{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T16:29:24Z","timestamp":1778516964408,"version":"3.51.4"},"reference-count":72,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,5,16]],"date-time":"2017-05-16T00:00:00Z","timestamp":1494892800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100008272","name":"Novartis Pharmaceuticals Corporation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100008272","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math Meth Oper Res"],"published-print":{"date-parts":[[2017,8]]},"DOI":"10.1007\/s00186-017-0591-3","type":"journal-article","created":{"date-parts":[[2017,5,16]],"date-time":"2017-05-16T12:26:40Z","timestamp":1494937600000},"page":"215-254","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["How to solve a design centering problem"],"prefix":"10.1007","volume":"86","author":[{"given":"Stuart M.","family":"Harwood","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paul I.","family":"Barton","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,5,16]]},"reference":[{"issue":"8","key":"591_CR1","doi-asserted-by":"crossref","first-page":"1006","DOI":"10.1109\/43.85738","volume":"10","author":"HL Abdel-Malek","year":"1991","unstructured":"Abdel-Malek HL, Hassan AKSO (1991) The ellipsoidal technique for design centering and region approximation. IEEE Trans Comput Aided Des Integr Circuits Syst 10(8):1006\u20131014","journal-title":"IEEE Trans Comput Aided Des Integr Circuits Syst"},{"key":"591_CR2","volume-title":"Set-valued analysis","author":"J-P Aubin","year":"1990","unstructured":"Aubin J-P, Frankowska H (1990) Set-valued analysis. Birkhauser, Boston"},{"key":"591_CR3","volume-title":"Non-linear parametric optimization","author":"B Bank","year":"1983","unstructured":"Bank B, Guddat J, Klatte D, Kummer B, Tammer K (1983) Non-linear parametric optimization. Birkhauser, Boston"},{"issue":"2","key":"591_CR4","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/S0925-7721(03)00048-8","volume":"27","author":"A Bemporad","year":"2004","unstructured":"Bemporad A, Filippi C, Torrisi FD (2004) Inner and outer approximations of polytopes using boxes. Comput Geom 27(2):151\u2013178","journal-title":"Comput Geom"},{"issue":"4","key":"591_CR5","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1287\/moor.23.4.769","volume":"23","author":"A Ben-Tal","year":"1998","unstructured":"Ben-Tal A, Nemirovski A (1998) Robust convex optimization. Math Oper Res 23(4):769\u2013805","journal-title":"Math Oper Res"},{"issue":"1","key":"591_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0167-6377(99)00016-4","volume":"25","author":"A Ben-Tal","year":"1999","unstructured":"Ben-Tal A, Nemirovski A (1999) Robust solutions of uncertain linear programs. Oper Res Lett 25(1):1\u201313","journal-title":"Oper Res Lett"},{"key":"591_CR7","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718829","volume-title":"Lectures on modern convex optimization: analysis, algorithms, and engineering applications","author":"A Ben-Tal","year":"2001","unstructured":"Ben-Tal A, Nemirovski A (2001) Lectures on modern convex optimization: analysis, algorithms, and engineering applications. SIAM, Philadelphia"},{"key":"591_CR8","volume-title":"Nonlinear programming","author":"DP Bertsekas","year":"1999","unstructured":"Bertsekas DP (1999) Nonlinear programming, 2nd edn. Athena Scientific, Belmont","edition":"2"},{"key":"591_CR9","volume-title":"Convex optimization theory","author":"DP Bertsekas","year":"2009","unstructured":"Bertsekas DP (2009) Convex optimization theory. Athena Scientific, Belmont"},{"issue":"1","key":"591_CR10","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/s10589-005-4556-8","volume":"30","author":"B Bhattacharjee","year":"2005","unstructured":"Bhattacharjee B, Green WH, Barton PI (2005) Interval methods for semi-infinite programs. Comput Optim Appl 30(1):63\u201393","journal-title":"Comput Optim