Lin, Yun Hui; Tian, Qingyun Generalized Benders decomposition for competitive facility location with concave demand and zone-specialized variable attractiveness. (English) Zbl 07485258 Comput. Oper. Res. 130, Article ID 105236, 14 p. (2021). MSC: 90Bxx PDF BibTeX XML Cite \textit{Y. H. Lin} and \textit{Q. Tian}, Comput. Oper. Res. 130, Article ID 105236, 14 p. (2021; Zbl 07485258) Full Text: DOI OpenURL
Lin, Yun Hui; Tian, Qingyun Branch-and-cut approach based on generalized Benders decomposition for facility location with limited choice rule. (English) Zbl 07356011 Eur. J. Oper. Res. 293, No. 1, 109-119 (2021). MSC: 90Bxx PDF BibTeX XML Cite \textit{Y. H. Lin} and \textit{Q. Tian}, Eur. J. Oper. Res. 293, No. 1, 109--119 (2021; Zbl 07356011) Full Text: DOI OpenURL
Shams-Shoaaee, Seyed Shervin; Hassini, Elkafi Price optimization with reference price effects: a generalized Benders’ decomposition method and a myopic heuristic approach. (English) Zbl 1430.90435 Eur. J. Oper. Res. 280, No. 2, 555-567 (2020). MSC: 90C11 90C90 91B24 90C59 PDF BibTeX XML Cite \textit{S. S. Shams-Shoaaee} and \textit{E. Hassini}, Eur. J. Oper. Res. 280, No. 2, 555--567 (2020; Zbl 1430.90435) Full Text: DOI OpenURL
Li, Can; Grossmann, Ignacio E. A finite \(\epsilon\)-convergence algorithm for two-stage stochastic convex nonlinear programs with mixed-binary first and second-stage variables. (English) Zbl 1432.90095 J. Glob. Optim. 75, No. 4, 921-947 (2019). MSC: 90C15 90C11 90C25 PDF BibTeX XML Cite \textit{C. Li} and \textit{I. E. Grossmann}, J. Glob. Optim. 75, No. 4, 921--947 (2019; Zbl 1432.90095) Full Text: DOI OpenURL
Ogbe, Emmanuel; Li, Xiang A joint decomposition method for global optimization of multiscenario nonconvex mixed-integer nonlinear programs. (English) Zbl 1432.90092 J. Glob. Optim. 75, No. 3, 595-629 (2019). MSC: 90C11 90C26 PDF BibTeX XML Cite \textit{E. Ogbe} and \textit{X. Li}, J. Glob. Optim. 75, No. 3, 595--629 (2019; Zbl 1432.90092) Full Text: DOI arXiv Link OpenURL
Li, Can; Grossmann, Ignacio E. A generalized Benders decomposition-based branch and cut algorithm for two-stage stochastic programs with nonconvex constraints and mixed-binary first and second stage variables. (English) Zbl 1428.90106 J. Glob. Optim. 75, No. 2, 247-272 (2019). MSC: 90C15 90C11 90C57 PDF BibTeX XML Cite \textit{C. Li} and \textit{I. E. Grossmann}, J. Glob. Optim. 75, No. 2, 247--272 (2019; Zbl 1428.90106) Full Text: DOI OpenURL
Cui, Weiwei; Li, Lin; Lu, Zhiqiang Energy-efficient scheduling for sustainable manufacturing systems with renewable energy resources. (English) Zbl 1418.90108 Nav. Res. Logist. 66, No. 2, 154-173 (2019). MSC: 90B35 90C30 PDF BibTeX XML Cite \textit{W. Cui} et al., Nav. Res. Logist. 66, No. 2, 154--173 (2019; Zbl 1418.90108) Full Text: DOI OpenURL
Wei, Zhou; Ali, M. Montaz; Xu, Liang; Zeng, Bo; Yao, Jen-Chih On solving nonsmooth mixed-integer nonlinear programming problems by outer approximation and generalized benders decomposition. (English) Zbl 1414.90241 J. Optim. Theory Appl. 181, No. 3, 840-863 (2019). MSC: 90C11 90C25 90C30 PDF BibTeX XML Cite \textit{Z. Wei} et al., J. Optim. Theory Appl. 181, No. 3, 840--863 (2019; Zbl 1414.90241) Full Text: DOI OpenURL
