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A Strongly Polynomial Algorithm to Solve Combinatorial Linear Programs

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Cited by:

  1. Amitai Armon & Iftah Gamzu & Danny Segev, 2014. "Mobile facility location: combinatorial filtering via weighted occupancy," Journal of Combinatorial Optimization, Springer, vol. 28(2), pages 358-375, August.
  2. Ting Pong & Hao Sun & Ningchuan Wang & Henry Wolkowicz, 2016. "Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem," Computational Optimization and Applications, Springer, vol. 63(2), pages 333-364, March.
  3. Mao-Cheng Cai & Xiaoguang Yang & Yanjun Li, 1999. "Inverse Polymatroidal Flow Problem," Journal of Combinatorial Optimization, Springer, vol. 3(1), pages 115-126, July.
  4. K L Poh & K W Choo & C G Wong, 2005. "A heuristic approach to the multi-period multi-commodity transportation problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 708-718, June.
  5. D. V. Gribanov & D. S. Malyshev & P. M. Pardalos & S. I. Veselov, 2018. "FPT-algorithms for some problems related to integer programming," Journal of Combinatorial Optimization, Springer, vol. 35(4), pages 1128-1146, May.
  6. M. Cai & X. Yang & Y. Li, 2000. "Inverse Problems of Submodular Functions on Digraphs," Journal of Optimization Theory and Applications, Springer, vol. 104(3), pages 559-575, March.
  7. Orlin, James B., 1953-., 1988. "A faster strongly polynomial minimum cost flow algorithm," Working papers 2042-88., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  8. Balaji Gopalakrishnan & Seunghyun Kong & Earl Barnes & Ellis Johnson & Joel Sokol, 2011. "A least-squares minimum-cost network flow algorithm," Annals of Operations Research, Springer, vol. 186(1), pages 119-140, June.
  9. Orlin, James B., 1953-, 1995. "A polynomial time primal network simplex algorithm for minimum cost flows," Working papers 3834-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  10. Sonia Puri & M. Puri, 2006. "Max-min sum minimization transportation problem," Annals of Operations Research, Springer, vol. 143(1), pages 265-275, March.
  11. Cai Mao-Cheng & Yanjun Li, 1997. "Inverse Matroid Intersection Problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(2), pages 235-243, June.
  12. Puerto, Justo & Tamir, Arie & Perea, Federico, 2011. "A cooperative location game based on the 1-center location problem," European Journal of Operational Research, Elsevier, vol. 214(2), pages 317-330, October.
  13. Orlin, James B., 1953-., 1985. "A dual version of Tardos's algorithm for linear programming," Working papers 1686-85., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  14. Steffen Borgwardt & Stephan Patterson, 2021. "On the computational complexity of finding a sparse Wasserstein barycenter," Journal of Combinatorial Optimization, Springer, vol. 41(3), pages 736-761, April.
  15. Huang, Siming & Liu, Zhenhong, 1999. "On the inverse problem of linear programming and its application to minimum weight perfect k-matching," European Journal of Operational Research, Elsevier, vol. 112(2), pages 421-426, January.
  16. Meer, K. & Weber, G. W., 2002. "Some aspects of studying an optimization or decision problem in different computational models," European Journal of Operational Research, Elsevier, vol. 143(2), pages 406-418, December.
  17. Ravindra K. Ahuja & James B. Orlin & Giovanni M. Sechi & Paola Zuddas, 1999. "Algorithms for the Simple Equal Flow Problem," Management Science, INFORMS, vol. 45(10), pages 1440-1455, October.
  18. Cai Mao-Cheng, 1999. "Inverse Problems of Matroid Intersection," Journal of Combinatorial Optimization, Springer, vol. 3(4), pages 465-474, December.
  19. Amitabh Basu & Jesús A. De Loera & Mark Junod, 2014. "On Chubanov's Method for Linear Programming," INFORMS Journal on Computing, INFORMS, vol. 26(2), pages 336-350, May.
  20. Guy Even & Alexander Zadorojniy, 2012. "Strong polynomiality of the Gass-Saaty shadow-vertex pivoting rule for controlled random walks," Annals of Operations Research, Springer, vol. 201(1), pages 159-167, December.
  21. Yuriy Zinchenko & Alexandru V. Asimit, 2023. "Modeling Risk for CVaR-Based Decisions in Risk Aggregation," JRFM, MDPI, vol. 16(5), pages 1-22, May.
  22. R. B. Bapat & S. K. Neogy, 2016. "On a quadratic programming problem involving distances in trees," Annals of Operations Research, Springer, vol. 243(1), pages 365-373, August.
  23. Dipti Dubey & S. K. Neogy, 2020. "On solving a non-convex quadratic programming problem involving resistance distances in graphs," Annals of Operations Research, Springer, vol. 287(2), pages 643-651, April.
  24. Hiroshi Hirai, 2014. "The Maximum Multiflow Problems with Bounded Fractionality," Mathematics of Operations Research, INFORMS, vol. 39(1), pages 60-104, February.
  25. Hochbaum, Dorit S., 2002. "Solving integer programs over monotone inequalities in three variables: A framework for half integrality and good approximations," European Journal of Operational Research, Elsevier, vol. 140(2), pages 291-321, July.
  26. Dorit Hochbaum, 2007. "Complexity and algorithms for nonlinear optimization problems," Annals of Operations Research, Springer, vol. 153(1), pages 257-296, September.
  27. Tu, Ta Van, 2000. "Optimization over the efficient set of a parametric multiple objective linear programming problem," European Journal of Operational Research, Elsevier, vol. 122(3), pages 570-583, May.
  28. Jianzhong Zhang & Mao Cai, 1998. "Inverse problem of minimum cuts," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(1), pages 51-58, February.
  29. Prabhjot Kaur & Anuj Sharma & Vanita Verma & Kalpana Dahiya, 2022. "An alternate approach to solve two-level hierarchical time minimization transportation problem," 4OR, Springer, vol. 20(1), pages 23-61, March.
  30. Agnes Cseh & Jannik Matuschke, 2018. "New and simple algorithms for stable flow problems," CERS-IE WORKING PAPERS 1817, Institute of Economics, Centre for Economic and Regional Studies.
  31. László A. Végh, 2017. "A Strongly Polynomial Algorithm for Generalized Flow Maximization," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 179-211, January.
  32. Steffen Borgwardt, 2022. "An LP-based, strongly-polynomial 2-approximation algorithm for sparse Wasserstein barycenters," Operational Research, Springer, vol. 22(2), pages 1511-1551, April.
  33. Clemens Heuberger, 2004. "Inverse Combinatorial Optimization: A Survey on Problems, Methods, and Results," Journal of Combinatorial Optimization, Springer, vol. 8(3), pages 329-361, September.
  34. R. Chandrasekaran & Young U. Ryu & Varghese S. Jacob & Sungchul Hong, 2005. "Isotonic Separation," INFORMS Journal on Computing, INFORMS, vol. 17(4), pages 462-474, November.
  35. Paulo Oliveira, 2014. "A strongly polynomial-time algorithm for the strict homogeneous linear-inequality feasibility problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(3), pages 267-284, December.
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