{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T07:51:55Z","timestamp":1761897115121,"version":"3.37.3"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T00:00:00Z","timestamp":1573084800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T00:00:00Z","timestamp":1573084800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002790","name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","award":["RDCPJ 490744 - 15"],"award-info":[{"award-number":["RDCPJ 490744 - 15"]}],"id":[{"id":"10.13039\/501100002790","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2020,2]]},"DOI":"10.1007\/s11590-019-01497-8","type":"journal-article","created":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T18:02:59Z","timestamp":1573149779000},"page":"3-18","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Monotonic grey box direct search optimization"],"prefix":"10.1007","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3043-5393","authenticated-orcid":false,"given":"Charles","family":"Audet","sequence":"first","affiliation":[]},{"given":"Pascal","family":"C\u00f4t\u00e9","sequence":"additional","affiliation":[]},{"given":"Catherine","family":"Poissant","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8740-6155","authenticated-orcid":false,"given":"Christophe","family":"Tribes","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,11,7]]},"reference":[{"issue":"1","key":"1497_CR1","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/s11590-008-0089-2","volume":"3","author":"MA Abramson","year":"2009","unstructured":"Abramson, M.A., Audet, C., Chrissis, J.W., Walston, J.G.: Mesh adaptive direct search algorithms for mixed variable optimization. Optim. Lett. 3(1), 35\u201347 (2009)","journal-title":"Optim. Lett."},{"issue":"5","key":"1497_CR2","doi-asserted-by":"publisher","first-page":"1599","DOI":"10.1007\/s11590-013-0688-4","volume":"8","author":"L Adjengue","year":"2014","unstructured":"Adjengue, L., Audet, C., Ben, Yahia I.: A variance-based method to rank input variables of the mesh adaptive direct search algorithm. Optim. Lett. 8(5), 1599\u20131610 (2014)","journal-title":"Optim. Lett."},{"issue":"1","key":"1497_CR3","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.ejor.2017.10.058","volume":"268","author":"N Amaioua","year":"2018","unstructured":"Amaioua, N., Audet, C., Conn, A.R., Le Digabel, S.: Efficient solution of quadratically constrained quadratic subproblems within a direct-search algorithm. Eur. J. Oper. Res. 268(1), 13\u201324 (2018)","journal-title":"Eur. J. Oper. Res."},{"issue":"3","key":"1497_CR4","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1007\/s11590-011-0428-6","volume":"7","author":"C Audet","year":"2013","unstructured":"Audet, C., Dang, C.-K., Orban, D.: Efficient use of parallelism in algorithmic parameter optimization applications. Optim. Lett. 7(3), 421\u2013433 (2013)","journal-title":"Optim. Lett."},{"issue":"3","key":"1497_CR5","doi-asserted-by":"publisher","first-page":"889","DOI":"10.1137\/S1052623400378742","volume":"13","author":"C Audet","year":"2003","unstructured":"Audet, C., Dennis Jr., J.E.: Analysis of generalized pattern searches. SIAM J. Optim. 13(3), 889\u2013903 (2003)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"1497_CR6","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1137\/040603371","volume":"17","author":"C Audet","year":"2006","unstructured":"Audet, C., Dennis Jr., J.E.: Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 17(1), 188\u2013217 (2006)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"1497_CR7","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1137\/070692662","volume":"20","author":"C Audet","year":"2009","unstructured":"Audet, C., Dennis Jr., J.E.: A progressive barrier for derivative-free nonlinear programming. SIAM J. Optim. 20(1), 445\u2013472 (2009)","journal-title":"SIAM J. Optim."