Mohammadi, Mohsen; Gentili, Monica; Hladík, Milan; Cerulli, Raffaele Quantifying outcome functions of linear programs: an approach based on interval-valued right-hand sides. (English) Zbl 07785181 J. Optim. Theory Appl. 199, No. 3, 955-992 (2023). MSC: 90C05 90C59 PDFBibTeX XMLCite \textit{M. Mohammadi} et al., J. Optim. Theory Appl. 199, No. 3, 955--992 (2023; Zbl 07785181) Full Text: DOI
Bestuzheva, Ksenia; Gleixner, Ambros; Achterberg, Tobias Efficient separation of RLT cuts for implicit and explicit bilinear products. (English) Zbl 07763004 Del Pia, Alberto (ed.) et al., Integer programming and combinatorial optimization. 24th international conference, IPCO 2023, Madison, WI, USA, June 21–23, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13904, 14-28 (2023). MSC: 90C11 90C26 PDFBibTeX XMLCite \textit{K. Bestuzheva} et al., Lect. Notes Comput. Sci. 13904, 14--28 (2023; Zbl 07763004) Full Text: DOI arXiv
Bärmann, Andreas; Martin, Alexander; Schneider, Oskar The bipartite Boolean quadric polytope with multiple-choice constraints. (English) Zbl 07760574 SIAM J. Optim. 33, No. 4, 2909-2934 (2023). MSC: 90C20 90C27 90C26 90C57 90C90 PDFBibTeX XMLCite \textit{A. Bärmann} et al., SIAM J. Optim. 33, No. 4, 2909--2934 (2023; Zbl 07760574) Full Text: DOI arXiv
Jeong, Jihwan; Sanner, Scott; Kumar, Akshat A mixed-integer linear programming reduction of disjoint bilinear programs via symbolic variable elimination. (English) Zbl 07745654 Cire, Andre A. (ed.), Integration of constraint programming, artificial intelligence, and operations research. 20th international conference, CPAIOR 2023, Nice, France, May 29 – June 1, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13884, 79-95 (2023). MSC: 68T20 90Bxx 90C27 PDFBibTeX XMLCite \textit{J. Jeong} et al., Lect. Notes Comput. Sci. 13884, 79--95 (2023; Zbl 07745654) Full Text: DOI
Wu, Huixian; Luo, Hezhi; Zhang, Xianye; Qi, Haiqiang An effective global algorithm for worst-case linear optimization under polyhedral uncertainty. (English) Zbl 07721396 J. Glob. Optim. 87, No. 1, 191-219 (2023). MSC: 90C05 90C25 PDFBibTeX XMLCite \textit{H. Wu} et al., J. Glob. Optim. 87, No. 1, 191--219 (2023; Zbl 07721396) Full Text: DOI
Jiao, Hongwei; Shang, Youlin; Chen, Rongjiang A potential practical algorithm for minimizing the sum of affine fractional functions. (English) Zbl 1519.90242 Optimization 72, No. 6, 1577-1607 (2023). MSC: 90C32 90C26 90C57 PDFBibTeX XMLCite \textit{H. Jiao} et al., Optimization 72, No. 6, 1577--1607 (2023; Zbl 1519.90242) Full Text: DOI
Zhang, Jie; Li, Yanfeng Collaborative vehicle-drone distribution network optimization for perishable products in the epidemic situation. (English) Zbl 1520.90067 Comput. Oper. Res. 149, Article ID 106039, 17 p. (2023). MSC: 90B06 90B80 90C59 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Y. Li}, Comput. Oper. Res. 149, Article ID 106039, 17 p. (2023; Zbl 1520.90067) Full Text: DOI
Alkhalifa, Loay Comparison between five MINLP solvers and new results related to trigonometric functions. (English) Zbl 1514.90167 Fractals 30, No. 10, Article ID 2240249, 13 p. (2022). MSC: 90C11 90C57 90C59 PDFBibTeX XMLCite \textit{L. Alkhalifa}, Fractals 30, No. 10, Article ID 2240249, 13 p. (2022; Zbl 1514.90167) Full Text: DOI
Zhen, Jianzhe; Marandi, Ahmadreza; de Moor, Danique; den Hertog, Dick; Vandenberghe, Lieven Disjoint bilinear optimization: a two-stage robust optimization perspective. (English) Zbl 07625881 INFORMS J. Comput. 34, No. 5, 2410-2427 (2022). MSC: 90Cxx PDFBibTeX XMLCite \textit{J. Zhen} et al., INFORMS J. Comput. 34, No. 5, 2410--2427 (2022; Zbl 07625881) Full Text: DOI
Oustry, Antoine AC optimal power flow: a conic programming relaxation and an iterative MILP scheme for global optimization. (English) Zbl 1506.90209 OJMO, Open J. Math. Optim. 3, Article No. 6, 19 p. (2022). MSC: 90C26 90C22 90C11 PDFBibTeX XMLCite \textit{A. Oustry}, OJMO, Open J. Math. Optim. 3, Article No. 6, 19 p. (2022; Zbl 1506.90209) Full Text: DOI
Cheng, Xin; Li, Xiang Discretization and global optimization for mixed integer bilinear programming. (English) Zbl 1505.90083 J. Glob. Optim. 84, No. 4, 843-867 (2022). MSC: 90C11 90C26 PDFBibTeX XMLCite \textit{X. Cheng} and \textit{X. Li}, J. Glob. Optim. 84, No. 4, 843--867 (2022; Zbl 1505.90083) Full Text: DOI