Grimm, Veronika; Kleinert, Thomas; Liers, Frauke; Schmidt, Martin; Zöttl, Gregor Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches. (English) Zbl 1407.90077 Optim. Methods Softw. 34, No. 2, 406-436 (2019). MSC: 90B10 91B26 90C11 90C35 90C90 PDF BibTeX XML Cite \textit{V. Grimm} et al., Optim. Methods Softw. 34, No. 2, 406--436 (2019; Zbl 1407.90077) Full Text: DOI OpenURL
Soleimani-Alyar, Maryam; Ghaffari-Hadigheh, Alireza Dynamic network interdiction problem with uncertain data. (English) Zbl 1470.90164 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 26, No. 2, 327-342 (2018). MSC: 90C70 PDF BibTeX XML Cite \textit{M. Soleimani-Alyar} and \textit{A. Ghaffari-Hadigheh}, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 26, No. 2, 327--342 (2018; Zbl 1470.90164) Full Text: DOI OpenURL
Tapia-Ubeda, Francisco J.; Miranda, Pablo A.; Macchi, Marco A generalized Benders decomposition based algorithm for an inventory location problem with stochastic inventory capacity constraints. (English) Zbl 1403.90490 Eur. J. Oper. Res. 267, No. 3, 806-817 (2018). MSC: 90B80 90B05 90C11 PDF BibTeX XML Cite \textit{F. J. Tapia-Ubeda} et al., Eur. J. Oper. Res. 267, No. 3, 806--817 (2018; Zbl 1403.90490) Full Text: DOI Link OpenURL
Lu, Jie; Gupte, Akshay; Huang, Yongxi A mean-risk mixed integer nonlinear program for transportation network protection. (English) Zbl 1374.90061 Eur. J. Oper. Res. 265, No. 1, 277-289 (2018). MSC: 90B06 90C11 90C35 PDF BibTeX XML Cite \textit{J. Lu} et al., Eur. J. Oper. Res. 265, No. 1, 277--289 (2018; Zbl 1374.90061) Full Text: DOI Link OpenURL
Kůdela, Jakub; Popela, Pavel Warm-start cuts for generalized Benders decomposition. (English) Zbl 1449.90267 Kybernetika 53, No. 6, 1012-1025 (2017). MSC: 90C15 90C25 49M27 PDF BibTeX XML Cite \textit{J. Kůdela} and \textit{P. Popela}, Kybernetika 53, No. 6, 1012--1025 (2017; Zbl 1449.90267) Full Text: DOI Link OpenURL
Soleimani-Alyar, Maryam; Ghaffari-Hadigheh, Alireza Solving multi-period interdiction via generalized Bender’s decomposition. (English) Zbl 1370.90155 Acta Math. Appl. Sin., Engl. Ser. 33, No. 3, 633-644 (2017). MSC: 90C11 90C57 90C35 90C30 90B10 90C29 PDF BibTeX XML Cite \textit{M. Soleimani-Alyar} and \textit{A. Ghaffari-Hadigheh}, Acta Math. Appl. Sin., Engl. Ser. 33, No. 3, 633--644 (2017; Zbl 1370.90155) Full Text: DOI OpenURL
Aytug, Haldun Feature selection for support vector machines using generalized Benders decomposition. (English) Zbl 1347.62105 Eur. J. Oper. Res. 244, No. 1, 210-218 (2015). MSC: 62H30 68W10 62-07 90C20 90C90 PDF BibTeX XML Cite \textit{H. Aytug}, Eur. J. Oper. Res. 244, No. 1, 210--218 (2015; Zbl 1347.62105) Full Text: DOI OpenURL
