{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T07:05:01Z","timestamp":1774422301266,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2008,6,20]],"date-time":"2008-06-20T00:00:00Z","timestamp":1213920000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2009,1]]},"DOI":"10.1007\/s11590-008-0089-2","type":"journal-article","created":{"date-parts":[[2008,6,19]],"date-time":"2008-06-19T14:01:09Z","timestamp":1213884069000},"page":"35-47","source":"Crossref","is-referenced-by-count":105,"title":["Mesh adaptive direct search algorithms for mixed variable optimization"],"prefix":"10.1007","volume":"3","author":[{"given":"Mark A.","family":"Abramson","sequence":"first","affiliation":[]},{"given":"Charles","family":"Audet","sequence":"additional","affiliation":[]},{"given":"James W.","family":"Chrissis","sequence":"additional","affiliation":[]},{"given":"Jennifer G.","family":"Walston","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,6,20]]},"reference":[{"key":"89_CR1","unstructured":"Abhishekand, K., Leyffer, S., Linderoth, J.T.: Modeling Without Categorical Variables: A Mixed-Integer Nonlinear Program for the Optimization Of Thermal Insulation Systems. Technical Report Preprint ANL\/MCS-P1434-0607, Argonne National Laboratory (2007)"},{"key":"89_CR2","unstructured":"Abramson, M.A.: Pattern Search Algorithms for Mixed Variable General Constrained Optimization Problems. PhD Thesis, Department of Computational and Applied Mathematics, Rice University (2002)"},{"issue":"2","key":"89_CR3","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1137\/050638382","volume":"17","author":"M.A. Abramson","year":"2006","unstructured":"Abramson M.A., Audet C.: Second-order convergence of mesh adaptive direct search. SIAM J. Optim. 17(2), 606\u2013619 (2006)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"89_CR4","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10107-003-0484-5","volume":"100","author":"M.A. Abramson","year":"2004","unstructured":"Abramson M.A., Audet C., Dennis J.E. Jr: Generalized pattern searches with derivative information. Math. Program. Ser. B. 100(1), 3\u201325 (2004)","journal-title":"Math. Program. Ser. B."},{"issue":"3","key":"89_CR5","first-page":"477","volume":"3","author":"M.A. Abramson","year":"2007","unstructured":"Abramson M.A., Audet C., Dennis J.E. Jr: Filter pattern search algorithms for mixed variable constrained optimization problems. Pac. J. Optim. 3(3), 477\u2013500 (2007)","journal-title":"Pac. J. Optim."},{"issue":"2","key":"89_CR6","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1023\/B:OPTE.0000033370.66768.a9","volume":"5","author":"C. Audet","year":"2004","unstructured":"Audet C.: Convergence results for pattern search algorithms are tight. Optim. Eng. 5(2), 101\u2013122 (2004)","journal-title":"Optim. Eng."},{"issue":"3","key":"89_CR7","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1137\/S1052623499352024","volume":"11","author":"C. Audet","year":"2000","unstructured":"Audet C., Dennis J.E. Jr: Pattern search algorithms for mixed variable programming. SIAM J. Optim. 11(3), 573\u2013594 (2000)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"89_CR8","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1137\/S1052623400378742","volume":"13","author":"C. Audet","year":"2003","unstructured":"Audet C., Dennis J.E. Jr: Analysis of generalized pattern searches. SIAM J. Optim. 13(3), 889\u2013903 (2003)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"89_CR9","doi-asserted-by":"crossref","first-page":"980","DOI":"10.1137\/S105262340138983X","volume":"14","author":"C. Audet","year":"2004","unstructured":"Audet C., Dennis J.E. Jr: A pattern search filter method for nonlinear programming without derivatives. SIAM J. Optim. 14(4), 980\u20131010 (2004)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"89_CR10","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1137\/040603371","volume":"17","author":"C. Audet","year":"2006","unstructured":"Audet C., Dennis J.E. Jr: Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 17(2), 188\u2013217 (2006)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"89_CR11","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1137\/040620886","volume":"17","author":"C. Audet","year":"2006","unstructured":"Audet C., Orban D.: Finding optimal algorithmic parameters using the mesh adaptive direct search algorithm. SIAM J. Optim. 