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New finite pivoting rules for the simplex method

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  • BLAND, Robert G.

Abstract

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Suggested Citation

  • BLAND, Robert G., 1977. "New finite pivoting rules for the simplex method," LIDAM Reprints CORE 315, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:315
    Note: In : Mathematics of Operations Research, 2(2), 103-107, 1977
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    Citations

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    Cited by:

    1. Adrienn Csizmadia & Zsolt Csizmadia & Tibor Illés, 2018. "Finiteness of the quadratic primal simplex method when s-monotone index selection rules are applied," 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. 26(3), pages 535-550, September.
    2. Pan, Ping-Qi, 2008. "A largest-distance pivot rule for the simplex algorithm," European Journal of Operational Research, Elsevier, vol. 187(2), pages 393-402, June.
    3. Magnanti, Thomas L. & Orlin, James B., 1953-., 1985. "Parametric linear programming and anti-cycling pivoting rules," Working papers 1730-85., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    4. Im, Haesol & Wolkowicz, Henry, 2023. "Revisiting degeneracy, strict feasibility, stability, in linear programming," European Journal of Operational Research, Elsevier, vol. 310(2), pages 495-510.
    5. Omer, Jérémy & Soumis, François, 2015. "A linear programming decomposition focusing on the span of the nondegenerate columns," European Journal of Operational Research, Elsevier, vol. 245(2), pages 371-383.
    6. Liu, Yanwu & Tu, Yan & Zhang, Zhongzhen, 2021. "The row pivoting method for linear programming," Omega, Elsevier, vol. 100(C).
    7. John W. Mamer & Richard D. McBride, 2000. "A Decomposition-Based Pricing Procedure for Large-Scale Linear Programs: An Application to the Linear Multicommodity Flow Problem," Management Science, INFORMS, vol. 46(5), pages 693-709, May.
    8. P. M. Dearing & Pietro Belotti & Andrea M. Smith, 2016. "A primal algorithm for the weighted minimum covering ball problem in $$\mathbb {R}^n$$ R n," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(2), pages 466-492, July.
    9. Osman Ou{g}uz, 2002. "Generalized Column Generation for Linear Programming," Management Science, INFORMS, vol. 48(3), pages 444-452, March.
    10. Issmail Elhallaoui & Abdelmoutalib Metrane & Guy Desaulniers & François Soumis, 2011. "An Improved Primal Simplex Algorithm for Degenerate Linear Programs," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 569-577, November.
    11. Fabio Vitor & Todd Easton, 2018. "The double pivot simplex method," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(1), pages 109-137, February.
    12. Csizmadia, Zsolt & Illés, Tibor & Nagy, Adrienn, 2012. "The s-monotone index selection rules for pivot algorithms of linear programming," European Journal of Operational Research, Elsevier, vol. 221(3), pages 491-500.
    13. Jean Bertrand Gauthier & Jacques Desrosiers & Marco E. Lübbecke, 2016. "Tools for primal degenerate linear programs: IPS, DCA, and PE," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 5(2), pages 161-204, June.
    14. Zhang, Shuzhong, 1999. "New variants of finite criss-cross pivot algorithms for linear programming," European Journal of Operational Research, Elsevier, vol. 116(3), pages 607-614, August.
    15. K. O. Kortanek & Zhu Jishan, 1988. "New purification algorithms for linear programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(4), pages 571-583, August.
    16. Xiaoyin Hu & Jianshu Li & Xiaoya Li & Jinchuan Cui, 2020. "A Revised Inverse Data Envelopment Analysis Model Based on Radial Models," Mathematics, MDPI, vol. 8(5), pages 1-17, May.
    17. Filippi, Carlo & Romanin-Jacur, Giorgio, 2002. "Multiparametric demand transportation problem," European Journal of Operational Research, Elsevier, vol. 139(2), pages 206-219, June.
    18. Konstantinos Paparrizos & Nikolaos Samaras & Angelo Sifaleras, 2015. "Exterior point simplex-type algorithms for linear and network optimization problems," Annals of Operations Research, Springer, vol. 229(1), pages 607-633, June.
    19. Illes, Tibor & Terlaky, Tamas, 2002. "Pivot versus interior point methods: Pros and cons," European Journal of Operational Research, Elsevier, vol. 140(2), pages 170-190, July.
    20. Michael J. Best & Xili Zhang, 2011. "Degeneracy Resolution for Bilinear Utility Functions," Journal of Optimization Theory and Applications, Springer, vol. 150(3), pages 615-634, September.

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