Gendreau, Michel; Nossack, Jenny; Pesch, Erwin Mathematical formulations for a 1-full-truckload pickup-and-delivery problem. (English) Zbl 1341.90015 Eur. J. Oper. Res. 242, No. 3, 1008-1016 (2015). MSC: 90B06 90C27 90C35 PDF BibTeX XML Cite \textit{M. Gendreau} et al., Eur. J. Oper. Res. 242, No. 3, 1008--1016 (2015; Zbl 1341.90015) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. M. Frank} and \textit{S. Rebennack}, Eur. J. Oper. Res. 242, No. 3, 710--729 (2015; Zbl 1341.90084) Full Text: DOI OpenURL
Wei, Zhou; Ali, M. Montaz Generalized Benders decomposition for one class of MINLPs with vector conic constraint. (English) Zbl 1327.90143 SIAM J. Optim. 25, No. 3, 1809-1825 (2015). MSC: 90C11 90C25 90C30 PDF BibTeX XML Cite \textit{Z. Wei} and \textit{M. M. Ali}, SIAM J. Optim. 25, No. 3, 1809--1825 (2015; Zbl 1327.90143) Full Text: DOI arXiv OpenURL
Xie, Chi Bicriterion discrete equilibrium network design problem. (English) Zbl 1390.90129 Networks 63, No. 4, 286-305 (2014). MSC: 90B10 PDF BibTeX XML Cite \textit{C. Xie}, Networks 63, No. 4, 286--305 (2014; Zbl 1390.90129) Full Text: DOI OpenURL
Kuthambalayan, Thyagaraj S.; Mehta, Peeyush; Shanker, Kripa Integrating operations and marketing decisions using delayed differentiation of products and guaranteed delivery time under stochastic demand. (English) Zbl 1304.90117 Eur. J. Oper. Res. 237, No. 2, 617-627 (2014). MSC: 90B60 90C15 90C10 90C30 90C57 PDF BibTeX XML Cite \textit{T. S. Kuthambalayan} et al., Eur. J. Oper. Res. 237, No. 2, 617--627 (2014; Zbl 1304.90117) Full Text: DOI OpenURL
Chen, Shuang; Geunes, Joseph Optimal allocation of stock levels and stochastic customer demands to a capacitated resource. (English) Zbl 1269.91049 Ann. Oper. Res. 203, 33-54 (2013). MSC: 91B32 90B80 90C11 PDF BibTeX XML Cite \textit{S. Chen} and \textit{J. Geunes}, Ann. Oper. Res. 203, 33--54 (2013; Zbl 1269.91049) Full Text: DOI OpenURL
Li, Min; Vicente, Luís Nunes Inexact solution of NLP subproblems in MINLP. (English) Zbl 1288.90053 J. Glob. Optim. 55, No. 4, 877-899 (2013). MSC: 90C11 90C30 PDF BibTeX XML Cite \textit{M. Li} and \textit{L. N. Vicente}, J. Glob. Optim. 55, No. 4, 877--899 (2013; Zbl 1288.90053) Full Text: DOI Link OpenURL
Ağralı, Semra; Geunes, Joseph; Taşkın, Z. Caner A facility location model with safety stock costs: analysis of the cost of single-sourcing requirements. (English) Zbl 1261.90028 J. Glob. Optim. 54, No. 3, 551-581 (2012). MSC: 90C11 90C30 90B05 PDF BibTeX XML Cite \textit{S. Ağralı} et al., J. Glob. Optim. 54, No. 3, 551--581 (2012; Zbl 1261.90028) Full Text: DOI Link OpenURL
Salmerón, Javier Deception tactics for network interdiction: a multiobjective approach. (English) Zbl 1251.90071 Networks 60, No. 1, 45-58 (2012). MSC: 90B10 90C29 PDF BibTeX XML Cite \textit{J. Salmerón}, Networks 60, No. 1, 45--58 (2012; Zbl 1251.90071) Full Text: DOI OpenURL
Muñoz, Eduardo; Stolpe, Mathias Generalized Benders’ decomposition for topology optimization problems. (English) Zbl 1254.90129 J. Glob. Optim. 51, No. 1, 149-183 (2011). MSC: 90C11 90C90 74P05 74P15 PDF BibTeX XML Cite \textit{E. Muñoz} and \textit{M. Stolpe}, J. Glob. Optim. 51, No. 1, 149--183 (2011; Zbl 1254.90129) Full Text: DOI OpenURL
