Service-constrained network design problems

  • Authors:
  • Madhav V. Marathe;R. Ravi;Ravi Sundaram

  • Affiliations:
  • Los Alamos National Laboratory, P.O. Box 1663 MS B265, Los Alamos NM;Graduate School of Industrial Administration, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA;Delta Global Trading L. P., Four Cambridge Center, Cambridge MA

  • Venue:
  • Nordic Journal of Computing
  • Year:
  • 1996

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Abstract

Several practical instances of network design problems often require the network to satisfy multiple constraints. In this paper, we focus on the following problem (and its variants): find a low-cost network, under one cost function, that services every node in the graph, under another cost function, (i.e., every node of the graph is Within a prespecified distance from the network). Such problems find applications in optical network design and the efficient maintenance of distributed databases.We utilize the framework developed in Marathe et al. [1995] co formulate these problems as bicriteria network design problems, and present approximation algorithms for a class of service-constrained network design problems. We also present lower bounds on the approximability of these problems that demonstrate that our performance ratios are close to best possible.