Bienstock, Daniel; Escobar, Mauro; Gentile, Claudio; Liberti, Leo Mathematical programming formulations for the alternating current optimal power flow problem. (English) Zbl 1492.90201 Ann. Oper. Res. 314, No. 1, 277-315 (2022). MSC: 90C90 90C26 PDFBibTeX XMLCite \textit{D. Bienstock} et al., Ann. Oper. Res. 314, No. 1, 277--315 (2022; Zbl 1492.90201) Full Text: DOI arXiv
Castro, Pedro M.; Liao, Qi; Liang, Yongtu Comparison of mixed-integer relaxations with linear and logarithmic partitioning schemes for quadratically constrained problems. (English) Zbl 1494.90081 Optim. Eng. 23, No. 2, 717-747 (2022). MSC: 90C26 PDFBibTeX XMLCite \textit{P. M. Castro} et al., Optim. Eng. 23, No. 2, 717--747 (2022; Zbl 1494.90081) Full Text: DOI
Jiao, Hongwei; Shang, Youlin; Wang, Wenjie Solving generalized polynomial problem by using new affine relaxed technique. (English) Zbl 1499.90277 Int. J. Comput. Math. 99, No. 2, 309-331 (2022). MSC: 90C57 90C26 90C32 65K05 PDFBibTeX XMLCite \textit{H. Jiao} et al., Int. J. Comput. Math. 99, No. 2, 309--331 (2022; Zbl 1499.90277) Full Text: DOI
Li, Qing; Li, Mingchu; Gan, Jianyuan; Guo, Cheng A game-theoretic approach for the location of terror response facilities with both disruption risk and hidden information. (English) Zbl 07768687 Int. Trans. Oper. Res. 28, No. 4, 1864-1889 (2021). MSC: 90B80 90C11 91A65 91A80 PDFBibTeX XMLCite \textit{Q. Li} et al., Int. Trans. Oper. Res. 28, No. 4, 1864--1889 (2021; Zbl 07768687) Full Text: DOI
Ardestani-Jaafari, Amir; Delage, Erick Linearized robust counterparts of two-stage robust optimization problems with applications in operations management. (English) Zbl 07548830 INFORMS J. Comput. 33, No. 3, 1138-1161 (2021). MSC: 90-XX 65-XX PDFBibTeX XMLCite \textit{A. Ardestani-Jaafari} and \textit{E. Delage}, INFORMS J. Comput. 33, No. 3, 1138--1161 (2021; Zbl 07548830) Full Text: DOI
Anstreicher, Kurt M.; Burer, Samuel; Park, Kyungchan Convex hull representations for bounded products of variables. (English) Zbl 1475.90037 J. Glob. Optim. 80, No. 4, 757-778 (2021). MSC: 90C11 90C20 90C22 90C25 90C26 PDFBibTeX XMLCite \textit{K. M. Anstreicher} et al., J. Glob. Optim. 80, No. 4, 757--778 (2021; Zbl 1475.90037) Full Text: DOI arXiv
Liers, Frauke; Martin, Alexander; Merkert, Maximilian; Mertens, Nick; Michaels, Dennis Solving mixed-integer nonlinear optimization problems using simultaneous convexification: a case study for gas networks. (English) Zbl 1473.90093 J. Glob. Optim. 80, No. 2, 307-340 (2021). MSC: 90C11 90C26 90C90 PDFBibTeX XMLCite \textit{F. Liers} et al., J. Glob. Optim. 80, No. 2, 307--340 (2021; Zbl 1473.90093) Full Text: DOI
Ma, Zu-Jun; Yang, Fei; Dai, Ying; Shen, Zuo-Jun Max The migratory beekeeping routing problem: model and an exact algorithm. (English) Zbl 07362318 INFORMS J. Comput. 33, No. 1, 319-335 (2021). MSC: 90Cxx PDFBibTeX XMLCite \textit{Z.-J. Ma} et al., INFORMS J. Comput. 33, No. 1, 319--335 (2021; Zbl 07362318) Full Text: DOI
Luo, Hezhi; Ding, Xiaodong; Peng, Jiming; Jiang, Rujun; Li, Duan Complexity results and effective algorithms for worst-case linear optimization under uncertainties. (English) Zbl 07362310 INFORMS J. Comput. 33, No. 1, 180-197 (2021). MSC: 90Cxx PDFBibTeX XMLCite \textit{H. Luo} et al., INFORMS J. Comput. 33, No. 1, 180--197 (2021; Zbl 07362310) Full Text: DOI
Buchholz, Peter; Dohndorf, Iryna A multi-objective approach for PH-graphs with applications to stochastic shortest paths. (English) Zbl 1462.90147 Math. Methods Oper. Res. 93, No. 1, 153-178 (2021). MSC: 90C35 90C29 PDFBibTeX XMLCite \textit{P. Buchholz} and \textit{I. Dohndorf}, Math. Methods Oper. Res. 93, No. 1, 153--178 (2021; Zbl 1462.90147) Full Text: DOI
Bienstock, Dan; Escobar, Mauro; Gentile, Claudio; Liberti, Leo Mathematical programming formulations for the alternating current optimal power flow problem. (English) Zbl 07347306 4OR 18, No. 3, 249-292 (2020). Reviewer: Gabriela Cristescu (Arad) MSC: 90C26 90C90 PDFBibTeX XMLCite \textit{D. Bienstock} et al., 4OR 18, No. 3, 249--292 (2020; Zbl 07347306) Full Text: DOI arXiv
Santana, Asteroide; Dey, Santanu S. The convex hull of a quadratic constraint over a polytope. (English) Zbl 1453.90115 SIAM J. Optim. 30, No. 4, 2983-2997 (2020). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{A. Santana} and \textit{S. S. Dey}, SIAM J. Optim. 30, No. 4, 2983--2997 (2020; Zbl 1453.90115) Full Text: DOI arXiv
