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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 22 (1982), S. 125-140 
    ISSN: 1436-4646
    Keywords: Stochastic Methods ; Global Optimization ; Clustering ; Confidence Interval
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract A stochastic method for global optimization is described and evaluated. The method involves a combination of sampling, clustering and local search, and terminates with a range of confidence intervals on the value of the global optimum. Computational results on standard test functions are included as well.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Computing 31 (1983), S. 287-303 
    ISSN: 1436-5057
    Keywords: 68 E 05 ; Sorting ; probabilistic analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Bei dem distributiven Sortierverfahren von Dobosiewicz wird sowohl das Intervall zwischen Minimum und Median als auch das Intervall zwischen Median und Maximum inn/2 Teilintervalle gleicher Länge zerlegt; die Prozedur wird dann rekursiv in jedem, mindestens vier Zahlen enthaltenden Teilintervall angesetzt. In dieser Arbeit werden einige Aspekte des Verfahrens verfeinert und erweitert. Insbesondere wird das asymptotisch lineare Verhalten unter verschiedene Wahrscheinlichkeits-Annahmen untersucht.
    Notes: Abstract In the distributive sorting method of Dobosiewicz, both the interval between the minimum and the median of the numbers to be sorted and the interval between the median and the maximum are partitioned inton/2 subintervals of equal length; the procedure is then applied recursively on each subinterval containing more than three numbers. We refine and extend previous analyses of this method, e.g., by establishing its asymptotic linear behaviour under various probabilistic assumptions.
    Type of Medium: Electronic Resource
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