Abstract
Let X1, X2,… be i.i.d. random points in R2 with distribution v, and let Ln be the length of the shortest path through X1,…, Xn. The exact almost sure rate of growth of Ln, is obtained under the assumption that v is self-similar in an appropriate sense. This extends a well-known theorem of Beardwood, Halton, and Hammersley.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
10 articles.
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