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The Minimum Latency Problem Is NP-Hard for Weighted Trees

  • René Sitters
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2337)

Abstract

In the minimum latency problem (MLP) we are given n points v 1,..., v n and a distance d(v i,v j) between any pair of points. We have to find a tour, starting at v 1 and visiting all points, for which the sum of arrival times is minimal. The arrival time at a point v i is the traveled distance from v 1 to v i in the tour. The minimum latency problem is MAX-SNP-hard for general metric spaces, but the complexity for the problem where the metric is given by an edge-weighted tree has been a long-standing open problem. We show that the minimum latency problem is NP-hard for trees even with weights in {0,1}.

Keywords

Completion Time Travel Salesman Problem Competitive Ratio Total Completion Time Weighted Tree 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • René Sitters
    • 1
  1. 1.Department of Mathematics and Computer ScienceTechnische Universiteit EindhovenEindhovenThe Netherlands

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