An $O ( ( n\log p )^2 )$ Algorithm for the Continuous p -Center Problem on a Tree

This paper considers the problem of locating $p$ facilities on a tree network in order to minimize the maximum of the distances of the points on the network to their respective nearest facilities. An $O ( ( n\log p )^2 )$ algorithm for a tree network with $n$ nodes is presented.

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Published inSIAM journal on algebraic and discrete methods Vol. 1; no. 4; pp. 370 - 375
Main Authors Chandrasekaran, R., Tamir, A.
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.12.1980
Subjects
Algorithms
Neighborhoods
Online AccessGet full text
ISSN0196-5212
0895-4798
2168-345X
1095-7162
DOI10.1137/0601043

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Abstract This paper considers the problem of locating $p$ facilities on a tree network in order to minimize the maximum of the distances of the points on the network to their respective nearest facilities. An $O ( ( n\log p )^2 )$ algorithm for a tree network with $n$ nodes is presented.
AbstractList This paper considers the problem of locating $p$ facilities on a tree network in order to minimize the maximum of the distances of the points on the network to their respective nearest facilities. An $O ( ( n\log p )^2 )$ algorithm for a tree network with $n$ nodes is presented.
Author Chandrasekaran, R.
Tamir, A.
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Cites_doi 10.1137/0207013
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10.1145/322108.322114
10.1016/S0022-0000(73)80033-9
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10.1287/trsc.7.3.287
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Title An $O ( ( n\log p )^2 )$ Algorithm for the Continuous p -Center Problem on a Tree
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