Enayati, Shakiba; Özaltın, Osman Y. Optimal influenza vaccine distribution with equity. (English) Zbl 1431.92115 Eur. J. Oper. Res. 283, No. 2, 714-725 (2020). MSC: 92C60 90C30 PDFBibTeX XMLCite \textit{S. Enayati} and \textit{O. Y. Özaltın}, Eur. J. Oper. Res. 283, No. 2, 714--725 (2020; Zbl 1431.92115) Full Text: DOI
Fischetti, Matteo; Monaci, Michele A branch-and-cut algorithm for mixed-integer bilinear programming. (English) Zbl 1430.90431 Eur. J. Oper. Res. 282, No. 2, 506-514 (2020). MSC: 90C11 90C20 90C57 PDFBibTeX XMLCite \textit{M. Fischetti} and \textit{M. Monaci}, Eur. J. Oper. Res. 282, No. 2, 506--514 (2020; Zbl 1430.90431) Full Text: DOI Link
He, Su-Xiang; Liu, Yan; Wang, Chuan-Mei An augmented Lagrangian based semismooth Newton method for a class of bilinear programming problems. (English) Zbl 1449.90298 Appl. Math., Ser. B (Engl. Ed.) 34, No. 4, 446-459 (2019). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{S.-X. He} et al., Appl. Math., Ser. B (Engl. Ed.) 34, No. 4, 446--459 (2019; Zbl 1449.90298) Full Text: DOI
Rahman, Hamidur; Mahajan, Ashutosh Facets of a mixed-integer bilinear covering set with bounds on variables. (English) Zbl 1426.90192 J. Glob. Optim. 74, No. 3, 417-442 (2019). MSC: 90C11 90C26 PDFBibTeX XMLCite \textit{H. Rahman} and \textit{A. Mahajan}, J. Glob. Optim. 74, No. 3, 417--442 (2019; Zbl 1426.90192) Full Text: DOI arXiv
Bonami, Pierre; Lodi, Andrea; Schweiger, Jonas; Tramontani, Andrea Solving quadratic programming by cutting planes. (English) Zbl 1411.90247 SIAM J. Optim. 29, No. 2, 1076-1105 (2019). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{P. Bonami} et al., SIAM J. Optim. 29, No. 2, 1076--1105 (2019; Zbl 1411.90247) Full Text: DOI
Zheng, Yue; Zhang, Guangquan; Zhang, Zhen; Lu, Jie A reducibility method for the weak linear bilevel programming problems and a case study in principal-agent. (English) Zbl 1440.90057 Inf. Sci. 454-455, 46-58 (2018). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{Y. Zheng} et al., Inf. Sci. 454--455, 46--58 (2018; Zbl 1440.90057) Full Text: DOI Link
Baltean-Lugojan, Radu; Misener, Ruth Piecewise parametric structure in the pooling problem: from sparse strongly-polynomial solutions to NP-hardness. (English) Zbl 1405.90103 J. Glob. Optim. 71, No. 4, 655-690 (2018). MSC: 90C26 PDFBibTeX XMLCite \textit{R. Baltean-Lugojan} and \textit{R. Misener}, J. Glob. Optim. 71, No. 4, 655--690 (2018; Zbl 1405.90103) Full Text: DOI
Khor, Cheng Seong; Varvarezos, Dimitrios Petroleum refinery optimization. (English) Zbl 1390.90623 Optim. Eng. 18, No. 4, 943-989 (2017). MSC: 90C90 90B90 90B30 90B06 PDFBibTeX XMLCite \textit{C. S. Khor} and \textit{D. Varvarezos}, Optim. Eng. 18, No. 4, 943--989 (2017; Zbl 1390.90623) Full Text: DOI
Xu, Guanglin; Burer, Samuel A branch-and-bound algorithm for instrumental variable quantile regression. (English) Zbl 1387.90178 Math. Program. Comput. 9, No. 4, 471-497 (2017). MSC: 90C20 90C26 90C33 PDFBibTeX XMLCite \textit{G. Xu} and \textit{S. Burer}, Math. Program. Comput. 9, No. 4, 471--497 (2017; Zbl 1387.90178) Full Text: DOI
Davarnia, Danial; Richard, Jean-Philippe P.; Tawarmalani, Mohit Simultaneous convexification of bilinear functions over polytopes with application to network interdiction. (English) Zbl 1377.90066 SIAM J. Optim. 27, No. 3, 1801-1833 (2017). MSC: 90C26 90C30 90C35 90C57 90C90 91A43 PDFBibTeX XMLCite \textit{D. Davarnia} et al., SIAM J. Optim. 27, No. 3, 1801--1833 (2017; Zbl 1377.90066) Full Text: DOI
Li, Xiang; Tomasgard, Asgeir; Barton, Paul I. Natural gas production network infrastructure development under uncertainty. (English) Zbl 1364.90061 Optim. Eng. 18, No. 1, 35-62 (2017). MSC: 90B10 90C11 90C15 90C26 90C90 PDFBibTeX XMLCite \textit{X. Li} et al., Optim. Eng. 18, No. 1, 35--62 (2017; Zbl 1364.90061) Full Text: DOI Link
Ruiz, Juan P.; Grossmann, Ignacio E. Global optimization of non-convex generalized disjunctive programs: a review on reformulations and relaxation techniques. (English) Zbl 1359.90108 J. Glob. Optim. 67, No. 1-2, 43-58 (2017). MSC: 90C26 PDFBibTeX XMLCite \textit{J. P. Ruiz} and \textit{I. E. Grossmann}, J. Glob. Optim. 67, No. 1--2, 43--58 (2017; Zbl 1359.90108) Full Text: DOI
