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On the Set of Feasible Coefficients in Interval LP

  • Conference paper
Operations Research Proceedings 1997

Part of the book series: Operations Research Proceedings ((ORP,volume 1997))

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Abstract

Consider a system of linear equations

$$ Ax = b. $$
((1))

.

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References

  1. Grygarová, L.: Die Lösbarkeit eines linearen Optimierungsproblems unter Zufügung einer weiteren Restriktionsbedingung. Aplikace matematiky 17, 352–387 (1972).

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  2. 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).

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  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).

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  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).

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  5. Rohn, J.: Radii of Feasibility and Optimality for Linear Programming Problems. Given in seminar, not published yet.

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© 1998 Springer-Verlag Berlin Heidelberg

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Mráz, F. (1998). On the Set of Feasible Coefficients in Interval LP. In: Operations Research Proceedings 1997. Operations Research Proceedings, vol 1997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58891-4_4

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  • DOI: https://doi.org/10.1007/978-3-642-58891-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64240-4

  • Online ISBN: 978-3-642-58891-4

  • eBook Packages: Springer Book Archive

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