Appl"},{"key":"591_CR11","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s10107-005-0583-6","volume":"103","author":"B Bhattacharjee","year":"2005","unstructured":"Bhattacharjee B, Lemonidis P, Green WH, Barton PI (2005) Global solution of semi-infinite programs. Mathematical Programming, Series B 103:283\u2013307","journal-title":"Mathematical Programming, Series B"},{"key":"591_CR12","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970777","volume-title":"Linear matrix inequalities in system and control theory","author":"S Boyd","year":"1994","unstructured":"Boyd S, El Ghaoui L, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, Philadelphia"},{"key":"591_CR13","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511804441","volume-title":"Convex optimization","author":"S Boyd","year":"2004","unstructured":"Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, New York"},{"key":"591_CR14","unstructured":"Chachuat B (2015) MC++: A Versatile Library for McCormick Relaxations and Taylor Models. \n                        http:\/\/www.imperial.ac.uk\/people\/b.chachuat\/research.html"},{"issue":"1","key":"591_CR15","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/s10589-012-9489-4","volume":"54","author":"M Diehl","year":"2013","unstructured":"Diehl M, Houska B, Oliver Stein, Steuermann P (2013) A lifting method for generalized semi-infinite programs based on lower level Wolfe duality. Comput Optim Appl 54(1):189\u2013210","journal-title":"Comput Optim Appl"},{"key":"591_CR16","doi-asserted-by":"crossref","unstructured":"Du K, Kearfott RB (1994) The cluster problem in multivariate global optimization. J Global Optim 5(3):253\u2013265","DOI":"10.1007\/BF01096455"},{"key":"591_CR17","doi-asserted-by":"crossref","first-page":"4267","DOI":"10.1021\/ie001014g","volume":"40","author":"CA Floudas","year":"2001","unstructured":"Floudas CA, G\u00fcm\u00fc\u015f ZH, Ierapetritou MG (2001) Global optimization in design under uncertainty: feasibility test and flexibility index problems. Ind Eng Chem Res 40:4267\u20134282","journal-title":"Ind Eng Chem Res"},{"key":"591_CR18","unstructured":"GAMS Development Corporation (2014) GAMS: General Algebraic Modeling System. \n                        http:\/\/www.gams.com"},{"issue":"1","key":"591_CR19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/1013001","volume":"13","author":"AM Geoffrion","year":"1971","unstructured":"Geoffrion AM (1971) Duality in nonlinear programming: a simplified applications-oriented development. SIAM Rev 13(1):1\u201337","journal-title":"SIAM Rev"},{"key":"591_CR20","doi-asserted-by":"crossref","unstructured":"Grant M, Boyd S (2008) Graph implementations for nonsmooth convex programs. In: Blondel V, Boyd Stephen, Kimura H (eds) Recent advances in learning and control, lecture notes in control and information sciences. Springer, Berlin, pp 95\u2013110","DOI":"10.1007\/978-1-84800-155-8_7"},{"key":"591_CR21","unstructured":"Grant M, Boyd S (2014) CVX: Matlab software for disciplined convex programming, version 2.1. \n                        http:\/\/cvxr.com\/cvx"},{"issue":"3","key":"591_CR22","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/s10100-007-0030-2","volume":"15","author":"H G\u00fcnzel","year":"2007","unstructured":"G\u00fcnzel H, Jongen HTh, Stein O (2007) On the closure of the feasible set in generalized semi-infinite programming. Central Eur J Oper Res 15(3):271\u2013280","journal-title":"Central Eur J Oper Res"},{"key":"591_CR23","doi-asserted-by":"crossref","unstructured":"G\u00fcnzel H, Jongen H Th, Stein O (2008) Generalized semi-infinite programming: on generic local minimizers. J Global Optim 42(3):413\u2013421","DOI":"10.1007\/s10898-008-9302-1"},{"issue":"3","key":"591_CR24","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1002\/aic.690290312","volume":"29","author":"KP Halemane","year":"1983","unstructured":"Halemane KP, Grossmann IE (1983) Optimal process design under uncertainty. AIChE J 