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Finding Better Starting Bases for the Simplex Method

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Operations Research Proceedings 1995

Part of the book series: Operations Research Proceedings ((ORP,volume 1995))

Abstract

In the last two decades a number of algorithmic units of the simplex method have undergone repeated revisions with a view to improving the computational performance of the simplex based solvers. This research has lead to considerable progress such that the state-of-the-art solvers are approximately two orders of magnitude faster than their predecessors in the’70s.

This project was partly supported by DTI industrial research contract No. IED3/45/91/021.

This author was supported in part by Hungarian Research Fund OTKA 2587.

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References

  1. Bixby, R. E., “Implementing the Simplex Method: The Initial Basis”, ORS A Journal on Computing, Vol. 4, No. 3, Summer, 1992, p. 267–284.

    Article  Google Scholar 

  2. Carstens, D.M., “Crashing Techniques”, in: Orchard-Hays, W., Advanced Linear-Programming Computing Techniques, McGraw-Hill, 1968, pp. 131–139.

    Google Scholar 

  3. Ellison, E. F. D., Hajian, M., Levkovitz, R., Maros, L, Mitra, G., Sayers, D., FortMP Manual, Brunel, The University of West London, and NAG Ltd., Oxford, May 1994.

    Google Scholar 

  4. Gay, D.M., “Electronic mail distribution of linear programming test problems”, Mathematical Programming Society COAL Newsletter, 13(1985), p. 10–12.

    Google Scholar 

  5. Gould, N.I.M., Reid, J.K., “New crash procedures for large systems of linear constraints”, Mathematical Programming, 45 (1989), p. 475–501.

    Article  Google Scholar 

  6. Maros, I., “MILP Linear Programming System, User’s Guide for Version V3.40”, Computer and Automation Institute (MTA SZTAKI), Budapest, Hungary, January, 1990.

    Google Scholar 

  7. Maros, I., Mitra, G., “Simplex Algorithms”, TR/12/95, Department of Mathematics and Statistics, Brunel University, West London, June 1995

    Google Scholar 

  8. also to appear as a chapter in J. Beasley (Ed.), Advances in Linear and Integer Programming, Oxford University Press.

    Google Scholar 

  9. Murtagh, B.A., Saunders, M., “MINOS 5.1 User’s Guide”, Technical Report, SOL 83–20R, Stanford University, Stanford, California, 1987.

    Google Scholar 

  10. Orchard-Hays, W., Advanced Linear-Programming Computing Techniques, McGraw-Hill, 1968.

    Google Scholar 

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© 1996 Springer-Verlag Berlin Heidelberg

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Maros, I., Mitra, G. (1996). Finding Better Starting Bases for the Simplex Method. In: Kleinschmidt, P., Bachem, A., Derigs, U., Fischer, D., Leopold-Wildburger, U., Möhring, R. (eds) Operations Research Proceedings 1995. Operations Research Proceedings, vol 1995. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80117-4_2

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  • DOI: https://doi.org/10.1007/978-3-642-80117-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60806-6

  • Online ISBN: 978-3-642-80117-4

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