Miranda, G.; Luna, H. P.; De Camargo, R. S.; Pinto, L. R. Tree network design avoiding congestion. (English) Zbl 1225.90015 Appl. Math. Modelling 35, No. 9, 4175-4188 (2011). MSC: 90B10 05C82 90C35 90C11 PDF BibTeX XML Cite \textit{G. Miranda} et al., Appl. Math. Modelling 35, No. 9, 4175--4188 (2011; Zbl 1225.90015) Full Text: DOI OpenURL
Keskin, Burcu B.; Üster, Halit; Çetinkaya, Sıla Integration of strategic and tactical decisions for vendor selection under capacity constraints. (English) Zbl 1231.90040 Comput. Oper. Res. 37, No. 12, 2182-2191 (2010). MSC: 90B05 90C11 90B80 PDF BibTeX XML Cite \textit{B. B. Keskin} et al., Comput. Oper. Res. 37, No. 12, 2182--2191 (2010; Zbl 1231.90040) Full Text: DOI OpenURL
Liu, Changzheng; Fan, Yueyue; Ordóñez, Fernando A two-stage stochastic programming model for transportation network protection. (English) Zbl 1179.90246 Comput. Oper. Res. 36, No. 5, 1582-1590 (2009). MSC: 90C15 90B15 PDF BibTeX XML Cite \textit{C. Liu} et al., Comput. Oper. Res. 36, No. 5, 1582--1590 (2009; Zbl 1179.90246) Full Text: DOI OpenURL
Poojari, C. A.; Lucas, C.; Mitra, G. Robust solutions and risk measures for a supply chain planning problem under uncertainty. (English) Zbl 1167.90596 J. Oper. Res. Soc. 59, No. 1, 2-12 (2008). MSC: 90C10 90C15 91B30 PDF BibTeX XML Cite \textit{C. A. Poojari} et al., J. Oper. Res. Soc. 59, No. 1, 2--12 (2008; Zbl 1167.90596) Full Text: DOI OpenURL
Benson, H. P. Continuous modular design problem: analysis and solution algorithms. (English) Zbl 1139.90410 J. Optim. Theory Appl. 131, No. 2, 159-178 (2006). MSC: 90C20 49N15 PDF BibTeX XML Cite \textit{H. P. Benson}, J. Optim. Theory Appl. 131, No. 2, 159--178 (2006; Zbl 1139.90410) Full Text: DOI OpenURL
Shah, Sunil S.; Madhavan, K. P. Design of controllable batch processes in the presence of uncertainty. (English) Zbl 1090.90193 Ann. Oper. Res. 132, 223-241 (2004). MSC: 90C39 PDF BibTeX XML Cite \textit{S. S. Shah} and \textit{K. P. Madhavan}, Ann. Oper. Res. 132, 223--241 (2004; Zbl 1090.90193) Full Text: DOI OpenURL
Marín, A.; Salmerón, J. A risk function for the stochastic modeling of electric capacity expansion. (English) Zbl 0995.90073 Nav. Res. Logist. 48, No. 8, 662-683 (2001). MSC: 90C15 90B30 PDF BibTeX XML Cite \textit{A. Marín} and \textit{J. Salmerón}, Nav. Res. Logist. 48, No. 8, 662--683 (2001; Zbl 0995.90073) Full Text: DOI OpenURL
Csergőffy, Tibor Benders decomposition for multiobjective programs with cone inclusions. (English) Zbl 0992.90061 CEJOR, Cent. Eur. J. Oper. Res. 9, No. 3, 267-275 (2001). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C29 49M27 90C46 PDF BibTeX XML Cite \textit{T. Csergőffy}, CEJOR, Cent. Eur. J. Oper. Res. 9, No. 3, 267--275 (2001; Zbl 0992.90061) OpenURL
Mahey, Philippe; Benchakroun, Abdelhamid; Boyer, Florence Capacity and flow assignment of data networks by generalized Benders decomposition. (English) Zbl 1002.90082 J. Glob. Optim. 20, No. 2, 173-193 (2001). MSC: 90C35 90B10 90B80 PDF BibTeX XML Cite \textit{P. Mahey} et al., J. Glob. Optim. 20, No. 2, 173--193 (2001; Zbl 1002.90082) Full Text: DOI OpenURL
