Budget Constrained Minimum Cost Connected Medians

  • Goran Konjevod
  • Sven O. Krumke
  • Madhav Marathe
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1928)


Several practical instances of network design problems require the network to satisfy multiple constraints. In this paper, we address the Budget Constrained Connected Median Problem: We are given an undirected graph G = (V,E) with two different edge-weight functions c (modeling the construction or communication cost) and d (modeling the service distance), and a bound B on the total service distance. The goal is to find a subtree T of G with minimum c-cost c(T) subject to the constraint that the sum of the service distances of all the remaining nodes vV T to their closest neighbor in T does not exceed the speci- fied budget B. This problem has applications in optical network design and the efficient maintenance of distributed databases.

We formulate this problem as bicriteria network design problem, and present bicriteria approximation algorithms. We also prove lower bounds on the approximability of the problem that demonstrate that our performance ratios are close to best possible.


Approximation Algorithm Bipartite Graph Integer Linear Program Network Design Problem Travel Salesperson Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Goran Konjevod
    • 1
  • Sven O. Krumke
    • 2
  • Madhav Marathe
    • 3
  1. 1.Department of Mathematical Sciencesand Los Alamos National LaboratoryCarnegie Mellon UniversityPittsburghUSA
  2. 2.Department OptimizationKonrad-Zuse-Zentrum für Informationstechnik BerlinBerlin-DahlemGermany
  3. 3.Los Alamos National LaboratoryUSA

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