Speed-up Benders decomposition using maximum density cut (MDC) generation
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DOI: 10.1007/s10479-012-1237-8
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- Jean-François Cordeau & Federico Pasin & Marius Solomon, 2006. "An integrated model for logistics network design," Annals of Operations Research, Springer, vol. 144(1), pages 59-82, April.
- Freund, Robert Michael. & Roundy, Robin. & Todd, Michael J., 1947-, 1985. "Identifying the set of always-active constraints in a system of linear inequalities by a single linear program," Working papers 1674-85., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Cote, Gilles & Laughton, Michael A., 1984. "Large-scale mixed integer programming: Benders-type heuristics," European Journal of Operational Research, Elsevier, vol. 16(3), pages 327-333, June.
- T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
- VAN ROY, Tony J., 1983. "Cross decomposition for mixed integer programming," LIDAM Reprints CORE 496, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Jean-François Cordeau & François Soumis & Jacques Desrosiers, 2000. "A Benders Decomposition Approach for the Locomotive and Car Assignment Problem," Transportation Science, INFORMS, vol. 34(2), pages 133-149, May.
- Michel Minoux, 2001. "Discrete Cost Multicommodity Network Optimization Problems and Exact Solution Methods," Annals of Operations Research, Springer, vol. 106(1), pages 19-46, September.
- A. Ghaffari Hadigheh & K. Mirnia & T. Terlaky, 2007. "Active Constraint Set Invariancy Sensitivity Analysis in Linear Optimization," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 303-315, June.
- Holmberg, Kaj, 1994. "On using approximations of the Benders master problem," European Journal of Operational Research, Elsevier, vol. 77(1), pages 111-125, August.
- Dale McDaniel & Mike Devine, 1977. "A Modified Benders' Partitioning Algorithm for Mixed Integer Programming," Management Science, INFORMS, vol. 24(3), pages 312-319, November.
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Cited by:
- Hooshmand, F. & Mirarabrazi, F. & MirHassani, S.A., 2020. "Efficient Benders decomposition for distance-based critical node detection problem," Omega, Elsevier, vol. 93(C).
- Fausto Errico & Teodor Gabriel Crainic & Federico Malucelli & Maddalena Nonato, 2017. "A Benders Decomposition Approach for the Symmetric TSP with Generalized Latency Arising in the Design of Semiflexible Transit Systems," Transportation Science, INFORMS, vol. 51(2), pages 706-722, May.
- Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
- Tolga Bektaş & Alper Hamzadayı & Rubén Ruiz, 2020. "Benders decomposition for the mixed no-idle permutation flowshop scheduling problem," Journal of Scheduling, Springer, vol. 23(4), pages 513-523, August.
- Jose L. Andrade-Pineda & David Canca & Pedro L. Gonzalez-R, 2017. "On modelling non-linear quantity discounts in a supplier selection problem by mixed linear integer optimization," Annals of Operations Research, Springer, vol. 258(2), pages 301-346, November.
- Emilia Grass & Kathrin Fischer & Antonia Rams, 2020. "An accelerated L-shaped method for solving two-stage stochastic programs in disaster management," Annals of Operations Research, Springer, vol. 284(2), pages 557-582, January.
- Simon Emde & Shohre Zehtabian & Yann Disser, 2023. "Point-to-point and milk run delivery scheduling: models, complexity results, and algorithms based on Benders decomposition," Annals of Operations Research, Springer, vol. 322(1), pages 467-496, March.
- M. Jenabi & S. Fatemi Ghomi & S. Torabi & S. Hosseinian, 2015. "Acceleration strategies of Benders decomposition for the security constraints power system expansion planning," Annals of Operations Research, Springer, vol. 235(1), pages 337-369, December.
- N. Beheshti Asl & S. A. MirHassani, 2019. "Accelerating benders decomposition: multiple cuts via multiple solutions," Journal of Combinatorial Optimization, Springer, vol. 37(3), pages 806-826, April.
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Keywords
Benders decomposition; Mixed integer linear programming; Multi-generation of cuts; Covering cut bundle generation (CCB); Active constraints;All these keywords.
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