Boland, Natashia; Kalinowski, Thomas; Rigterink, Fabian New multi-commodity flow formulations for the pooling problem. (English) Zbl 1369.90132 J. Glob. Optim. 66, No. 4, 669-710 (2016). MSC: 90C26 PDFBibTeX XMLCite \textit{N. Boland} et al., J. Glob. Optim. 66, No. 4, 669--710 (2016; Zbl 1369.90132) Full Text: DOI
Boukouvala, Fani; Misener, Ruth; Floudas, Christodoulos A. Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO. (English) Zbl 1346.90677 Eur. J. Oper. Res. 252, No. 3, 701-727 (2016). MSC: 90C26 90C11 90C56 90-02 PDFBibTeX XMLCite \textit{F. Boukouvala} et al., Eur. J. Oper. Res. 252, No. 3, 701--727 (2016; Zbl 1346.90677) Full Text: DOI
Castro, Pedro M. Normalized multiparametric disaggregation: an efficient relaxation for mixed-integer bilinear problems. (English) Zbl 1346.90625 J. Glob. Optim. 64, No. 4, 765-784 (2016). MSC: 90C11 90C30 PDFBibTeX XMLCite \textit{P. M. Castro}, J. Glob. Optim. 64, No. 4, 765--784 (2016; Zbl 1346.90625) Full Text: DOI
Liu, Jing; Liu, Huicheng Canonical duality for box constrained nonconvex and nonsmooth optimization problems. (English) Zbl 1394.90554 Math. Probl. Eng. 2015, Article ID 354263, 9 p. (2015). MSC: 90C46 49J52 PDFBibTeX XMLCite \textit{J. Liu} and \textit{H. Liu}, Math. Probl. Eng. 2015, Article ID 354263, 9 p. (2015; Zbl 1394.90554) Full Text: DOI
Frank, Stephen M.; Rebennack, Steffen Optimal design of mixed AC-DC distribution systems for commercial buildings: a nonconvex generalized Benders decomposition approach. (English) Zbl 1341.90084 Eur. J. Oper. Res. 242, No. 3, 710-729 (2015). MSC: 90B90 90C26 90C35 90C57 PDFBibTeX XMLCite \textit{S. M. Frank} and \textit{S. Rebennack}, Eur. J. Oper. Res. 242, No. 3, 710--729 (2015; Zbl 1341.90084) Full Text: DOI
Misener, Ruth; Smadbeck, James B.; Floudas, Christodoulos A. Dynamically generated cutting planes for mixed-integer quadratically constrained quadratic programs and their incorporation into GloMIQO 2. (English) Zbl 1325.90071 Optim. Methods Softw. 30, No. 1, 215-249 (2015). MSC: 90C26 90C20 90C57 65K05 PDFBibTeX XMLCite \textit{R. Misener} et al., Optim. Methods Softw. 30, No. 1, 215--249 (2015; Zbl 1325.90071) Full Text: DOI Link
Niu, Yi-Shuai; Dinh, Tao Pham DC programming approaches for BMI and QMI feasibility problems. (English) Zbl 1327.90242 Do, Tien Van (ed.) et al., Advanced computational methods for knowledge engineering. Proceedings of the 2nd international conference on computer science, applied mathematics and applications, ICCSAMA 2014, Budapest, Hungary, May 8–9, 2014. Cham: Springer (ISBN 978-3-319-06568-7/pbk; 978-3-319-06569-4/ebook). Advances in Intelligent Systems and Computing 282, 37-63 (2014). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{Y.-S. Niu} and \textit{T. P. Dinh}, Adv. Intell. Syst. Comput. 282, 37--63 (2014; Zbl 1327.90242) Full Text: DOI
Bandi, Chaithanya; Bertsimas, Dimitris Optimal design for multi-item auctions: a robust optimization approach. (English) Zbl 1312.91054 Math. Oper. Res. 39, No. 4, 1012-1038 (2014). MSC: 91B26 91A80 PDFBibTeX XMLCite \textit{C. Bandi} and \textit{D. Bertsimas}, Math. Oper. Res. 39, No. 4, 1012--1038 (2014; Zbl 1312.91054) Full Text: DOI
Misener, Ruth; Floudas, Christodoulos A. A framework for globally optimizing mixed-integer signomial programs. (English) Zbl 1303.90074 J. Optim. Theory Appl. 161, No. 3, 905-932 (2014). MSC: 90C11 90C26 PDFBibTeX XMLCite \textit{R. Misener} and \textit{C. A. Floudas}, J. Optim. Theory Appl. 161, No. 3, 905--932 (2014; Zbl 1303.90074) Full Text: DOI Link
Zorn, Keith; Sahinidis, Nikolaos V. Global optimization of general nonconvex problems with intermediate polynomial substructures. (English) Zbl 1301.90066 J. Glob. Optim. 59, No. 2-3, 673-693 (2014). MSC: 90C11 90C26 90C57 PDFBibTeX XMLCite \textit{K. Zorn} and \textit{N. V. Sahinidis}, J. Glob. Optim. 59, No. 2--3, 673--693 (2014; Zbl 1301.90066) Full Text: DOI
Misener, Ruth; Floudas, Christodoulos A. ANTIGONE: algorithms for coNTinuous/Integer global optimization of nonlinear equations. (English) Zbl 1301.90063 J. Glob. Optim. 59, No. 2-3, 503-526 (2014). MSC: 90C11 90C26 PDFBibTeX XMLCite \textit{R. Misener} and \textit{C. A. Floudas}, J. Glob. Optim. 59, No. 2--3, 503--526 (2014; Zbl 1301.90063) Full Text: DOI
Castro, Pedro M.; Grossmann, Ignacio E. Optimality-based bound contraction with multiparametric disaggregation for the global optimization of mixed-integer bilinear problems. (English) Zbl 1298.90058 J. Glob. Optim. 59, No. 2-3, 277-306 (2014). MSC: 90C11 90C26 90C90 PDFBibTeX XMLCite \textit{P. M. Castro} and \textit{I. E. Grossmann}, J. Glob. Optim. 59, No. 2--3, 277--306 (2014; Zbl 1298.90058) Full Text: DOI