17(3), 642\u2013664 (2006)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"89_CR12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01197708","volume":"17","author":"A.J. Booker","year":"1999","unstructured":"Booker A.J., Dennis J.E. Jr, Frank P.D., Serafini D.B., Torczon V., Trosset M.W.: A rigorous framework for optimization of expensive functions by surrogates. Struct. Optim. 17(1), 1\u201313 (1999)","journal-title":"Struct. Optim."},{"key":"89_CR13","unstructured":"Clarke, F.H.: Optimization and Nonsmooth Analysis. Wiley, New York . Reissued in 1990 by SIAM Publications, Philadelphia, as Vol. 5 in the series Classics in Applied Mathematics (1983)"},{"issue":"2","key":"89_CR14","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1023\/A:1026429319405","volume":"107","author":"I.D. Coope","year":"2000","unstructured":"Coope I.D., Price C.J.: Frame-based methods for unconstrained optimization. J. Optim. Theory Appl. 107(2), 261\u2013274 (2000)","journal-title":"J. Optim. Theory Appl."},{"issue":"4","key":"89_CR15","doi-asserted-by":"crossref","first-page":"733","DOI":"10.2307\/2372648","volume":"76","author":"C. Davis","year":"1954","unstructured":"Davis C.: Theory of positive linear dependence. Am. J. Math. 76(4), 733\u2013746 (1954)","journal-title":"Am. J. Math."},{"key":"89_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02985-5","volume-title":"Introduction to the Theory of Nonlinear Optimization","author":"J. Jahn","year":"1994","unstructured":"Jahn J.: Introduction to the Theory of Nonlinear Optimization. Springer, Berlin (1994)"},{"issue":"1","key":"89_CR17","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1011860702585","volume":"2","author":"M. Kokkolaras","year":"2001","unstructured":"Kokkolaras M., Audet C., Dennis J.E. Jr: Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Optim. Eng. 2(1), 5\u201329 (2001)","journal-title":"Optim. Eng."},{"issue":"3","key":"89_CR18","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1137\/S003614450242889","volume":"45","author":"T.G. Kolda","year":"2003","unstructured":"Kolda T.G., Lewis R.M., Torczon V.: Optimization by direct search: new perspectives on some classical and modern methods. SIAM Rev. 45(3), 385\u2013482 (2003)","journal-title":"SIAM Rev."},{"issue":"4","key":"89_CR19","doi-asserted-by":"crossref","first-page":"1082","DOI":"10.1137\/S1052623496300507","volume":"9","author":"R.M. Lewis","year":"1999","unstructured":"Lewis R.M., Torczon V.: Pattern search algorithms for bound constrained minimization. SIAM J. Optim. 9(4), 1082\u20131099 (1999)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"89_CR20","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1137\/S1052623497331373","volume":"10","author":"R.M. Lewis","year":"2000","unstructured":"Lewis R.M., Torczon V.: Pattern search methods for linearly constrained minimization. SIAM J. Optim. 10(3), 917\u2013941 (2000)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"89_CR21","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.1137\/S1052623498339727","volume":"12","author":"R.M. Lewis","year":"2002","unstructured":"Lewis R.M., Torczon V.: A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds. SIAM J. Optim. 12(4), 1075\u20131089 (2002)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"89_CR22","first-page":"239","volume":"21","author":"M.D. McKay","year":"1979","unstructured":"McKay M.D., Conover W.J., Beckman R.J.: A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2), 239\u2013245 (1979)","journal-title":"Technometrics"},{"issue":"2","key":"89_CR23","doi-asserted-by":"crossref","first-page":"257","DOI":"10.4153\/CJM-1980-020-7","volume":"32","author":"R.T. Rockafellar","year":"1980","unstructured":"Rockafellar R.T.: Generalized directional derivatives and subgradients of nonconvex functions. Can. J. Math. 32(2), 257\u2013280 (1980)","journal-title":"Can. J. Math."},{"issue":"1","key":"89_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/S1052623493250780","volume":"7","author":"V. Torczon","year":"1997","unstructured":"Torczon V.: On the convergence of pattern search algorithms. SIAM J. Optim. 7(1), 1\u201325 (1997)","journal-title":"SIAM J. Optim."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-008-0089-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-008-0089-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-008-0089-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,3]],"date-time":"2019-06-03T15:15:02Z","timestamp":1559574902000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-008-0089-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,6,20]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["89"],"URL":"https:\/\/doi.org\/10.1007\/s11590-008-0089-2","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,6,20]]}}}