Sedlacek, Tadeas; Odenthal, Dirk; Wollherr, Dirk Space splitting convexification: a local solution method for nonconvex optimal control problems. (English) Zbl 1519.90194 Int. J. Control 96, No. 2, 517-540 (2023). MSC: 90C26 49M25 PDFBibTeX XMLCite \textit{T. Sedlacek} et al., Int. J. Control 96, No. 2, 517--540 (2023; Zbl 1519.90194) Full Text: DOI
Cartis, Coralia; Massart, Estelle; Otemissov, Adilet Bound-constrained global optimization of functions with low effective dimensionality using multiple random embeddings. (English) Zbl 07658269 Math. Program. 198, No. 1 (A), 997-1058 (2023). MSC: 65K05 90C30 90C26 49K45 15A52 PDFBibTeX XMLCite \textit{C. Cartis} et al., Math. Program. 198, No. 1 (A), 997--1058 (2023; Zbl 07658269) Full Text: DOI arXiv
Aswani, Anil; Olfat, Matt Optimization hierarchy for fair statistical decision problems. (English) Zbl 07641121 Ann. Stat. 50, No. 6, 3144-3173 (2022). MSC: 62C12 62F12 49J53 60D05 PDFBibTeX XMLCite \textit{A. Aswani} and \textit{M. Olfat}, Ann. Stat. 50, No. 6, 3144--3173 (2022; Zbl 07641121) Full Text: DOI arXiv Link
Füllner, Christian; Rebennack, Steffen Non-convex nested Benders decomposition. (English) Zbl 1506.90207 Math. Program. 196, No. 1-2 (B), 987-1024 (2022). MSC: 90C26 90C11 49M27 PDFBibTeX XMLCite \textit{C. Füllner} and \textit{S. Rebennack}, Math. Program. 196, No. 1--2 (B), 987--1024 (2022; Zbl 1506.90207) Full Text: DOI
Chada, Neil K.; Tong, Xin T. Convergence acceleration of ensemble Kalman inversion in nonlinear settings. (English) Zbl 1486.49049 Math. Comput. 91, No. 335, 1247-1280 (2022). MSC: 49N45 65K10 90C56 90C25 PDFBibTeX XMLCite \textit{N. K. Chada} and \textit{X. T. Tong}, Math. Comput. 91, No. 335, 1247--1280 (2022; Zbl 1486.49049) Full Text: DOI arXiv
Lozano, Leonardo; Smith, J. Cole A binary decision diagram based algorithm for solving a class of binary two-stage stochastic programs. (English) Zbl 1489.90086 Math. Program. 191, No. 1 (B), 381-404 (2022). MSC: 90C15 90C10 05C05 49M27 PDFBibTeX XMLCite \textit{L. Lozano} and \textit{J. C. Smith}, Math. Program. 191, No. 1 (B), 381--404 (2022; Zbl 1489.90086) Full Text: DOI
Baayen, Jorn H.; Postek, Krzysztof Hidden invariant convexity for global and conic-intersection optimality guarantees in discrete-time optimal control. (English) Zbl 1487.49022 J. Glob. Optim. 82, No. 2, 263-281 (2022). MSC: 49K20 26B25 PDFBibTeX XMLCite \textit{J. H. Baayen} and \textit{K. Postek}, J. Glob. Optim. 82, No. 2, 263--281 (2022; Zbl 1487.49022) Full Text: DOI
Pappas, Iosif; Diangelakis, Nikolaos A.; Pistikopoulos, Efstratios N. The exact solution of multiparametric quadratically constrained quadratic programming problems. (English) Zbl 1514.90178 J. Glob. Optim. 79, No. 1, 59-85 (2021). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C20 90C26 90C31 49K40 PDFBibTeX XMLCite \textit{I. Pappas} et al., J. Glob. Optim. 79, No. 1, 59--85 (2021; Zbl 1514.90178) Full Text: DOI