Zorn, Keith; Sahinidis, Nikolaos V. Global optimization of general non-convex problems with intermediate bilinear substructures. (English) Zbl 1285.90043 Optim. Methods Softw. 29, No. 3, 442-462 (2014). MSC: 90C26 90C11 PDFBibTeX XMLCite \textit{K. Zorn} and \textit{N. V. Sahinidis}, Optim. Methods Softw. 29, No. 3, 442--462 (2014; Zbl 1285.90043) Full Text: DOI
Mitchell, John E.; Pang, Jong-Shi; Yu, Bin Convex quadratic relaxations of nonconvex quadratically constrained quadratic programs. (English) Zbl 1282.90117 Optim. Methods Softw. 29, No. 1, 120-136 (2014). MSC: 90C20 90C25 PDFBibTeX XMLCite \textit{J. E. Mitchell} et al., Optim. Methods Softw. 29, No. 1, 120--136 (2014; Zbl 1282.90117) Full Text: DOI
O’Hanley, Jesse R.; Scaparra, M. Paola; García, Sergio Probability chains: a general linearization technique for modeling reliability in facility location and related problems. (English) Zbl 1317.90210 Eur. J. Oper. Res. 230, No. 1, 63-75 (2013). MSC: 90C11 90B80 90B25 90C05 PDFBibTeX XMLCite \textit{J. R. O'Hanley} et al., Eur. J. Oper. Res. 230, No. 1, 63--75 (2013; Zbl 1317.90210) Full Text: DOI
Su, Yiqiang; Geunes, Joseph Multi-period price promotions in a single-supplier, multi-retailer supply chain under asymmetric demand information. (English) Zbl 1291.90026 Ann. Oper. Res. 211, 447-472 (2013). MSC: 90B05 90C20 91A80 91A65 PDFBibTeX XMLCite \textit{Y. Su} and \textit{J. Geunes}, Ann. Oper. Res. 211, 447--472 (2013; Zbl 1291.90026) Full Text: DOI
Kolodziej, Scott; Castro, Pedro M.; Grossmann, Ignacio E. Global optimization of bilinear programs with a multiparametric disaggregation technique. (English) Zbl 1282.90137 J. Glob. Optim. 57, No. 4, 1039-1063 (2013). MSC: 90C26 90C11 PDFBibTeX XMLCite \textit{S. Kolodziej} et al., J. Glob. Optim. 57, No. 4, 1039--1063 (2013; Zbl 1282.90137) Full Text: DOI
Mittal, Shashi; Schulz, Andreas S. An FPTAS for optimizing a class of low-rank functions over a polytope. (English) Zbl 1280.90096 Math. Program. 141, No. 1-2 (A), 103-120 (2013). MSC: 90C26 90C27 90C20 90C29 PDFBibTeX XMLCite \textit{S. Mittal} and \textit{A. S. Schulz}, Math. Program. 141, No. 1--2 (A), 103--120 (2013; Zbl 1280.90096) Full Text: DOI Link
Misener, Ruth; Floudas, Christodoulos A. GLOMIQO: global mixed-integer quadratic optimizer. (English) Zbl 1272.90034 J. Glob. Optim. 57, No. 1, 3-50 (2013). MSC: 90C11 90C22 65K05 90-08 PDFBibTeX XMLCite \textit{R. Misener} and \textit{C. A. Floudas}, J. Glob. Optim. 57, No. 1, 3--50 (2013; Zbl 1272.90034) Full Text: DOI Link
Li, Xiang; Tomasgard, Asgeir; Barton, Paul I. Decomposition strategy for the stochastic pooling problem. (English) Zbl 1282.90141 J. Glob. Optim. 54, No. 4, 765-790 (2012). MSC: 90C26 90C15 PDFBibTeX XMLCite \textit{X. Li} et al., J. Glob. Optim. 54, No. 4, 765--790 (2012; Zbl 1282.90141) Full Text: DOI
Misener, Ruth; Floudas, Christodoulos A. Global optimization of mixed-integer quadratically-constrained quadratic programs (MIQCQP) through piecewise-linear and edge-concave relaxations. (English) Zbl 1257.90079 Math. Program. 136, No. 1 (B), 155-182 (2012). MSC: 90C26 90C20 90C57 PDFBibTeX XMLCite \textit{R. Misener} and \textit{C. A. Floudas}, Math. Program. 136, No. 1 (B), 155--182 (2012; Zbl 1257.90079) Full Text: DOI
Bandi, Michael Martin Chaithanya; Bertsimas, Dimitris Tractable stochastic analysis in high dimensions via robust optimization. (English) Zbl 1263.90001 Math. Program. 134, No. 1 (B), 23-70 (2012). MSC: 90-02 90B22 91B70 49K45 PDFBibTeX XMLCite \textit{M. M. C. Bandi} and \textit{D. Bertsimas}, Math. Program. 134, No. 1 (B), 23--70 (2012; Zbl 1263.90001) Full Text: DOI Link
Nonyane, Donald R.; Majozi, Thokozani Long term scheduling technique for wastewater minimisation in multipurpose batch processes. (English) Zbl 1243.90111 Appl. Math. Modelling 36, No. 5, 2142-2168 (2012). MSC: 90B90 90B35 PDFBibTeX XMLCite \textit{D. R. Nonyane} and \textit{T. Majozi}, Appl. Math. Modelling 36, No. 5, 2142--2168 (2012; Zbl 1243.90111) Full Text: DOI
