Interior-Point Methods with Decomposition for Solving Large-Scale Linear Programs
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DOI: 10.1023/A:1021850714072
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- Shinji Mizuno & Michael J. Todd & Yinyu Ye, 1993. "On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 964-981, November.
- John R. Birge & Liqun Qi, 1988. "Computing Block-Angular Karmarkar Projections with Applications to Stochastic Programming," Management Science, INFORMS, vol. 34(12), pages 1472-1479, December.
- J. L. Goffin & A. Haurie & J. P. Vial, 1992. "Decomposition and Nondifferentiable Optimization with the Projective Algorithm," Management Science, INFORMS, vol. 38(2), pages 284-302, February.
- Roy Marsten & Radhika Subramanian & Matthew Saltzman & Irvin Lustig & David Shanno, 1990. "Interior Point Methods for Linear Programming: Just Call Newton, Lagrange, and Fiacco and McCormick!," Interfaces, INFORMS, vol. 20(4), pages 105-116, August.
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- Kuang-Yu Ding & Xin-Yee Lam & Kim-Chuan Toh, 2023. "On proximal augmented Lagrangian based decomposition methods for dual block-angular convex composite programming problems," Computational Optimization and Applications, Springer, vol. 86(1), pages 117-161, September.
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Keywords
Large-scale linear programming; interior-point methods; Dantzig–Wolfe decomposition; algorithmic complexity;All these keywords.
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