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Some theoretical implications of local optimization

Published: 01 December 1976 Publication History
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  • Abstract

    This paper presents some theoretical results concerning the effectiveness of an approximate technique, known as local optimization, as applied to a wide class of problems.
    First, conditions are described under which the technique ensures exact solutions. Then, in regard to cases in which these conditions cannot be met in practice, a method is presented for estimating the probability that the approximate (locally optimal) solution delivered by such a technique is in fact the exact (globally optimal) solution.
    This probability may be viewed as a possible criterion of effectiveness in the design of neighborhoods for specific local optimization algorithms.

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        Published In

        cover image Mathematical Programming: Series A and B
        Mathematical Programming: Series A and B  Volume 10, Issue 1
        December 1976
        410 pages

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        Springer-Verlag

        Berlin, Heidelberg

        Publication History

        Published: 01 December 1976

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