Ruiz, Juan P.; Grossmann, Ignacio E. Exploiting vector space properties to strengthen the relaxation of bilinear programs arising in the global optimization of process networks. (English) Zbl 1211.90186 Optim. Lett. 5, No. 1, 1-11 (2011). MSC: 90C26 PDFBibTeX XMLCite \textit{J. P. Ruiz} and \textit{I. E. Grossmann}, Optim. Lett. 5, No. 1, 1--11 (2011; Zbl 1211.90186) Full Text: DOI
D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea On interval-subgradient and no-good cuts. (English) Zbl 1202.90238 Oper. Res. Lett. 38, No. 5, 341-345 (2010). MSC: 90C30 PDFBibTeX XMLCite \textit{C. D'Ambrosio} et al., Oper. Res. Lett. 38, No. 5, 341--345 (2010; Zbl 1202.90238) Full Text: DOI
Anstreicher, Kurt M.; Burer, Samuel Computable representations for convex hulls of low-dimensional quadratic forms. (English) Zbl 1198.90311 Math. Program. 124, No. 1-2 (B), 33-43 (2010). MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{K. M. Anstreicher} and \textit{S. Burer}, Math. Program. 124, No. 1--2 (B), 33--43 (2010; Zbl 1198.90311) Full Text: DOI Link
Richard, Jean-Philippe P.; Tawarmalani, Mohit Lifting inequalities: a framework for generating strong cuts for nonlinear programs. (English) Zbl 1184.90130 Math. Program. 121, No. 1 (A), 61-104 (2010). MSC: 90C26 90C30 90C11 PDFBibTeX XMLCite \textit{J.-P. P. Richard} and \textit{M. Tawarmalani}, Math. Program. 121, No. 1 (A), 61--104 (2010; Zbl 1184.90130) Full Text: DOI
Perron, Sylvain; Hansen, Pierre; Le Digabel, Sébastien; Mladenović, Nenad Exact and heuristic solutions of the global supply chain problem with transfer pricing. (English) Zbl 1176.90667 Eur. J. Oper. Res. 202, No. 3, 864-879 (2010). MSC: 90C59 90C57 PDFBibTeX XMLCite \textit{S. Perron} et al., Eur. J. Oper. Res. 202, No. 3, 864--879 (2010; Zbl 1176.90667) Full Text: DOI
Almutairi, Hossa; Elhedhli, Samir A new Lagrangean approach to the pooling problem. (English) Zbl 1193.90189 J. Glob. Optim. 45, No. 2, 237-257 (2009). MSC: 90C30 90C11 PDFBibTeX XMLCite \textit{H. Almutairi} and \textit{S. Elhedhli}, J. Glob. Optim. 45, No. 2, 237--257 (2009; Zbl 1193.90189) Full Text: DOI
Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Nascimento, Marco Antonio Chaer Reformulation in mathematical programming: An application to quantum chemistry. (English) Zbl 1173.90494 Discrete Appl. Math. 157, No. 6, 1309-1318 (2009). MSC: 90C20 90C26 90C11 PDFBibTeX XMLCite \textit{L. Liberti} et al., Discrete Appl. Math. 157, No. 6, 1309--1318 (2009; Zbl 1173.90494) Full Text: DOI
Liberti, Leo Reformulations in mathematical programming: Definitions and systematics. (English) Zbl 1158.90390 RAIRO, Oper. Res. 43, No. 1, 55 (2009). MSC: 90C11 90C26 90C27 90C30 90C99 PDFBibTeX XMLCite \textit{L. Liberti}, RAIRO, Oper. Res. 43, No. 1, 55 (2009; Zbl 1158.90390) Full Text: DOI EuDML Link
Audet, Charles; Hansen, Pierre; Karam, Alejandro; Ng, Chi To; Perron, Sylvain Exact \(L_{2}\)-norm plane separation. (English) Zbl 1159.90514 Optim. Lett. 2, No. 4, 483-495 (2008). MSC: 90C46 90C20 90C26 PDFBibTeX XMLCite \textit{C. Audet} et al., Optim. Lett. 2, No. 4, 483--495 (2008; Zbl 1159.90514) Full Text: DOI
Karuppiah, Ramkumar; Grossmann, Ignacio E. A lagrangean based branch-and-cut algorithm for global optimization of nonconvex mixed-integer nonlinear programs with decomposable structures. (English) Zbl 1145.90055 J. Glob. Optim. 41, No. 2, 163-186 (2008). MSC: 90C26 90C57 PDFBibTeX XMLCite \textit{R. Karuppiah} and \textit{I. E. Grossmann}, J. Glob. Optim. 41, No. 2, 163--186 (2008; Zbl 1145.90055) Full Text: DOI
Ding, Xiaosong; Al-Khayyal, Faiz Accelerating convergence of cutting plane algorithms for disjoint bilinear programming. (English) Zbl 1171.90494 J. Glob. Optim. 38, No. 3, 421-436 (2007). MSC: 90C20 90C57 PDFBibTeX XMLCite \textit{X. Ding} and \textit{F. Al-Khayyal}, J. Glob. Optim. 38, No. 3, 421--436 (2007; Zbl 1171.90494) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric Extremal problems for convex polygons. (English) Zbl 1179.90306 J. Glob. Optim. 38, No. 2, 163-179 (2007). MSC: 90C30 52A40 52B55 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Glob. Optim. 38, No. 2, 163--179 (2007; Zbl 1179.90306) Full Text: DOI
Liberti, Leo; Pantelides, Constantinos C. An exact reformulation algorithm for large nonconvex nLPs involving bilinear terms. (English) Zbl 1131.90045 J. Glob. Optim. 36, No. 2, 161-189 (2006). MSC: 90C26 PDFBibTeX XMLCite \textit{L. Liberti} and \textit{C. C. Pantelides}, J. Glob. Optim. 36, No. 2, 161--189 (2006; Zbl 1131.90045) Full Text: DOI
