{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T10:13:36Z","timestamp":1773137616573,"version":"3.50.1"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2007,10,11]],"date-time":"2007-10-11T00:00:00Z","timestamp":1192060800000},"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":[[2008,6]]},"DOI":"10.1007\/s10898-007-9234-1","type":"journal-article","created":{"date-parts":[[2007,10,10]],"date-time":"2007-10-10T10:09:50Z","timestamp":1192010990000},"page":"299-318","source":"Crossref","is-referenced-by-count":140,"title":["Nonsmooth optimization through Mesh Adaptive Direct Search and Variable Neighborhood Search"],"prefix":"10.1007","volume":"41","author":[{"given":"Charles","family":"Audet","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vincent","family":"B\u00e9chard","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S\u00e9bastien Le","family":"Digabel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,10,11]]},"reference":[{"issue":"2","key":"9234_CR1","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1023\/B:OPTE.0000033373.79886.54","volume":"5","author":"M.A. Abramson","year":"2004","unstructured":"Abramson M.A. (2004). Mixed variable optimization of a load-bearing thermal insulation system using a filter pattern search algorithm. Optim. Eng. 5(2): 157\u2013177","journal-title":"Optim. Eng."},{"issue":"2","key":"9234_CR2","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1137\/050638382","volume":"17","author":"M.A. Abramson","year":"2006","unstructured":"Abramson M.A. and Audet C. (2006). Second-order convergence of mesh-adaptive direct search. SIAM J. Optim. 17(2): 606\u2013619","journal-title":"SIAM J. Optim."},{"issue":"4","key":"9234_CR3","doi-asserted-by":"crossref","first-page":"1216","DOI":"10.1137\/S1052623400377955","volume":"14","author":"P. Alberto","year":"2004","unstructured":"Alberto P., Nogueira F., Rocha U. and Vicente L.N. (2004). Pattern search methods for user-provided points: application to molecular geometry problems. SIAM J. Optim. 14(4): 1216\u20131236","journal-title":"SIAM J. Optim."},{"issue":"6","key":"9234_CR4","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1287\/mnsc.1030.0207","volume":"50","author":"C. Audet","year":"2004","unstructured":"Audet C., Brimberg J., Hansen P., Le Digabel S. and Mladenovi\u0107 N. (2004). Pooling problem: alternate formulations and solution methods. Manage. Sci. 50(6): 761\u2013776","journal-title":"Manage. Sci."},{"key":"9234_CR5","unstructured":"Audet, C., Couture, G., Dennis, J.E. Jr.: NOMAD Project (LTMADS Package). Software available at www.gerad.ca\/nomad"},{"issue":"3","key":"9234_CR6","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1137\/S1052623499352024","volume":"11","author":"C. Audet","year":"2000","unstructured":"Audet C. and Dennis J.E. (2000). Pattern search algorithms for mixed variable programming. SIAM J. Optim. 11(3): 573\u2013594","journal-title":"SIAM J. Optim."},{"issue":"3","key":"9234_CR7","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1137\/S1052623400378742","volume":"13","author":"C. Audet","year":"2003","unstructured":"Audet C. and Dennis J.E. (2003). Analysis of generalized pattern searches. SIAM J. Optim. 13(3): 889\u2013903","journal-title":"SIAM J. Optim."},{"issue":"4","key":"9234_CR8","doi-asserted-by":"crossref","first-page":"980","DOI":"10.1137\/S105262340138983X","volume":"14","author":"C. Audet","year":"2004","unstructured":"Audet C. and Dennis J.E. (2004). A pattern search filter method for nonlinear programming without derivatives. SIAM J. Optim. 14(4): 980\u20131010","journal-title":"SIAM J. Optim."},{"issue":"1","key":"9234_CR9","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1137\/040603371","volume":"17","author":"C. Audet","year":"2006","unstructured":"Audet C. and Dennis J.E. (2006). Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 17(1): 188\u2013217","journal-title":"SIAM J. Optim."