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Decomposition and Nondifferentiable Optimization with the Projective Algorithm

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Cited by:

  1. Mohammad R. Oskoorouchi & Hamid R. Ghaffari & Tamás Terlaky & Dionne M. Aleman, 2011. "An Interior Point Constraint Generation Algorithm for Semi-Infinite Optimization with Health-Care Application," Operations Research, INFORMS, vol. 59(5), pages 1184-1197, October.
  2. Klose, Andreas & Gortz, Simon, 2007. "A branch-and-price algorithm for the capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1109-1125, June.
  3. Csaba Fábián & Olga Papp & Krisztián Eretnek, 2013. "Implementing the simplex method as a cutting-plane method, with a view to regularization," Computational Optimization and Applications, Springer, vol. 56(2), pages 343-368, October.
  4. Claude Lemaréchal, 2007. "The omnipresence of Lagrange," Annals of Operations Research, Springer, vol. 153(1), pages 9-27, September.
  5. Nagih, Anass & Soumis, Francois, 2006. "Nodal aggregation of resource constraints in a shortest path problem," European Journal of Operational Research, Elsevier, vol. 172(2), pages 500-514, July.
  6. Samir Elhedhli & Jean-Louis Goffin, 2005. "Efficient Production-Distribution System Design," Management Science, INFORMS, vol. 51(7), pages 1151-1164, July.
  7. Gondzio, J. & Sarkissian, R. & Vial, J.-P., 1997. "Using an interior point method for the master problem in a decomposition approach," European Journal of Operational Research, Elsevier, vol. 101(3), pages 577-587, September.
  8. Júlíus Atlason & Marina A. Epelman & Shane G. Henderson, 2008. "Optimizing Call Center Staffing Using Simulation and Analytic Center Cutting-Plane Methods," Management Science, INFORMS, vol. 54(2), pages 295-309, February.
  9. Klose, Andreas, 2000. "A Lagrangean relax-and-cut approach for the two-stage capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 126(2), pages 408-421, October.
  10. F. Babonneau & O. du Merle & J.-P. Vial, 2006. "Solving Large-Scale Linear Multicommodity Flow Problems with an Active Set Strategy and Proximal-ACCPM," Operations Research, INFORMS, vol. 54(1), pages 184-197, February.
  11. Rustem, Berc & Becker, Robin G. & Marty, Wolfgang, 2000. "Robust min-max portfolio strategies for rival forecast and risk scenarios," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1591-1621, October.
  12. Bueler, Benno, 1997. "Solving an equilibrium model for trade of CO2 emission permits," European Journal of Operational Research, Elsevier, vol. 102(2), pages 393-403, October.
  13. G. Y. Zhao, 1999. "Interior-Point Methods with Decomposition for Solving Large-Scale Linear Programs," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 169-192, July.
  14. Fischer, I. & Gruber, G. & Rendl, F. & Sotirov, R., 2006. "Computational experience with a bundle approach for semidenfinite cutting plane relaxations of max-cut and equipartition," Other publications TiSEM 03dfd8c3-9216-4c75-8921-3, Tilburg University, School of Economics and Management.
  15. Frédéric Babonneau & Jean-Philippe Vial, 2008. "An Efficient Method to Compute Traffic Assignment Problems with Elastic Demands," Transportation Science, INFORMS, vol. 42(2), pages 249-260, May.
  16. P. Chardaire & A. Lisser, 2002. "Simplex and Interior Point Specialized Algorithms for Solving Nonoriented Multicommodity Flow Problems," Operations Research, INFORMS, vol. 50(2), pages 260-276, April.
  17. Attila Bernáth & Tamás Király & Erika Kovács & Gergely Mádi-Nagy & Gyula Pap & Júlia Pap & Jácint Szabó & László Végh, 2013. "Algorithms for multiplayer multicommodity flow problems," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(4), pages 699-712, December.
  18. Kurt Jörnsten & Andreas Klose, 2016. "An improved Lagrangian relaxation and dual ascent approach to facility location problems," Computational Management Science, Springer, vol. 13(3), pages 317-348, July.
  19. Alireza Hosseini & S. M. Hosseini, 2013. "A New Steepest Descent Differential Inclusion-Based Method for Solving General Nonsmooth Convex Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 159(3), pages 698-720, December.