Carøe, Claus C.; Tind, Jørgen L-shaped decomposition of two-stage stochastic programs with integer recourse. (English) Zbl 0920.90107 Math. Program. 83, No. 3 (A), 451-464 (1998). MSC: 90C15 90C10 PDF BibTeX XML Cite \textit{C. C. Carøe} and \textit{J. Tind}, Math. Program. 83, No. 3 (A), 451--464 (1998; Zbl 0920.90107) Full Text: DOI OpenURL
Erenguc, S. Selcuk; Tufekci, Suleyman; Zappe, Christopher J. Solving time/cost trade-off problems with discounted cash flows using generalized Benders decomposition. (English) Zbl 0766.90055 Nav. Res. Logist. 40, No. 1, 25-50 (1993). MSC: 90B90 90C90 90B35 90-08 90C11 90C30 PDF BibTeX XML Cite \textit{S. S. Erenguc} et al., Nav. Res. Logist. 40, No. 1, 25--50 (1993; Zbl 0766.90055) Full Text: DOI OpenURL
Holmberg, K. Generalized cross decomposition applied to nonlinear integer programming problems: Duality gaps and convexification in parts. (English) Zbl 0817.90070 Optimization 23, No. 4, 341-356 (1992). MSC: 90C10 90C30 PDF BibTeX XML Cite \textit{K. Holmberg}, Optimization 23, No. 4, 341--356 (1992; Zbl 0817.90070) Full Text: DOI OpenURL
Zappe, Christopher J.; Cabot, A. Victor The application of generalized Benders decomposition to certain nonconcave programs. (English) Zbl 0719.90059 Comput. Math. Appl. 21, No. 6-7, 181-190 (1991). Reviewer: Christopher Zappe MSC: 90C26 PDF BibTeX XML Cite \textit{C. J. Zappe} and \textit{A. V. Cabot}, Comput. Math. Appl. 21, No. 6--7, 181--190 (1991; Zbl 0719.90059) Full Text: DOI OpenURL
Holmberg, Kaj On the convergence of cross decomposition. (English) Zbl 0715.90078 Math. Program., Ser. A 47, No. 2, 269-296 (1990). MSC: 90C11 90C05 90C30 65K05 90-08 PDF BibTeX XML Cite \textit{K. Holmberg}, Math. Program. 47, No. 2 (A), 269--296 (1990; Zbl 0715.90078) Full Text: DOI OpenURL
Bookbinder, James H.; Reece, Kathleen E. Vehicle routing considerations in distribution system design. (English) Zbl 0652.90036 Eur. J. Oper. Res. 37, No. 2, 204-213 (1988). MSC: 90B05 PDF BibTeX XML Cite \textit{J. H. Bookbinder} and \textit{K. E. Reece}, Eur. J. Oper. Res. 37, No. 2, 204--213 (1988; Zbl 0652.90036) Full Text: DOI OpenURL
Gracia, Angel Marin Optimization of nonlinear networks: convex and separable. (Spanish) Zbl 0627.90089 Operations research, Proc. 1st Int. Semin., Zarautz/Spain 1986, 173-203 (1987). MSC: 90C35 65K05 PDF BibTeX XML OpenURL
Tuy, Hoang Global minimization of a difference of two convex functions. (English) Zbl 0619.90061 Math. Program. Study 30, 150-182 (1987). Reviewer: A.L.Dontchev MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{H. Tuy}, Math. Program. Study 30, 150--182 (1987; Zbl 0619.90061) Full Text: DOI OpenURL
Geromel, José C.; Belloni, Maristela R. Nonlinear programs with complicating variables: Theoretical analysis and numerical experience. (English) Zbl 0601.90069 IEEE Trans. Syst. Man Cybern. 16, 231-239 (1986). MSC: 90B30 49M37 65K05 49M27 PDF BibTeX XML Cite \textit{J. C. Geromel} and \textit{M. R. Belloni}, IEEE Trans. Syst. Man Cybern. 16, 231--239 (1986; Zbl 0601.90069) Full Text: DOI OpenURL