Hare, Warren A discussion on variational analysis in derivative-free optimization. (English) Zbl 1473.49019 Set-Valued Var. Anal. 28, No. 4, 643-659 (2020). Reviewer: Chadi Nour (Byblos) MSC: 49J52 90C56 65K05 PDFBibTeX XMLCite \textit{W. Hare}, Set-Valued Var. Anal. 28, No. 4, 643--659 (2020; Zbl 1473.49019) Full Text: DOI
Marandi, Ahmadreza; de Klerk, Etienne; Dahl, Joachim Solving sparse polynomial optimization problems with chordal structure using the sparse bounded-degree sum-of-squares hierarchy. (English) Zbl 1433.90110 Discrete Appl. Math. 275, 95-110 (2020). MSC: 90C23 90C22 49J15 49M25 PDFBibTeX XMLCite \textit{A. Marandi} et al., Discrete Appl. Math. 275, 95--110 (2020; Zbl 1433.90110) Full Text: DOI Link
Gleixner, Ambros; Maher, Stephen J.; Müller, Benjamin; Pedroso, João Pedro Price-and-verify: a new algorithm for recursive circle packing using Dantzig-Wolfe decomposition. (English) Zbl 07153648 Ann. Oper. Res. 284, No. 2, 527-555 (2020). MSC: 65Kxx 90Cxx 49Mxx PDFBibTeX XMLCite \textit{A. Gleixner} et al., Ann. Oper. Res. 284, No. 2, 527--555 (2020; Zbl 07153648) Full Text: DOI arXiv
Najman, Jaromił; Mitsos, Alexander Tighter McCormick relaxations through subgradient propagation. (English) Zbl 1429.49033 J. Glob. Optim. 75, No. 3, 565-593 (2019). MSC: 49M20 49M37 65K05 90C26 PDFBibTeX XMLCite \textit{J. Najman} and \textit{A. Mitsos}, J. Glob. Optim. 75, No. 3, 565--593 (2019; Zbl 1429.49033) Full Text: DOI arXiv
González Rueda, Ángel M.; González Díaz, Julio; Fernández de Córdoba, María P. A twist on SLP algorithms for NLP and MINLP problems: an application to gas transmission networks. (English) Zbl 1431.90150 Optim. Eng. 20, No. 2, 349-395 (2019). MSC: 90C30 90C11 90C90 76N25 49K99 65K05 PDFBibTeX XMLCite \textit{Á. M. González Rueda} et al., Optim. Eng. 20, No. 2, 349--395 (2019; Zbl 1431.90150) Full Text: DOI
Dey, Santanu S.; Santana, Asteroide; Wang, Yang New SOCP relaxation and branching rule for bipartite bilinear programs. (English) Zbl 1431.90148 Optim. Eng. 20, No. 2, 307-336 (2019). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{S. S. Dey} et al., Optim. Eng. 20, No. 2, 307--336 (2019; Zbl 1431.90148) Full Text: DOI arXiv
Najman, Jaromił; Mitsos, Alexander On tightness and anchoring of McCormick and other relaxations. (English) Zbl 1425.49014 J. Glob. Optim. 74, No. 4, 677-703 (2019). MSC: 49M20 49M37 65K05 90C26 PDFBibTeX XMLCite \textit{J. Najman} and \textit{A. Mitsos}, J. Glob. Optim. 74, No. 4, 677--703 (2019; Zbl 1425.49014) Full Text: DOI
Houska, Boris; Chachuat, Benoît Global optimization in Hilbert space. (English) Zbl 1408.49027 Math. Program. 173, No. 1-2 (A), 221-249 (2019). MSC: 49M30 65K10 90C26 93B40 PDFBibTeX XMLCite \textit{B. Houska} and \textit{B. Chachuat}, Math. Program. 173, No. 1--2 (A), 221--249 (2019; Zbl 1408.49027) Full Text: DOI