},{"issue":"3","key":"9234_CR10","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1137\/040620886","volume":"17","author":"C. Audet","year":"2006","unstructured":"Audet C. and Orban D. (2006). Finding optimal algorithmic parameters using the mesh adaptive direct search algorithm. SIAM J. Optim. 17(3): 642\u2013664","journal-title":"SIAM J. Optim."},{"key":"9234_CR11","unstructured":"B\u00e9chard, V., Audet, C., Chaouki, J.: Robust optimization of chemical processes using a MADS algorithm. Technical reportG\u20132005\u201316, Les Cahiers du GERAD, Montr\u00e9al (2005)"},{"key":"9234_CR12","doi-asserted-by":"crossref","unstructured":"Booker, A.J., Dennis, J.E. Jr., Frank, P.D., Moore, D.W., Serafini, D.B.: Managing surrogate objectives to optimize a helicopter rotor design\u2014further experiments. AIAA Paper 1998\u20134717, Presented at the 8th AIAA\/ISSMO symposium on multidisciplinary analysis and optimization, St. Louis (1998)","DOI":"10.2514\/6.1998-4717"},{"key":"9234_CR13","first-page":"49","volume-title":"Optimal Des. Control, Progress in Systems and Control Theory","author":"A.J. Booker","year":"1998","unstructured":"Booker A.J., Frank P.D., Serafini D.B., Torczon V. and Dennis J.E. (1998). Optimization using surrogate objectives on a helicopter test example. In: Borggaard, J., Burns, J., Cliff, E., and Schreck, S. (eds) Optimal Des. Control, Progress in Systems and Control Theory, pp 49\u201358. Birkh\u00e4user, Cambridge"},{"issue":"1","key":"9234_CR14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01197708","volume":"17","author":"A.J. Booker","year":"1999","unstructured":"Booker A.J., Frank P.D., Serafini D.B., Torczon V., Trosset M.W. and Dennis J.E. (1999). A rigorous framework for optimization of expensive functions by surrogates. Struct. Optim. 17(1): 1\u201313","journal-title":"Struct. Optim."},{"key":"9234_CR15","doi-asserted-by":"crossref","unstructured":"Bowden, R.O., Hall, J.D.: Simulation optimization research and development. Simulation conference, 1693\u20131698, Presented at the 1998 winter simulation conference (1998)","DOI":"10.1109\/WSC.1998.746048"},{"key":"9234_CR16","unstructured":"Brimberg, J., Mladenovi\u0107, N.: A variable neighbourhood algorithm for solving the continuous location-allocation problem. In: Hamacher, D. (ed.) S tud. Location Anal. vol. 10, pp. 1\u201312, Athens, Greece (1996)"},{"key":"9234_CR17","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/S0012-365X(99)00206-X","volume":"212","author":"G. Caporossi","year":"2000","unstructured":"Caporossi G. and Hansen P. (2000). Variable neighborhood search for extremal graphs 1: the AutoGraphiX system. Discrete Math. 212: 29\u201344","journal-title":"Discrete Math."},{"key":"9234_CR18","unstructured":"Clarke F.H.: Optimization and Nonsmooth Analysis. Wiley, New York (1983). Reissued in 1990 by SIAM Publications, Philadelphia, as vol. 5 in the series Classics in Applied Mathematics"},{"key":"9234_CR19","volume-title":"Conceptual Design of Chemical Processes","author":"J.M. Douglas","year":"1988","unstructured":"Douglas J.M. (1988). Conceptual Design of Chemical Processes. McGraw-Hill, New York"},{"key":"9234_CR20","unstructured":"Drazi\u0107, M., Lavor, C., Maculan, N., Mladenovi\u0107, N.: A Continuous VNS Heuristic for Finding the Tridimensional Structure of a Molecule. Technical Report G\u20132004\u201322, Les Cahiers du GERAD, Montr\u00e9al (2004)"},{"key":"9234_CR21","unstructured":"Finkel, D.E., Kelley, C.T.: Convergence analysis of the direct algorithm. SIAM J. Optim. 2004 (to appear)"},{"key":"9234_CR22","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/s101070100244","volume":"91","author":"R. Fletcher","year":"2002","unstructured":"Fletcher R. and Leyffer S. (2002). Nonlinear programming without a penalty function. Math. Program. Series A 91: 239\u2013269","journal-title":"Math. Program. Series A"},{"issue":"2","key":"9234_CR23","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1023\/B:OPTE.0000033375.33183.e7","volume":"5","author":"K.R. Fowler","year":"2004","unstructured":"Fowler K.R., Kelley C.T., Miller C.T., Kees C.E., Darwin R.W., Reese J.P., Farthing M.W. and Reed M.S.C. (2004). Solution of a well-field design problem with implicit filtering. Optim. Eng. 5(2): 207\u2013234","journal-title":"Optim. Eng."