  20. Gondzio, Jacek & González-Brevis, Pablo & Munari, Pedro, 2013. "New developments in the primal–dual column generation technique," European Journal of Operational Research, Elsevier, vol. 224(1), pages 41-51.
  21. Gondzio, J. & du Merle, O. & Sarkissian, R. & Vial, J. -P., 1996. "ACCPM -- A library for convex optimization based on an analytic center cutting plane method," European Journal of Operational Research, Elsevier, vol. 94(1), pages 206-211, October.
  22. Dulce Rosas & Jordi Castro & Lídia Montero, 2009. "Using ACCPM in a simplicial decomposition algorithm for the traffic assignment problem," Computational Optimization and Applications, Springer, vol. 44(2), pages 289-313, November.
  23. Klose, Andreas & Drexl, Andreas, 2001. "Lower bounds for the capacitated facility location problem based on column generation," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 544, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  24. Sebastian Kraul & Markus Seizinger & Jens O. Brunner, 2023. "Machine Learning–Supported Prediction of Dual Variables for the Cutting Stock Problem with an Application in Stabilized Column Generation," INFORMS Journal on Computing, INFORMS, vol. 35(3), pages 692-709, May.
  25. Manlio Gaudioso & Giovanni Giallombardo & Giovanna Miglionico, 2022. "Essentials of numerical nonsmooth optimization," Annals of Operations Research, Springer, vol. 314(1), pages 213-253, July.
  26. Laurent Drouet & Alain Haurie & Francesco Moresino & Jean-Philippe Vial & Marc Vielle & Laurent Viguier, 2008. "An oracle based method to compute a coupled equilibrium in a model of international climate policy," Computational Management Science, Springer, vol. 5(1), pages 119-140, February.
  27. J. L. Goffin & F. Sharifi-Mokhtarian, 1999. "Primal–Dual–Infeasible Newton Approach for the Analytic Center Deep-Cutting Plane Method," Journal of Optimization Theory and Applications, Springer, vol. 101(1), pages 35-58, April.
  28. Andreas Klose & Andreas Drexl, 2005. "Lower Bounds for the Capacitated Facility Location Problem Based on Column Generation," Management Science, INFORMS, vol. 51(11), pages 1689-1705, November.
  29. Klose, Andreas & Drexl, Andreas, 2001. "Combinatorial optimisation problems of the assignment type and a partitioning approach," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 545, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  30. Daniel Aloise & Pierre Hansen & Caroline Rocha & Éverton Santi, 2014. "Column generation bounds for numerical microaggregation," Journal of Global Optimization, Springer, vol. 60(2), pages 165-182, October.
  31. Elhedhli, Samir & Naoum-Sawaya, Joe, 2015. "Improved branching disjunctions for branch-and-bound: An analytic center approach," European Journal of Operational Research, Elsevier, vol. 247(1), pages 37-45.
  32. Manlio Gaudioso & Giovanni Giallombardo & Giovanna Miglionico, 2020. "Essentials of numerical nonsmooth optimization," 4OR, Springer, vol. 18(1), pages 1-47, March.
  33. A. Ouorou & P. Mahey & J.-Ph. Vial, 2000. "A Survey of Algorithms for Convex Multicommodity Flow Problems," Management Science, INFORMS, vol. 46(1), pages 126-147, January.
  34. Benno Bueeler & Socrates Kypreos, "undated". "Multiregional Markal-Macro: Introduction of CO Certificate Trade and Solution Concepts," Computing in Economics and Finance 1996 _011, Society for Computational Economics.
  35. Joe Naoum-Sawaya & Samir Elhedhli, 2013. "An interior-point Benders based branch-and-cut algorithm for mixed integer programs," Annals of Operations Research, Springer, vol. 210(1), pages 33-55, November.
  36. Mohammad R. Oskoorouchi & Jean-Louis Goffin, 2005. "An Interior Point Cutting Plane Method for the Convex Feasibility Problem with Second-Order Cone Inequalities," Mathematics of Operations Research, INFORMS, vol. 30(1), pages 127-149, February.
  37. C. Beltran-Royo & J.-P. Vial & A. Alonso-Ayuso, 2012. "Semi-Lagrangian relaxation applied to the uncapacitated facility location problem," Computational Optimization and Applications, Springer, vol. 51(1), pages 387-409, January.
  38. Haurie, A., 1995. "Time scale decomposition in production planning for unreliable flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 82(2), pages 339-358, April.
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