Marcovecchio, Marian G.; Bergamini, María L.; Aguirre, Pio A. Improve-and-branch algorithm for the global optimization of nonconvex NLP problems. (English) Zbl 1098.90094 J. Glob. Optim. 34, No. 3, 339-368 (2006). MSC: 90C57 90C26 PDFBibTeX XMLCite \textit{M. G. Marcovecchio} et al., J. Glob. Optim. 34, No. 3, 339--368 (2006; Zbl 1098.90094) Full Text: DOI
Adams, Warren P.; Sherali, Hanif D. A hierarchy of relaxations leading to the convex hull representation for general discrete optimization problems. (English) Zbl 1091.90060 Ann. Oper. Res. 140, 21-47 (2005). MSC: 90C27 90C10 PDFBibTeX XMLCite \textit{W. P. Adams} and \textit{H. D. Sherali}, Ann. Oper. Res. 140, 21--47 (2005; Zbl 1091.90060) Full Text: DOI
Liberti, Leo Linearity embedded in nonconvex programs. (English) Zbl 1124.90026 J. Glob. Optim. 33, No. 2, 157-196 (2005). MSC: 90C26 90C20 PDFBibTeX XMLCite \textit{L. Liberti}, J. Glob. Optim. 33, No. 2, 157--196 (2005; Zbl 1124.90026) Full Text: DOI
Linderoth, Jeff A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs. (English) Zbl 1099.90039 Math. Program. 103, No. 2 (B), 251-282 (2005). MSC: 90C20 90C57 PDFBibTeX XMLCite \textit{J. Linderoth}, Math. Program. 103, No. 2 (B), 251--282 (2005; Zbl 1099.90039) Full Text: DOI
Meyer, Clifford A.; Floudas, Christodoulos A. Convex envelopes for edge-concave functions. (English) Zbl 1099.90045 Math. Program. 103, No. 2 (B), 207-224 (2005). MSC: 90C26 90C59 PDFBibTeX XMLCite \textit{C. A. Meyer} and \textit{C. A. Floudas}, Math. Program. 103, No. 2 (B), 207--224 (2005; Zbl 1099.90045) Full Text: DOI
Gao, Yuelin; Xu, Chengxian; Wang, Yanjun; Zhang, Lianshen A new two-level linear relaxed bound method for geometric programming problems. (English) Zbl 1069.65064 Appl. Math. Comput. 164, No. 1, 117-131 (2005). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 90C57 PDFBibTeX XMLCite \textit{Y. Gao} et al., Appl. Math. Comput. 164, No. 1, 117--131 (2005; Zbl 1069.65064) Full Text: DOI
Akrotirianakis, Ioannis G.; Floudas, Christodoulos A. A new class of improved convex underestimators for twice continuously differentiable constrained NLPs. (English) Zbl 1082.90090 J. Glob. Optim. 30, No. 4, 367-390 (2004). MSC: 90C26 PDFBibTeX XMLCite \textit{I. G. Akrotirianakis} and \textit{C. A. Floudas}, J. Glob. Optim. 30, No. 4, 367--390 (2004; Zbl 1082.90090) Full Text: DOI
Liberti, Leo Reduction constraints for the global optimization of NLPs. (English) Zbl 1057.90043 Int. Trans. Oper. Res. 11, No. 1, 33-41 (2004). MSC: 90C26 90C57 PDFBibTeX XMLCite \textit{L. Liberti}, Int. Trans. Oper. Res. 11, No. 1, 33--41 (2004; Zbl 1057.90043) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric; Perron, Sylvain The minimum diameter octagon with unit-length sides: Vincze’s wife’s octagon is suboptimal. (English) Zbl 1107.90031 J. Comb. Theory, Ser. A 108, No. 1, 63-75 (2004). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Comb. Theory, Ser. A 108, No. 1, 63--75 (2004; Zbl 1107.90031) Full Text: DOI
Kojima, Masakazu; Tuncel, Levent On the finite convergence of successive SDP relaxation methods. (English) Zbl 1058.90048 Eur. J. Oper. Res. 143, No. 2, 325-341 (2002). MSC: 90C22 90C51 PDFBibTeX XMLCite \textit{M. Kojima} and \textit{L. Tuncel}, Eur. J. Oper. Res. 143, No. 2, 325--341 (2002; Zbl 1058.90048) Full Text: DOI
Vidal, Carlos J.; Goetschalckx, Marc A global supply chain model with transfer pricing and transportation cost allocation. (English) Zbl 0990.90008 Eur. J. Oper. Res. 129, No. 1, 134-158 (2001). MSC: 90B06 90B30 90C90 PDFBibTeX XMLCite \textit{C. J. Vidal} and \textit{M. Goetschalckx}, Eur. J. Oper. Res. 129, No. 1, 134--158 (2001; Zbl 0990.90008) Full Text: DOI
Tuan, H. D.; Apkarian, P.; Nakashima, Y. A new Lagrangian dual global optimization algorithm for solving bilinear matrix inequalities. (English) Zbl 0957.93028 Int. J. Robust Nonlinear Control 10, No. 7, 561-578 (2000). Reviewer: Alfred Göpfert (Halle) MSC: 93B40 15A39 PDFBibTeX XMLCite \textit{H. D. Tuan} et al., Int. J. Robust Nonlinear Control 10, No. 7, 561--578 (2000; Zbl 0957.93028) Full Text: DOI
Bretthauer, Kurt M. Optimal service and arrival rates in Jackson queueing networks. (English) Zbl 0956.90003 Nav. Res. Logist. 47, No. 1, 1-17 (2000). MSC: 90B10 90B22 90C26 68M20 PDFBibTeX XMLCite \textit{K. M. Bretthauer}, Nav. Res. Logist. 47, No. 1, 1--17 (2000; Zbl 0956.90003) Full Text: DOI