},{"issue":"2","key":"9234_CR24","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/S0031-3203(99)00216-2","volume":"34","author":"P. Hansen","year":"2001","unstructured":"Hansen P. and Mladenovi\u0107 N. (2001). J-MEANS: a new local search heuristic for minimum sum of squares clustering. Pattern Recogn. 34(2): 405\u2013413","journal-title":"Pattern Recogn."},{"issue":"3","key":"9234_CR25","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/S0377-2217(00)00100-4","volume":"130","author":"P. Hansen","year":"2001","unstructured":"Hansen P. and Mladenovi\u0107 N. (2001). Variable neighborhood search: principles and applications. Eur. J. Oper. Res. 130(3): 449\u2013467","journal-title":"Eur. J. Oper. Res."},{"issue":"4","key":"9234_CR26","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1023\/A:1011336210885","volume":"7","author":"P. Hansen","year":"2001","unstructured":"Hansen P., Mladenovi\u0107 N. and Perez-Britos D. (2001). Variable neighborhood decomposition search. J. Heuristics 7(4): 335\u2013350","journal-title":"J. Heuristics"},{"issue":"1","key":"9234_CR27","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/j.dam.2003.09.012","volume":"145","author":"P. Hansen","year":"2004","unstructured":"Hansen P., Mladenovi\u0107 N. and Urosevic D. (2004). Variable neighborhood search for the maximum clique. Discrete Appl. Math. 145(1): 117\u2013125","journal-title":"Discrete Appl. Math."},{"issue":"6","key":"9234_CR28","doi-asserted-by":"crossref","first-page":"1192","DOI":"10.1002\/cjce.5450810608","volume":"81","author":"R.E. Hayes","year":"2003","unstructured":"Hayes R.E., Bertrand F.H., Audet C. and Kolaczkowski S.T. (2003). Catalytic combustion kinetics: Using a direct search algorithm to evaluate kinetic parameters from light-off curves. Can. J. Chem. Eng. 81(6): 1192\u20131199","journal-title":"Can. J. Chem. Eng."},{"key":"9234_CR29","volume-title":"Optimization of Chemical Processes, 2nd edn","author":"D.M. Himmelblau","year":"2003","unstructured":"Himmelblau D.M., Edgar T.F. and Lasdon L.S. (2003). Optimization of Chemical Processes, 2nd edn. McGraw-Hill, New York"},{"issue":"1","key":"9234_CR30","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1007\/BF00941892","volume":"79","author":"D.R. Jones","year":"1993","unstructured":"Jones D.R., Perttunen C.D. and Stuckman B.E. (1993). Lipschitzian optimization without the Lipschitz constant. J. Optim. Theory Appl. 79(1): 157\u2013181","journal-title":"J. Optim. Theory Appl."},{"issue":"1","key":"9234_CR31","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1011860702585","volume":"2","author":"M. Kokkolaras","year":"2001","unstructured":"Kokkolaras M., Audet C. and Dennis J.E. (2001). Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Optim. Eng. 2(1): 5\u201329","journal-title":"Optim. Eng."},{"key":"9234_CR32","doi-asserted-by":"crossref","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 (electronic) (2003)","DOI":"10.1137\/S003614450242889"},{"issue":"1\u20132","key":"9234_CR33","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/S0377-0427(00)00423-4","volume":"124","author":"R.M. Lewis","year":"2000","unstructured":"Lewis R.M., Torczon V. and Trosset M.W. (2000). Direct search methods: Then and now. J. Comput. Appl. Math. 124(1\u20132): 191\u2013207","journal-title":"J. Comput. Appl. Math."},{"key":"9234_CR34","unstructured":"Lophaven, S., Nielsen, H., Sondergaard, J.: DACE\u2014A Matlab Kriging toolbox, version 2.0. Technical report IMM-REP-2002-12, Informatics and mathematical modelling, Technical University of Denmark (2002)"},{"issue":"2","key":"9234_CR35","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1023\/B:OPTE.0000033376.89159.65","volume":"5","author":"A.L. Marsden","year":"2004","unstructured":"Marsden A.L., Wang M., Moin P. and Dennis J.E. (2004). Optimal aeroacoustic shape design using the surrogate management framework. Optim. Eng. 5(2): 235\u2013262","journal-title":"Optim. Eng."