Kim, Kibaek; Zavala, Victor M. Algorithmic innovations and software for the dual decomposition method applied to stochastic mixed-integer programs. (English) Zbl 1400.90236 Math. Program. Comput. 10, No. 2, 225-266 (2018). MSC: 90C15 90C11 49M27 65Y05 PDFBibTeX XMLCite \textit{K. Kim} and \textit{V. M. Zavala}, Math. Program. Comput. 10, No. 2, 225--266 (2018; Zbl 1400.90236) Full Text: DOI
Kannan, Rohit; Barton, Paul I. Convergence-order analysis of branch-and-bound algorithms for constrained problems. (English) Zbl 1397.49042 J. Glob. Optim. 71, No. 4, 753-813 (2018). MSC: 49M20 49M29 49M37 49N15 65K05 68Q25 90C26 PDFBibTeX XMLCite \textit{R. Kannan} and \textit{P. I. Barton}, J. Glob. Optim. 71, No. 4, 753--813 (2018; Zbl 1397.49042) Full Text: DOI Link
Sandikçi, Burhaneddin; Özaltin, Osman Y. A scalable bounding method for multistage stochastic programs. (English) Zbl 1372.49039 SIAM J. Optim. 27, No. 3, 1772-1800 (2017). MSC: 49M27 68W10 90C06 90C11 90C15 90C25 90C27 90C59 PDFBibTeX XMLCite \textit{B. Sandikçi} and \textit{O. Y. Özaltin}, SIAM J. Optim. 27, No. 3, 1772--1800 (2017; Zbl 1372.49039) Full Text: DOI
Khan, Kamil A.; Watson, Harry A. J.; Barton, Paul I. Differentiable McCormick relaxations. (English) Zbl 1365.49027 J. Glob. Optim. 67, No. 4, 687-729 (2017); correction ibid. 70, No. 3, 705-706 (2018). MSC: 49M20 90C26 65G40 26B25 49J45 PDFBibTeX XMLCite \textit{K. A. Khan} et al., J. Glob. Optim. 67, No. 4, 687--729 (2017; Zbl 1365.49027) Full Text: DOI Link
Armstrong, Jerawan C.; Favorite, Jeffrey A. Using a derivative-free optimization method for multiple solutions of inverse transport problems. (English) Zbl 1364.78037 Optim. Eng. 17, No. 1, 105-125 (2016). MSC: 78M25 90C56 90C90 49N45 78A40 90C15 90C30 PDFBibTeX XMLCite \textit{J. C. Armstrong} and \textit{J. A. Favorite}, Optim. Eng. 17, No. 1, 105--125 (2016; Zbl 1364.78037) Full Text: DOI
van Ackooij, W.; Frangioni, A.; de Oliveira, W. Inexact stabilized Benders’ decomposition approaches with application to chance-constrained problems with finite support. (English) Zbl 1357.90104 Comput. Optim. Appl. 65, No. 3, 637-669 (2016). MSC: 90C15 90C25 49M27 90C11 PDFBibTeX XMLCite \textit{W. van Ackooij} et al., Comput. Optim. Appl. 65, No. 3, 637--669 (2016; Zbl 1357.90104) Full Text: DOI Link
Scott, Joseph K.; Barton, Paul I. Reachability analysis and deterministic global optimization of DAE models. (English) Zbl 1343.65104 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations III. Cham: Springer (ISBN 978-3-319-22427-5/pbk; 978-3-319-22428-2/ebook). Differential-Algebraic Equations Forum, 61-116 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65L80 93B03 90C26 34A40 34A60 49J15 34A09 93C15 PDFBibTeX XMLCite \textit{J. K. Scott} and \textit{P. I. Barton}, in: Surveys in differential-algebraic equations III. Cham: Springer. 61--116 (2015; Zbl 1343.65104) Full Text: DOI