29(3):425\u2013433","journal-title":"AIChE J"},{"issue":"6","key":"591_CR25","doi-asserted-by":"crossref","first-page":"1129","DOI":"10.1080\/02331934.2015.1127370","volume":"65","author":"SM Harwood","year":"2016","unstructured":"Harwood SM, Barton PI (2016) Lower level duality and the global solution of generalized semi-infinite programs. Optimization 65(6):1129\u20131149","journal-title":"Optimization"},{"issue":"1","key":"591_CR26","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/0377-2217(95)00082-8","volume":"92","author":"EMT Hendrix","year":"1996","unstructured":"Hendrix EMT, Mecking CJ, Hendriks THB (1996) Finding robust solutions for product design problems. Eur J Oper Res 92(1):28\u201336","journal-title":"Eur J Oper Res"},{"issue":"3","key":"591_CR27","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1137\/1035089","volume":"35","author":"R Hettich","year":"1993","unstructured":"Hettich R, Kortanek KO (1993) Semi-infinite programming: theory, methods, and applications. SIAM Rev 35(3):380\u2013429","journal-title":"SIAM Rev"},{"issue":"6","key":"591_CR28","doi-asserted-by":"crossref","first-page":"1152","DOI":"10.1016\/j.jprocont.2012.03.008","volume":"22","author":"B Houska","year":"2012","unstructured":"Houska B, Logist F, Van Impe J, Diehl M (2012) Robust optimization of nonlinear dynamic systems with application to a jacketed tubular reactor. J Process Control 22(6):1152\u20131160","journal-title":"J Process Control"},{"issue":"2","key":"591_CR29","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/j.ejor.2009.12.025","volume":"205","author":"N Kanzi","year":"2010","unstructured":"Kanzi N, Nobakhtian S (2010) Necessary optimality conditions for nonsmooth generalized semi-infinite programming problems. Eur J Oper Res 205(2):253\u2013261","journal-title":"Eur J Oper Res"},{"issue":"1\u20133","key":"591_CR30","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF01582144","volume":"61","author":"LG Khachiyan","year":"1993","unstructured":"Khachiyan LG, Todd MJ (1993) On the complexity of approximating the maximal inscribed ellipsoid for a polytope. Math Programm 61(1\u20133):137\u2013159","journal-title":"Math Programm"},{"key":"591_CR31","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/978-3-662-12603-5_20","volume":"255","author":"D Klatte","year":"1985","unstructured":"Klatte D, Kummer B (1985) Stability properties of infima and optimal solutions of parametric optimization problems. Lect Notes Econ Math Syst 255:215\u2013229","journal-title":"Lect Notes Econ Math Syst"},{"issue":"9","key":"591_CR32","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1016\/S0098-1354(98)00010-6","volume":"22","author":"C Loeblein","year":"1998","unstructured":"Loeblein C, Perkins JD (1998) Economic analysis of different structures of on-line process optimization systems. Comput Chem Eng 22(9):1257\u20131269","journal-title":"Comput Chem Eng"},{"key":"591_CR33","doi-asserted-by":"crossref","unstructured":"Lofberg J (2004) YALMIP: A toolbox for modeling and optimization in MATLAB. In: 2004 IEEE international conference on computer aided control systems design, pp 284\u2013289","DOI":"10.1109\/CACSD.2004.1393890"},{"key":"591_CR34","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719178","volume-title":"Ordinary differential equations in theory and practice","author":"R Mattheij","year":"2002","unstructured":"Mattheij R, Molenaar J (2002) Ordinary differential equations in theory and practice. SIAM, Philadelphia"},{"issue":"2\u20133","key":"591_CR35","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1007\/s10898-014-0166-2","volume":"59","author":"R Misener","year":"2014","unstructured":"Misener R, Floudas CA (2014) ANTIGONE: algorithms for coNTinuous\/integer global optimization of nonlinear equations. J Global Optim 59(2\u20133):503\u2013526","journal-title":"J Global Optim"},{"issue":"4","key":"591_CR36","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1007\/s10898-007-9260-z","volume":"42","author":"A