Liu, Ming Long; Sahinidis, Nikolaos V. Process planning in a fuzzy environment. (English) Zbl 0947.90608 Eur. J. Oper. Res. 100, No. 1, 142-169 (1997). MSC: 90B99 90C30 90C11 PDFBibTeX XMLCite \textit{M. L. Liu} and \textit{N. V. Sahinidis}, Eur. J. Oper. Res. 100, No. 1, 142--169 (1997; Zbl 0947.90608) Full Text: DOI
Sherali, H. D.; Krishnamurthy, R. S.; Al-Khayyal, F. A. Enhanced intersection cutting-plane approach for linear complementarity problems. (English) Zbl 0866.90126 J. Optimization Theory Appl. 90, No. 1, 183-201 (1996). MSC: 90C33 PDFBibTeX XMLCite \textit{H. D. Sherali} et al., J. Optim. Theory Appl. 90, No. 1, 183--201 (1996; Zbl 0866.90126) Full Text: DOI
Ryoo, Hong S.; Sahinidis, Nikolaos V. A branch-and-reduce approach to global optimization. (English) Zbl 0856.90103 J. Glob. Optim. 8, No. 2, 107-138 (1996). MSC: 90C30 65K05 90C11 90C20 PDFBibTeX XMLCite \textit{H. S. Ryoo} and \textit{N. V. Sahinidis}, J. Glob. Optim. 8, No. 2, 107--138 (1996; Zbl 0856.90103) Full Text: DOI
Androulakis, I. P.; Maranas, C. D.; Floudas, C. A. \(\alpha BB\): A global optimization method for general constrained nonconvex problems. (English) Zbl 0846.90087 J. Glob. Optim. 7, No. 4, 337-363 (1995). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{I. P. Androulakis} et al., J. Glob. Optim. 7, No. 4, 337--363 (1995; Zbl 0846.90087) Full Text: DOI
Sherali, Hanif D.; Tuncbilek, Cihan H. A reformulation-convexification approach for solving nonconvex quadratic programming problems. (English) Zbl 0844.90064 J. Glob. Optim. 7, No. 1, 1-31 (1995). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{H. D. Sherali} and \textit{C. H. Tuncbilek}, J. Glob. Optim. 7, No. 1, 1--31 (1995; Zbl 0844.90064) Full Text: DOI
Muu, Le Dung; Phong, Thai Quynh; Tao, Pham Dinh Decomposition methods for solving a class of nonconvex programming problems dealing with bilinear and quadratic functions. (English) Zbl 0834.90101 Comput. Optim. Appl. 4, No. 3, 203-216 (1995). MSC: 90C20 90C26 90C11 PDFBibTeX XMLCite \textit{L. D. Muu} et al., Comput. Optim. Appl. 4, No. 3, 203--216 (1995; Zbl 0834.90101) Full Text: DOI
Quesada, Ignacio; Grossmann, Ignacio E. A global optimization algorithm for linear fractional and bilinear programs. (English) Zbl 0835.90074 J. Glob. Optim. 6, No. 1, 39-76 (1995). MSC: 90C26 90C32 PDFBibTeX XMLCite \textit{I. Quesada} and \textit{I. E. Grossmann}, J. Glob. Optim. 6, No. 1, 39--76 (1995; Zbl 0835.90074) Full Text: DOI
Sherali, Hanif D.; Alameddine, Amine; Glickman, Theodore S. Biconvex models and algorithms for risk management problems. (English) Zbl 0828.90024 Am. J. Math. Manage. Sci. 14, No. 3-4, 197-228 (1994). MSC: 91B30 90C26 90C90 PDFBibTeX XMLCite \textit{H. D. Sherali} et al., Am. J. Math. Manage. Sci. 14, No. 3--4, 197--228 (1994; Zbl 0828.90024) Full Text: DOI
Horst, R.; Muu, L. D.; Nast, M. Branch-and-bound decomposition approach for solving quasiconvex-concave programs. (English) Zbl 0827.90117 J. Optimization Theory Appl. 82, No. 2, 267-293 (1994). Reviewer: S.Shih (Tianjin) MSC: 90C26 90C30 90C32 PDFBibTeX XMLCite \textit{R. Horst} et al., J. Optim. Theory Appl. 82, No. 2, 267--293 (1994; Zbl 0827.90117) Full Text: DOI
Sherali, Hanif D.; Adams, Warren P. A hierarchy of relaxations and convex hull characterizations for mixed- integer zero-one programming problems. (English) Zbl 0819.90064 Discrete Appl. Math. 52, No. 1, 83-106 (1994). MSC: 90C11 90C09 PDFBibTeX XMLCite \textit{H. D. Sherali} and \textit{W. P. Adams}, Discrete Appl. Math. 52, No. 1, 83--106 (1994; Zbl 0819.90064) Full Text: DOI
Sherali, Hanif D.; Ramachandran, Sridhar; Kim, Seong-in A localization and reformulation discrete programming approach for the rectilinear distance location-allocation problem. (English) Zbl 0799.90071 Discrete Appl. Math. 49, No. 1-3, 357-378 (1994). MSC: 90B80 90C11 PDFBibTeX XMLCite \textit{H. D. Sherali} et al., Discrete Appl. Math. 49, No. 1--3, 357--378 (1994; Zbl 0799.90071) Full Text: DOI
Hansen, Pierre; Jaumard, Brigitte Reduction of indefinite quadratic programs to bilinear programs. (English) Zbl 0786.90050 J. Glob. Optim. 2, No. 1, 41-60 (1992). Reviewer: I.M.Stancu-Minasin (Bucureşti) MSC: 90C20 90-08 PDFBibTeX XMLCite \textit{P. Hansen} and \textit{B. Jaumard}, J. Glob. Optim. 2, No. 1, 41--60 (1992; Zbl 0786.90050) Full Text: DOI