Joint distributions for total lengths of shortest-path trees in telecommunication networks View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2015-06

AUTHORS

David Neuhäuser, Christian Hirsch, Catherine Gloaguen, Volker Schmidt

ABSTRACT

Shortest-path trees play an important role in the field of optimising fixed-access telecommunication networks with respect to costs and capacities. Distributional properties of the corresponding two half-trees originating from the root of such a tree are of special interest for engineers. In the present paper, we derive parametric approximation formulas for the marginal density functions of the total lengths of both half-trees. Besides, a parametric copula is used in order to combine the marginal distributions of these functionals to a bivariate joint distribution as, naturally, the total lengths of the half-trees are not independent random variables. Asymptotic results for infinitely sparse and infinitely dense networks are discussed as well. More... »

PAGES

221-232

References to SciGraph publications

Journal

TITLE

Annals of Telecommunications

ISSUE

5-6

VOLUME

70

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s12243-014-0440-9

DOI

http://dx.doi.org/10.1007/s12243-014-0440-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027527745


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