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  • 1
    Electronic Resource
    Electronic Resource
    On the continuity of the maximum in parametric linear programming (1975)
    Springer
    Journal of optimization theory and applications 17 (1975), S. 205-210 
    Details
    ISSN: 1573-2878
    Keywords: Linear programming ; parametric linear programming ; semicontinuity ; operations research ; inequality theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For the widest class of parametric linear programs with continuous dependence of coefficients on parameters, the following theorem is proven: for any parameter vectort 0 in the domain of definition of the maximum, if the set of optimal solutions is bounded, then the maximum is upper semicontinuous att 0. If the same proviso is met also in the dual program, then the maximum must be continuous att 0.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933875
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