Computing

, Volume 31, Issue 4, pp 287–303 | Cite as

The asymptotic behaviour of a distributive sorting method

  • W. B. van Dam
  • J. B. G. Frenk
  • A. H. G. Rinnooy Kan
Article

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.

AMS Subject Classifications

68 E 05 

Key words

Sorting probabilistic analysis 

Zum asymptotischen Verhalten eines distributiven Suchverfahrens

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.

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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • W. B. van Dam
    • 1
  • J. B. G. Frenk
    • 2
  • A. H. G. Rinnooy Kan
    • 3
  1. 1.Department of Industrial Engineering and Management ScienceEindhoven University of TechnologyEindhovenThe Netherlands
  2. 2.Department of Industrial Engineering and Operations ResearchUniversity of CaliforniaBerkeleyUSA
  3. 3.Econometric InstituteErasmus University RotterdamRotterdamThe Netherlands

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