},{"key":"1497_CR8","series-title":"Springer Series in Operations Research and Financial Engineering","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-68913-5","volume-title":"Derivative-Free and Blackbox Optimization","author":"C Audet","year":"2017","unstructured":"Audet, C., Hare, W.: Derivative-Free and Blackbox Optimization. Springer Series in Operations Research and Financial Engineering. Springer, Cham (2017)"},{"issue":"4","key":"1497_CR9","doi-asserted-by":"publisher","first-page":"675","DOI":"10.1007\/s11590-017-1226-6","volume":"12","author":"C Audet","year":"2018","unstructured":"Audet, C., Ihaddadene, A., Le Digabel, S., Tribes, C.: Robust optimization of noisy blackbox problems using the mesh adaptive direct search algorithm. Optim. Lett. 12(4), 675\u2013689 (2018)","journal-title":"Optim. Lett."},{"issue":"2","key":"1497_CR10","doi-asserted-by":"publisher","first-page":"1164","DOI":"10.1137\/18M1175872","volume":"29","author":"C Audet","year":"2019","unstructured":"Audet, C., Le Digabel, S., Tribes, C.: The mesh adaptive direct search algorithm for granular and discrete variables. SIAM J. Optim. 29(2), 1164\u20131189 (2019)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"1497_CR11","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1007\/s11081-015-9299-5","volume":"17","author":"K Bigdeli","year":"2016","unstructured":"Bigdeli, K., Hare, W., Nutini, J., Tesfamariam, S.: Optimizing damper connectors for adjacent buildings. Optim. Eng. 17(1), 47\u201375 (2016)","journal-title":"Optim. Eng."},{"issue":"4","key":"1497_CR12","doi-asserted-by":"publisher","first-page":"1067","DOI":"10.1090\/S0002-9939-03-07149-1","volume":"132","author":"JM Borwein","year":"2004","unstructured":"Borwein, J.M., Burke, J.V., Lewis, A.S.: Differentiability of cone-monotone functions on separable Banach space. Proc. Am. Math. Soc. 132(4), 1067\u20131076 (2004)","journal-title":"Proc. Am. Math. Soc."},{"issue":"5","key":"1497_CR13","doi-asserted-by":"publisher","first-page":"895","DOI":"10.1007\/s11590-016-1028-2","volume":"11","author":"F Boukouvala","year":"2017","unstructured":"Boukouvala, F., Floudas, C.A.: ARGONAUT: algoRithms for global optimization of coNstrAined grey-box compUTational problems. Optim. Lett. 11(5), 895\u2013913 (2017)","journal-title":"Optim. Lett."},{"issue":"10","key":"1497_CR14","doi-asserted-by":"publisher","first-page":"1076","DOI":"10.1016\/j.cep.2010.07.014","volume":"49","author":"X Chen","year":"2010","unstructured":"Chen, X., Wang, N.: Optimization of short-time gasoline blending scheduling problem with a DNA based hybrid genetic algorithm. Chem. Eng. Process. Process Intensif. 49(10), 1076\u20131083 (2010)","journal-title":"Chem. Eng. Process. Process Intensif."},{"key":"1497_CR15","series-title":"Topics in Applied Physics","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-6664-8","volume-title":"Numerical Methods for Metamaterial Design","author":"K Diest","year":"2013","unstructured":"Diest, K.: Numerical Methods for Metamaterial Design. Topics in Applied Physics, vol. 127. Springer, Berlin (2013)"},{"key":"1497_CR16","series-title":"Lecture Notes in Economics and Mathematical Systems","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48320-2","volume-title":"Test Examples for Nonlinear Programming Codes","author":"W Hock","year":"1981","unstructured":"Hock, W., Schittkowski, K.: Test Examples for Nonlinear Programming Codes. Lecture Notes in Economics and Mathematical Systems, vol. 187. Springer, Berlin (1981)"},{"issue":"4","key":"1497_CR17","doi-asserted-by":"publisher","first-page":"2540","DOI":"10.1137\/15M1042097","volume":"26","author":"J Larson","year":"2016","unstructured":"Larson, J., Menickelly, M., Wild, S.M.: Manifold sampling for $$\\ell _1$$ nonconvex optimization. SIAM J. Optim. 26(4), 2540\u20132563 (2016)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"1497_CR18","doi-asserted-by":"publisher","first-page":"44:1","DOI":"10.1145\/1916461.1916468","volume":"37","author":"S Le Digabel","year":"2011","unstructured":"Le Digabel, S.: Algorithm 909: NOMAD: nonlinear optimization with the MADS algorithm. ACM Trans. Math. Softw. 37(4), 44:1\u201344:15 (2011)","journal-title":"ACM Trans. Math. Softw."