Wechsung, Achim; Scott, Joseph K.; Watson, Harry A. J.; Barton, Paul I. Reverse propagation of McCormick relaxations. (English) Zbl 1322.49048 J. Glob. Optim. 63, No. 1, 1-36 (2015). MSC: 49M20 49M37 90C26 65K05 PDFBibTeX XMLCite \textit{A. Wechsung} et al., J. Glob. Optim. 63, No. 1, 1--36 (2015; Zbl 1322.49048) Full Text: DOI Link
Ninin, Jordan; Messine, Frédéric; Hansen, Pierre A reliable affine relaxation method for global optimization. (English) Zbl 1320.90065 4OR 13, No. 3, 247-277 (2015). MSC: 90C26 65H20 65G30 65G40 49M20 PDFBibTeX XMLCite \textit{J. Ninin} et al., 4OR 13, No. 3, 247--277 (2015; Zbl 1320.90065) Full Text: DOI HAL
Bonami, Pierre; Olivares, Alberto; Staffetti, Ernesto Energy-optimal multi-goal motion planning for planar robot manipulators. (English) Zbl 1301.49086 J. Optim. Theory Appl. 163, No. 1, 80-104 (2014). MSC: 49M37 90C11 90C57 68T40 PDFBibTeX XMLCite \textit{P. Bonami} et al., J. Optim. Theory Appl. 163, No. 1, 80--104 (2014; Zbl 1301.49086) Full Text: DOI
Houska, Boris; Chachuat, Benoît Branch-and-lift algorithm for deterministic global optimization in nonlinear optimal control. (English) Zbl 1307.49034 J. Optim. Theory Appl. 162, No. 1, 208-248 (2014). Reviewer: Matthias Ehrgott (Lancaster) MSC: 49M37 90C57 90C26 PDFBibTeX XMLCite \textit{B. Houska} and \textit{B. Chachuat}, J. Optim. Theory Appl. 162, No. 1, 208--248 (2014; Zbl 1307.49034) Full Text: DOI Link
Wechsung, Achim; Barton, Paul I. Global optimization of bounded factorable functions with discontinuities. (English) Zbl 1311.90114 J. Glob. Optim. 58, No. 1, 1-30 (2014). MSC: 90C26 49M20 65K05 PDFBibTeX XMLCite \textit{A. Wechsung} and \textit{P. I. Barton}, J. Glob. Optim. 58, No. 1, 1--30 (2014; Zbl 1311.90114) Full Text: DOI Link
Borraz-Sánchez, Conrado; Haugland, Dag Optimization methods for pipeline transportation of natural gas with variable specific gravity and compressibility. (English) Zbl 1277.49043 Top 21, No. 3, 524-541 (2013). MSC: 49M37 90C90 90B06 PDFBibTeX XMLCite \textit{C. Borraz-Sánchez} and \textit{D. Haugland}, Top 21, No. 3, 524--541 (2013; Zbl 1277.49043) Full Text: DOI
Kong, Nan; Schaefer, Andrew J.; Ahmed, Shabbir Totally unimodular stochastic programs. (English) Zbl 1266.90136 Math. Program. 138, No. 1-2 (A), 1-13 (2013). MSC: 90C15 90C10 49M27 PDFBibTeX XMLCite \textit{N. Kong} et al., Math. Program. 138, No. 1--2 (A), 1--13 (2013; Zbl 1266.90136) Full Text: DOI
Amaran, Satyajith; Sahinidis, Nikolaos V. Global optimization of nonlinear least-squares problems by branch-and-bound and optimality constraints. (English) Zbl 1258.93102 Top 20, No. 1, 154-172 (2012). MSC: 93E10 93E24 49M05 65D10 65K05 90C26 90C46 PDFBibTeX XMLCite \textit{S. Amaran} and \textit{N. V. Sahinidis}, Top 20, No. 1, 154--172 (2012; Zbl 1258.93102) Full Text: DOI
Scott, Joseph K.; Stuber, Matthew D.; Barton, Paul I. Generalized McCormick relaxations. (English) Zbl 1232.49033 J. Glob. Optim. 51, No. 4, 569-606 (2011). MSC: 49M20 90C26 PDFBibTeX XMLCite \textit{J. K. Scott} et al., J. Glob. Optim. 51, No. 4, 569--606 (2011; Zbl 1232.49033) Full Text: DOI
