Skip to main content
Log in

Efficiency of the dual simplex method for solving systems of linear inequalities

  • Published:
Cybernetics Aims and scope

Abstract

The method of simplex Chebyshev centers is proposed. This method is identical to a special form of the dual simplex method. Analysis of the method in the initial, untransformed space leads to sufficient conditions of its applicability.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature Cited

  1. A. Yu. Levin, “On one algorithm for minimization of convex functions,” Dokl. Akad. Nauk SSSR,160, No. 6, 1244–1247 (1965).

    Google Scholar 

  2. M. E. Primak, “On the convergence of the Chebyshev center method and the centered section method for the solution of the convex programming problem,” Dokl. Akad. Nauk SSSR,222, No. 2, 273–276 (1975).

    Google Scholar 

  3. D. B. Yudin and A. S. Nemirovskii, “Informational complexity and efficient methods of solution of convex extremal problems,” Ékonomika Mat. Metody, No. 2, 357–369 (1976).

    Google Scholar 

  4. A. S. Nemirovskii and D. B. Yudin, Complexity of Problems and Efficiency of Optimization Methods [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  5. I. A. Aleksandrov, E. G. Antsiferov, and V. P. Bulatov, Centered Section Methods in Convex Programming [in Russian], Preprint No. 5, SO AN SSSR, Sib. Énerg. Inst., Irkutsk (1983).

    Google Scholar 

Download references

Authors

Additional information

Translated from Kibernetika, No. 2, pp. 1–4, March–April, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nenakhov, É.I., Primak, M.E. Efficiency of the dual simplex method for solving systems of linear inequalities. Cybern Syst Anal 25, 127–131 (1989). https://doi.org/10.1007/BF01070120

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01070120

Keywords

Navigation