},{"key":"1497_CR19","unstructured":"Luk\u0161an, L., Vl\u010dek, J.: Test problems for nonsmooth unconstrained and linearly constrained optimization. Technical report V-798, ICS AS CR (2000)"},{"issue":"1","key":"1497_CR20","doi-asserted-by":"publisher","first-page":"172","DOI":"10.1137\/080724083","volume":"20","author":"JJ Mor\u00e9","year":"2009","unstructured":"Mor\u00e9, J.J., Wild, S.M.: Benchmarking derivative-free optimization algorithms. SIAM J. Optim. 20(1), 172\u2013191 (2009)","journal-title":"SIAM J. Optim."},{"issue":"7","key":"1497_CR21","doi-asserted-by":"publisher","first-page":"1293","DOI":"10.1109\/TUFFC.2007.390","volume":"54","author":"F Pigache","year":"2007","unstructured":"Pigache, F., Messine, F., Nogarede, B.: Optimal design of piezoelectric transformers: a rational approach based on an analytical model and a deterministic global optimization. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 54(7), 1293\u20131302 (2007)","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control"},{"key":"1497_CR22","unstructured":"Poissant, C.: Exploitation d\u2019une structure monotone en recherche directe pour l\u2019optimisation de bo\u00eetes grises. Master\u2019s thesis, Polytechnique Montr\u00e9al (2018). \nhttps:\/\/publications.polymtl.ca\/3006\/"},{"issue":"3","key":"1497_CR23","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1080\/02331930108844530","volume":"49","author":"A Rubinov","year":"2001","unstructured":"Rubinov, A., Tuy, H., Mays, H.: An algorithm for monotonic global optimization problems. Optimization 49(3), 205\u2013221 (2001)","journal-title":"Optimization"},{"key":"1497_CR24","unstructured":"Sarazin-Mc Cann, L.A.: Opportunisme et ordonnancement en optimisation sans d\u00e9riv\u00e9es. Master\u2019s thesis, Polytechnique Montr\u00e9al (2018). \nhttps:\/\/publications.polymtl.ca\/3099\/"},{"key":"1497_CR25","doi-asserted-by":"crossref","unstructured":"Sobieszczanski-Sobieski, J., Agte, J.S., Sandusky, R.R., Jr.: Bi-level integrated system synthesis (BLISS). Technical report NASA\/TM-1998-208715, NASA, Langley Research Center (1998)","DOI":"10.2514\/6.1998-4916"},{"issue":"3","key":"1497_CR26","doi-asserted-by":"publisher","first-page":"440","DOI":"10.1002\/ceat.200700322","volume":"31","author":"J Tao","year":"2008","unstructured":"Tao, J., Wang, N.: DNA double helix based hybrid GA for the gasoline blending recipe optimization problem. Chem. Eng. Technol. 31(3), 440\u2013451 (2008)","journal-title":"Chem. Eng. Technol."},{"key":"1497_CR27","first-page":"2013","volume":"1\u20138","author":"HA Van Dyke","year":"2013","unstructured":"Van Dyke, H.A., Vixie, K.R., Asaki, T.J.: Cone monotonicity: structure theorem, properties, and comparisons to other notions of monotonicity. Abstr. Appl. Anal. 1\u20138, 2013 (2013)","journal-title":"Abstr. Appl. Anal."},{"issue":"2","key":"1497_CR28","doi-asserted-by":"publisher","first-page":"272","DOI":"10.1016\/j.compchemeng.2010.01.008","volume":"35","author":"J Zhao","year":"2011","unstructured":"Zhao, J., Wang, N.: A bio-inspired algorithm based on membrane computing and its application to gasoline blending scheduling. Comput. Chem. Eng. 35(2), 272\u2013283 (2011)","journal-title":"Comput. Chem. Eng."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-019-01497-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-019-01497-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-019-01497-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,6]],"date-time":"2020-11-06T00:29:47Z","timestamp":1604622587000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-019-01497-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,7]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2020,2]]}},"alternative-id":["1497"],"URL":"https:\/\/doi.org\/10.1007\/s11590-019-01497-8","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"type":"print","value":"1862-4472"},{"type":"electronic","value":"1862-4480"}],"subject":[],"published":{"date-parts":[[2019,11,7]]},"assertion":[{"value":"23 February 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 October 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 November 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}