},{"issue":"11","key":"9234_CR36","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1016\/S0305-0548(97)00031-2","volume":"24","author":"N. Mladenovi\u0107","year":"1997","unstructured":"Mladenovi\u0107 N. and Hansen P. (1997). Variable neighborhood search. Comput. Oper. Res. 24(11): 1097\u20131100","journal-title":"Comput. Oper. Res."},{"key":"9234_CR37","doi-asserted-by":"crossref","unstructured":"Perez, R., Liu, H.H.T., Behdinan, K.: Evaluation of multidisciplinary optimization approaches for aircraft conceptual design. In: AIAA\/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, NY, September (2004)","DOI":"10.2514\/6.2004-4537"},{"key":"9234_CR38","volume-title":"Process Design Principles: Synthesis, Analysis and Evaluation","author":"J.D. Seader","year":"1999","unstructured":"Seader J.D., Sieder W.D. and Lewin D.R. (1999). Process Design Principles: Synthesis, Analysis and Evaluation. John Wiley and Sons Inc., New York"},{"key":"9234_CR39","unstructured":"Serafini, D.B.: A framework for managing models in nonlinear optimization of computationally expensive functions. Ph.D. thesis, Department of Mathematical Sciences, Rice University, Houston, Texas (1998)"},{"key":"9234_CR40","doi-asserted-by":"crossref","first-page":"5585","DOI":"10.1016\/0009-2509(94)00287-8","volume":"49","author":"J.D. Snyder","year":"1994","unstructured":"Snyder J.D. and Subramaniam B. (1994). A novel reverse flow strategy for ethylbenzene dehydrogenation in a packed-bed reactor. Chem. Eng. Sci. 49: 5585\u20135601","journal-title":"Chem. Eng. Sci."},{"key":"9234_CR41","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, August 1998","DOI":"10.2514\/6.1998-4916"},{"issue":"2","key":"9234_CR42","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1080\/00401706.1987.10488205","volume":"29","author":"M. Stein","year":"1987","unstructured":"Stein M. (1987). Large sample properties of simulations using latin hypercube sampling. Technometrics 29(2): 143\u2013151","journal-title":"Technometrics"},{"issue":"424","key":"9234_CR43","doi-asserted-by":"crossref","first-page":"1392","DOI":"10.1080\/01621459.1993.10476423","volume":"88","author":"B. Tang","year":"1993","unstructured":"Tang B. (1993). Orthogonal array-based latin hypercubes. J. Am. Stat. Assoc. 88(424): 1392\u20131397","journal-title":"J. Am. Stat. Assoc."},{"key":"9234_CR44","volume-title":"Plant Design and Economics for Chemical Engineers, 5th edn","author":"K.D. Timmerhaus","year":"2003","unstructured":"Timmerhaus K.D., Peters M.S. and West R.E. (2003). Plant Design and Economics for Chemical Engineers, 5th edn. McGraw-Hill, New York"},{"issue":"1","key":"9234_CR45","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/S1052623493250780","volume":"7","author":"V. Torczon","year":"1997","unstructured":"Torczon V. (1997). On the convergence of pattern search algorithms. SIAM J. Optim. 7(1): 1\u201325","journal-title":"SIAM J. Optim."},{"key":"9234_CR46","unstructured":"Trefethen, N.: The hundred dollar hundred digit challenge. SIAM News 35(1), January\u2013February 2002. www.siam.org\/news\/news.php?id=388"},{"issue":"2","key":"9234_CR47","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s10898-007-9133-5","volume":"39","author":"A.I.F. Vaz","year":"2007","unstructured":"Vaz A.I.F. and Vicente L.N. (2007). A particle swarm pattern search method for bound constrained global optimization. J. Global Optim. 39(2): 197\u2013219","journal-title":"J. Global Optim."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9234-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-007-9234-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9234-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,21]],"date-time":"2025-01-21T14:38:06Z","timestamp":1737470286000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-007-9234-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,10,11]]},"references-count":47,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,6]]}},"alternative-id":["9234"],"URL":"https:\/\/doi.org\/10.1007\/s10898-007-9234-1","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,10,11]]}}}