Mitsos","year":"2008","unstructured":"Mitsos A, Lemonidis P, Barton PI (2008) Global solution of bilevel programs with a nonconvex inner program. J Global Optim 42(4):475\u2013513","journal-title":"J Global Optim"},{"issue":"2","key":"591_CR37","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1137\/080717341","volume":"20","author":"A Mitsos","year":"2009","unstructured":"Mitsos A, Chachuat B, Barton PI (2009) McCormick-based relaxations of algorithms. SIAM J Optim 20(2):573\u2013601","journal-title":"SIAM J Optim"},{"issue":"10\u201311","key":"591_CR38","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.1080\/02331934.2010.527970","volume":"60","author":"A Mitsos","year":"2011","unstructured":"Mitsos A (2011) Global optimization of semi-infinite programs via restriction of the right-hand side. Optimization 60(10\u201311):1291\u20131308","journal-title":"Optimization"},{"issue":"1","key":"591_CR39","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10898-014-0146-6","volume":"61","author":"A Mitsos","year":"2014","unstructured":"Mitsos A, Tsoukalas A (2014) Global optimization of generalized semi-infinite programs via restriction of the right hand side. J Global Optim 61(1):1\u201317","journal-title":"J Global Optim"},{"key":"591_CR40","doi-asserted-by":"crossref","unstructured":"Moore RE, Kearfott RB, Cloud MJ (2009) Introduction to interval analysis, SIAM, Philadelphia","DOI":"10.1137\/1.9780898717716"},{"key":"591_CR41","unstructured":"MOSEK (2015) \n                        http:\/\/www.mosek.com\/"},{"key":"591_CR42","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970791","volume-title":"Interior-point polynomial algorithms in convex programming","author":"Y Nesterov","year":"1994","unstructured":"Nesterov Y, Nemirovski A (1994) Interior-point polynomial algorithms in convex programming. SIAM, Philadelphia"},{"issue":"1\u20133","key":"591_CR43","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1007\/BF01585697","volume":"53","author":"VH Nguyen","year":"1992","unstructured":"Nguyen VH, Strodiot J-J (1992) Computing a global optimal solution to a design centering problem. Math Programm 53(1\u20133):111\u2013123","journal-title":"Math Programm"},{"issue":"1","key":"591_CR44","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1115\/1.2919328","volume":"115","author":"A Parkinson","year":"1993","unstructured":"Parkinson A, Sorensen C, Pourhassan N (1993) A general approach for robust optimal design. J Mech Des 115(1):74\u201380","journal-title":"J Mech Des"},{"issue":"1","key":"591_CR45","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1137\/1029002","volume":"29","author":"E Polak","year":"1987","unstructured":"Polak E (1987) On the mathematical foundations of nondifferentiable optimization in engineering design. SIAM Rev 29(1):21\u201389","journal-title":"SIAM Rev"},{"issue":"3","key":"591_CR46","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1137\/S003614450444614X","volume":"49","author":"I Polik","year":"2007","unstructured":"Polik I, Terlaky T (2007) A Survey of the S-Lemma. SIAM Rev 49(3):371\u2013418","journal-title":"SIAM Rev"},{"key":"591_CR47","first-page":"159","volume":"70","author":"D Ralph","year":"1995","unstructured":"Ralph D, Dempe S (1995) Directional derivatives of the solution of a parametric nonlinear program. Math Programm 70:159\u2013172","journal-title":"Math Programm"},{"issue":"2","key":"591_CR48","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/S0951-8320(02)00226-0","volume":"79","author":"CM Rocco","year":"2003","unstructured":"Rocco CM, Moreno J, Carrasquero N (2003) Robust design using a hybrid-cellular-evolutionary and interval-arithmetic approach: a reliability application. Reliab Eng Syst Saf 79(2):149\u2013159","journal-title":"Reliab Eng Syst Saf"},{"issue":"3","key":"591_CR49","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1023\/A:1021746305759","volume":"101","author":"J-J