On the Set of Feasible Coefficients in Interval LP

  • František Mráz
Conference paper
Part of the Operations Research Proceedings book series (ORP, volume 1997)

Abstract

Consider a system of linear equations
$$ Ax = b. $$
(1)
.

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References

  1. [1]
    Grygarová, L.: Die Lösbarkeit eines linearen Optimierungsproblems unter Zufügung einer weiteren Restriktionsbedingung. Aplikace matematiky 17, 352–387 (1972).Google Scholar
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    Klatte, D.: Lineare Optimierungsprobleme mit Parametern in der Koeffizientenmatrix der Restriktionen. In: Lommatzsch, K.: Anwendung der linearen parametrischen Optimierung. Akademie-Verlag Berlin, 23–53, (1979).Google Scholar
  3. [3]
    Mráz, F.: Nonnegative Solutions of Interval Linear Systems. In: Computer Arithmetic and Enclosure Methods, L. Atanassova and J. Herzberger (Ed.), Elsevier, Amsterdam, 299–308 (1992).Google Scholar
  4. [4]
    Mráz, F., Kabele V.: Investigation of Linear Programs and their Feasible Solutions under Uncertainty. Report Series 9, University of South Bohemia, Dept. of Math., 71–82 (1993).Google Scholar
  5. [5]
    Rohn, J.: Radii of Feasibility and Optimality for Linear Programming Problems. Given in seminar, not published yet.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • František Mráz
    • 1
  1. 1.University of South BohemiaČeské BudějoviceCzech republic

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