Rouhani, R.; Lasdon, L.; Lebow, W.; Waren, A. D. A generalized Benders decomposition approach to reactive source planning in power systems. (English) Zbl 0583.90051 Math. Program. Study 25, 62-75 (1985). MSC: 90B99 65K05 90C90 90B05 49M27 90C10 90C30 PDF BibTeX XML Cite \textit{R. Rouhani} et al., Math. Program. Study 25, 62--75 (1985; Zbl 0583.90051) Full Text: DOI OpenURL
Bloom, Jeremy A.; Caramanis, Michael; Charny, Leonid Long-range generation planning using generalized Benders’ decomposition: Implementation and experience. (English) Zbl 0571.90033 Oper. Res. 32, 290-313 (1984). MSC: 90B30 90C90 65K05 90C39 PDF BibTeX XML Cite \textit{J. A. Bloom} et al., Oper. Res. 32, 290--313 (1984; Zbl 0571.90033) Full Text: DOI OpenURL
Geromel, J. C.; Baptistella, L. F. B. Optimal operation of thermal systems with start-up costs. (English) Zbl 0545.90060 Analysis and optimization of systems, Proc. 6th int. Conf., Nice 1984, Part 1, Lect. Notes Control Inf. Sci. 62, 116-126 (1984). MSC: 90B99 90C90 90C10 PDF BibTeX XML OpenURL
Bloom, Jeremy A.; Caramanis, Michael; Charny, Leonid Long-range generation planning using generalized Benders’ decomposition: Implementation and experience. (English) Zbl 0536.90050 Oper. Res. 32, 290-314 (1984). MSC: 90B99 90C90 90C39 65K05 90C06 PDF BibTeX XML Cite \textit{J. A. Bloom} et al., Oper. Res. 32, 290--314 (1984; Zbl 0536.90050) Full Text: DOI OpenURL
Sandblom, C. L.; Joernsten, K. O. A nonlinear duality approach to optimize an economic model with bounded controls. (English) Zbl 0515.90014 Methods Oper. Res. 46, 321-334 (1983). MSC: 91B62 49J99 90C90 PDF BibTeX XML Cite \textit{C. L. Sandblom} and \textit{K. O. Joernsten}, Methods Oper. Res. 46, 321--334 (1983; Zbl 0515.90014) OpenURL
Bloom, Jeremy A. Solving an electricity generating capacity expansion planning problem by generalized Benders’ decomposition. (English) Zbl 0495.90049 Oper. Res. 31, 84-100 (1983). MSC: 90B99 90C90 65K10 PDF BibTeX XML Cite \textit{J. A. Bloom}, Oper. Res. 31, 84--100 (1983; Zbl 0495.90049) Full Text: DOI OpenURL
Ogryczak, Wlodzimierz Location-allocation problems in mathematical programming. (Polish) Zbl 0506.90019 Spraw. Inst. Inf. Uniw. Warsz. 115, 40 p. (1982). MSC: 90B05 90C10 90-02 PDF BibTeX XML OpenURL
Lazimy, Rafael Mixed-integer quadratic programming. (English) Zbl 0475.90065 Math. Program. 22, 332-349 (1982). MSC: 90C11 90C20 65K05 PDF BibTeX XML Cite \textit{R. Lazimy}, Math. Program. 22, 332--349 (1982; Zbl 0475.90065) Full Text: DOI OpenURL
Hoang Hai Hoc Topological optimization of networks: A nonlinear mixed integer model employing generalized Benders decomposition. (English) Zbl 0472.90068 IEEE Trans. Autom. Control 27, 164-169 (1982). MSC: 90C35 90B10 90C11 65K05 68R10 PDF BibTeX XML Cite \textit{Hoang Hai Hoc}, IEEE Trans. Autom. Control 27, 164--169 (1982; Zbl 0472.90068) Full Text: DOI OpenURL