Addis, B., Locatelli, M.: A new class of test functions for global optimization. J. Glob. Optim. 38, 479\u2013501 (2007)","journal-title":"J. Glob. Optim."},{"key":"1037_CR23","doi-asserted-by":"crossref","first-page":"590","DOI":"10.1109\/TEVC.2005.863628","volume":"10","author":"M Gallagher","year":"2006","unstructured":"Gallagher, M.: Bo Yuan: a general-purpose tunable landscape generator. IEEE Trans. Evol. Comput. 10, 590\u2013603 (2006)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"1037_CR24","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1007\/s11590-010-0181-2","volume":"4","author":"A Ahrari","year":"2010","unstructured":"Ahrari, A., Ahrari, R.: On the utility of randomly generated functions for performance evaluation of evolutionary algorithms. Optim. Lett. 4, 531\u2013541 (2010)","journal-title":"Optim. Lett."},{"key":"1037_CR25","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1002\/cplx.6130010511","volume":"1","author":"WG Macready","year":"1996","unstructured":"Macready, W.G., Wolpert, D.H.: What makes an optimization problem hard? Complexity 1, 40\u201346 (1996)","journal-title":"Complexity"},{"key":"1037_CR26","doi-asserted-by":"publisher","unstructured":"Sala, R., Baldanzini, N., Pierini, M.: Representative surrogate problems as test functions for expensive simulators in multidisciplinary design optimization of vehicle structures. Under Rev. Struct. Multidiscip (2016). doi: 10.1007\/s00158-016-1410-9","DOI":"10.1007\/s00158-016-1410-9"},{"key":"1037_CR27","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1016\/j.ins.2014.10.042","volume":"295","author":"S Mahdavi","year":"2015","unstructured":"Mahdavi, S., Shiri, M.E., Rahnamayan, S.: Metaheuristics in large-scale global continues optimization: a survey. Inf. Sci. 295, 407\u2013428 (2015)","journal-title":"Inf. Sci."},{"key":"1037_CR28","doi-asserted-by":"crossref","unstructured":"Potter, M.A., De Jong, K.A.: A cooperative coevolutionary approach to function optimization. In: Parallel Problem Solving from Nature\u2014PPSN III, pp. 249\u2013257. Springer, Berlin (1994)","DOI":"10.1007\/3-540-58484-6_269"},{"key":"1037_CR29","unstructured":"Adler, R.J., Taylor, J.E.: Random Fields and Geometry. Springer Science & Business Media, Berlin (2009)"},{"key":"1037_CR30","doi-asserted-by":"crossref","unstructured":"Hoeffding, W.: A class of statistics with asymptotically normal distribution. Ann. Math. Stat., 19(3), 293\u2013325 (1948)","DOI":"10.1214\/aoms\/1177730196"},{"key":"1037_CR31","first-page":"112","volume":"2","author":"IM Sobol\u2019","year":"1990","unstructured":"Sobol\u2019, I.M.: On sensitivity estimation for nonlinear mathematical models. Mat. Model. 2, 112\u2013118 (1990)","journal-title":"Mat. Model."},{"key":"1037_CR32","unstructured":"Multi-index notation. Encyclopedia of Mathematics. http:\/\/www.encyclopediaofmath.org\/index.php?title=Multi-index_notation&oldid=30979"},{"key":"1037_CR33","doi-asserted-by":"crossref","unstructured":"Chipperfield, A.J., Fleming, P.J.: The MATLAB genetic algorithm toolbox. In: IEE Colloquium on Applied Control Techniques Using MATLAB, pp. 10\/1\u201310\/4. IET, New York (1995)","DOI":"10.1049\/ic:19950061"},{"key":"1037_CR34","first-page":"1","volume":"1","author":"AN Kolmogorov","year":"1965","unstructured":"Kolmogorov, A.N.: Three approaches to the quantitative definition of information. Probl. Inf. Transm. 1, 1\u20137 (1965)","journal-title":"Probl. Inf. Transm."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-016-1037-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-016-1037-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-016-1037-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-016-1037-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T13:11:45Z","timestamp":1559394705000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-016-1037-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,5,5]]},"references-count":34,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2017,4]]}},"alternative-id":["1037"],"URL":"https:\/\/doi.org\/10.1007\/s11590-016-1037-1","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"type":"print","value":"1862-4472"},{"type":"electronic","value":"1862-4480"}],"subject":[],"published":{"date-parts":[[2016,5,5]]}}}