Bao, Xiaowei; Sahinidis, Nikolaos V.; Tawarmalani, Mohit Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons. (English) Zbl 1232.49035 Math. Program. 129, No. 1 (B), 129-157 (2011). MSC: 49M29 65K05 90C22 90C26 90C30 PDFBibTeX XMLCite \textit{X. Bao} et al., Math. Program. 129, No. 1 (B), 129--157 (2011; Zbl 1232.49035) Full Text: DOI
Sager, Sebastian; Jung, Michael; Kirches, Christian Combinatorial integral approximation. (English) Zbl 1220.90073 Math. Methods Oper. Res. 73, No. 3, 363-380 (2011). MSC: 90C11 90C30 49J15 90C57 PDFBibTeX XMLCite \textit{S. Sager} et al., Math. Methods Oper. Res. 73, No. 3, 363--380 (2011; Zbl 1220.90073) Full Text: DOI
Pintér, János D. Global optimization in practice: State of the art and perspectives. (English) Zbl 1193.49038 Gao, David Y. (ed.) et al., Advances in applied mathematics and global optimization. In honor of Gilbert Strang on the occasion of his 70th birthday. Mainly selected lectures of the 1st international conference on complementarity, duality, and global optimization (CDGO), Blacksburg, VA, August 15–17, 2005. New York, NY: Springer (ISBN 978-0-387-75713-1/hbk; 978-0-387-75714-8/ebook). Advances in Mechanics and Mathematics 17, 377-404 (2009). MSC: 49M30 90-02 PDFBibTeX XMLCite \textit{J. D. Pintér}, Adv. Mech. Math. 17, 377--404 (2009; Zbl 1193.49038) Full Text: DOI
Li, Pingke; Fang, Shu-Cherng Minimizing a linear fractional function subject to a system of sup-\(T\) equations with a continuous Archimedean triangular norm. (English) Zbl 1178.93084 J. Syst. Sci. Complex. 22, No. 1, 49-62 (2009). MSC: 93C42 49N05 93B17 PDFBibTeX XMLCite \textit{P. Li} and \textit{S.-C. Fang}, J. Syst. Sci. Complex. 22, No. 1, 49--62 (2009; Zbl 1178.93084) Full Text: DOI
Preda, Dorin; Noailles, Joseph Mixed integer programming for a special logic constrained optimal control problem. (English) Zbl 1120.90037 Math. Program. 103, No. 2 (B), 309-333 (2005). MSC: 90C11 49M30 49K30 65K05 PDFBibTeX XMLCite \textit{D. Preda} and \textit{J. Noailles}, Math. Program. 103, No. 2 (B), 309--333 (2005; Zbl 1120.90037) Full Text: DOI Link
Lee, Cha Kun; Singer, Adam B.; Barton, Paul I. Global optimization of linear hybrid systems with explicit transitions. (English) Zbl 1157.93442 Syst. Control Lett. 51, No. 5, 363-375 (2004). MSC: 93C65 49L20 93C15 PDFBibTeX XMLCite \textit{C. K. Lee} et al., Syst. Control Lett. 51, No. 5, 363--375 (2004; Zbl 1157.93442) Full Text: DOI
Singer, A. B.; Barton, P. I. Global solution of optimization problems with parameter-embedded linear dynamic systems. (English) Zbl 1107.90035 J. Optim. Theory Appl. 121, No. 3, 613-646 (2004). MSC: 90C30 49J15 90C57 PDFBibTeX XMLCite \textit{A. B. Singer} and \textit{P. I. Barton}, J. Optim. Theory Appl. 121, No. 3, 613--646 (2004; Zbl 1107.90035) Full Text: DOI