R\u00fcckmann","year":"1999","unstructured":"R\u00fcckmann J-J, Shapiro A (1999) First-order optimality conditions in generalized semi-infinite programming. J Optim Theory Appl 101(3):677\u2013691","journal-title":"J Optim Theory Appl"},{"key":"591_CR50","unstructured":"Sahinidis NV (2014) BARON 14.0.3: global optimization of mixed-integer nonlinear programs, user\u2019s manual. \n                        http:\/\/www.minlp.com\/downloads\/docs\/baronmanual.pdf"},{"issue":"6","key":"591_CR51","doi-asserted-by":"crossref","first-page":"697","DOI":"10.1016\/j.ress.2006.03.003","volume":"92","author":"DE Salazar","year":"2007","unstructured":"Salazar DE, Rocco CM (2007) Solving advanced multi-objective robust designs by means of multiple objective evolutionary algorithms (MOEA): A reliability application. Reliab Eng Syst Saf 92(6):697\u2013706","journal-title":"Reliab Eng Syst Saf"},{"key":"591_CR52","unstructured":"Schaber SD (2014) Tools for dynamic model development. PhD thesis, Massachusetts Institute of Technology"},{"key":"591_CR53","unstructured":"Scott JK (2012) Reachability analysis and deterministic global optimization of differential-algebraic systems. PhD thesis, Massachusetts Institute of Technology"},{"issue":"1","key":"591_CR54","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.automatica.2012.09.020","volume":"49","author":"JK Scott","year":"2013","unstructured":"Scott JK, Barton PI (2013) Bounds on the reachable sets of nonlinear control systems. Automatica 49(1):93\u2013100","journal-title":"Automatica"},{"key":"591_CR55","unstructured":"SeDuMi (2015): Optimization over symmetric cones. \n                        http:\/\/sedumi.ie.lehigh.edu\/"},{"issue":"1","key":"591_CR56","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1109\/81.739265","volume":"46","author":"A Seifi","year":"1999","unstructured":"Seifi A, Ponnambalam K, Vlach J (1999) A unified approach to statistical design centering of integrated circuits with correlated parameters. IEEE Trans Circuits Syst I Fundam Theory Appl 46(1):190\u2013196","journal-title":"IEEE Trans Circuits Syst I Fundam Theory Appl"},{"key":"591_CR57","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/0-387-34221-4_10","volume-title":"Optimization with mulitvalued mappings, chapter 1","author":"O Stein","year":"2006","unstructured":"Stein O (2006) A semi-infinite approach to design centering. In: Dempe S, Kalashnikov V (eds) Optimization with mulitvalued mappings, chapter 1. Springer, Berlin, pp 209\u2013228"},{"issue":"2","key":"591_CR58","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1016\/j.ejor.2012.06.009","volume":"223","author":"O Stein","year":"2012","unstructured":"Stein O (2012) How to solve a semi-infinite optimization problem. Eur J Oper Res 223(2):312\u2013320","journal-title":"Eur J Oper Res"},{"issue":"3","key":"591_CR59","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1137\/S0363012901398393","volume":"42","author":"O Stein","year":"2003","unstructured":"Stein O, Still G (2003) Solving semi-infinite optimization problems with interior point techniques. SIAM J Control Optim 42(3):769\u2013788","journal-title":"SIAM J Control Optim"},{"issue":"2","key":"591_CR60","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1007\/s10957-010-9674-5","volume":"146","author":"O Stein","year":"2010","unstructured":"Stein O, Winterfeld A (2010) Feasible method for generalized semi-infinite programming. J Optim Theory Appl 146(2):419\u2013443","journal-title":"J Optim Theory Appl"},{"key":"591_CR61","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/S0377-2217(99)00132-0","volume":"119","author":"G Still","year":"1999","unstructured":"Still G (1999) Generalized semi-infinite programming: theory and methods. Eur J Oper Res 119:301\u2013313","journal-title":"Eur J Oper Res"},{"issue":"3\u20134","key":"591_CR62","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1504\/IJRS.2011.041186","volume":"5","author":"MD