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Stochastic analysis of partitioning algorithms for matching problems

Part of: Limit theorems

Published online by Cambridge University Press:  14 July 2016

Ludger Rüschendorf  and
Gernot Sachs
Ludger Rüschendorf*
Affiliation:
University of Freiburg
Gernot Sachs*
Affiliation:
University of Freiburg
*
∗Postal address: Institut für Mathematische Stochastik, Universität Freiburg, Eckerstr. 1, D-79104 Freiburg, Germany
∗Postal address: Institut für Mathematische Stochastik, Universität Freiburg, Eckerstr. 1, D-79104 Freiburg, Germany
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Abstract

Partitioning algorithms for the Euclidean matching and for the semi-matching problem in the plane are introduced and analysed. The algorithms are analogues of Karp's well-known dissection algorithm for the travelling salesman problem. The algorithms are proved to run in time nlogn and to approximate the optimal matching in the probabilistic sense. The analysis is based on the techniques developed in Karp (1977) and on the limit theorem of Redmond and Yukich (1993) for quasiadditive functionals.

Keywords

Matching problempartitioning algorithmquasiadditive functional

MSC classification

Primary: 60F99: None of the above, but in this section
Type
Research Papers
Information
Journal of Applied Probability , Volume 37 , Issue 2 , June 2000 , pp. 494 - 503
Copyright
Copyright © by the Applied Probability Trust 2000 

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