Stuber","year":"2011","unstructured":"Stuber MD, Barton PI (2011) Robust simulation and design using semi-infinite programs with implicit functions. Int J Reliab Saf 5(3\u20134):378\u2013397","journal-title":"Int J Reliab Saf"},{"issue":"5","key":"591_CR63","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1021\/ie5029123","volume":"54","author":"MD Stuber","year":"2015","unstructured":"Stuber MD, Barton PI (2015) Semi-infinite optimization with implicit functions. Ind Eng Chem Res 54(5):307\u2013317","journal-title":"Ind Eng Chem Res"},{"key":"591_CR64","doi-asserted-by":"crossref","unstructured":"Sturm JF (1999) Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones. Optim Methods Soft 11(1\u20134):625\u2013653","DOI":"10.1080\/10556789908805766"},{"issue":"4","key":"591_CR65","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1002\/aic.690310412","volume":"31","author":"RE Swaney","year":"1985","unstructured":"Swaney RE, Grossmann IE (1985a) An index for operational flexibility in chemical process design\u2013part I: formulation and theory. AIChE J 31(4):621\u2013630","journal-title":"AIChE J"},{"issue":"4","key":"591_CR66","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1002\/aic.690310413","volume":"31","author":"RE Swaney","year":"1985","unstructured":"Swaney RE, Grossmann IE (1985b) An index for operational flexibility in chemical process design\u2013part II: computational algorithms. AIChE J 31(4):631\u2013641","journal-title":"AIChE J"},{"issue":"2","key":"591_CR67","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1007\/s10107-005-0581-8","volume":"103","author":"M Tawarmalani","year":"2005","unstructured":"Tawarmalani M, Sahinidis NV (2005) A polyhedral branch-and-cut approach to global optimization. Math Programm 103(2):225\u2013249","journal-title":"Math Programm"},{"issue":"2","key":"591_CR68","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/s10898-008-9321-y","volume":"44","author":"A Tsoukalas","year":"2009","unstructured":"Tsoukalas A, Rustem B, Pistikopoulos EN (2009) A global optimization algorithm for generalized semi-infinite, continuous minimax with coupled constraints and bi-level problems. J Global Optim 44(2):235\u2013250","journal-title":"J Global Optim"},{"key":"591_CR69","unstructured":"Wechsung A (2013) Global optimization in reduced space. PhD thesis, Massachusetts Institute of Technology"},{"issue":"3","key":"591_CR70","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1007\/s10898-013-0059-9","volume":"58","author":"A Wechsung","year":"2014","unstructured":"Wechsung A, Schaber SD, Barton PI (2014) The cluster problem revisited. J Global Optim 58(3):429\u2013438","journal-title":"J Global Optim"},{"issue":"3","key":"591_CR71","doi-asserted-by":"crossref","first-page":"838","DOI":"10.1016\/j.ejor.2007.01.057","volume":"191","author":"A Winterfeld","year":"2008","unstructured":"Winterfeld A (2008) Application of general semi-infinite programming to lapidary cutting problems. Eur J Oper Res 191(3):838\u2013854","journal-title":"Eur J Oper Res"},{"key":"591_CR72","unstructured":"YALMIP (2015) \n                        http:\/\/users.isy.liu.se\/johanl\/yalmip\/"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00186-017-0591-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-017-0591-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-017-0591-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,8,9]],"date-time":"2017-08-09T11:01:57Z","timestamp":1502276517000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00186-017-0591-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,16]]},"references-count":72,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,8]]}},"alternative-id":["591"],"URL":"https:\/\/doi.org\/10.1007\/s00186-017-0591-3","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"value":"1432-2994","type":"print"},{"value":"1432-5217","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,16]]}}}