Competitive algorithms for maintaining a mobile center

Sergey Bereg, Binay Bhattacharya, David Kirkpatrick, Michael Segal

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this paper we investigate the problem of locating a mobile facility at (or near) the center of a set of clients that move independently, continuously, and with bounded velocity. It is shown that the Euclidean 1-center of the clients may move with arbitrarily high velocity relative to the maximum client velocity. This motivates the search for strategies for moving a facility so as to closely approximate the Euclidean 1-center while guaranteeing low (relative) velocity. We present lower bounds and efficient competitive algorithms for the exact and approximate maintenance of the Euclidean 1-center for a set of moving points in the plane. These results serve to accurately quantify the intrinsic velocity approximation quality tradeoff associated with the maintenance of the mobile Euclidean 1-center.

Original languageEnglish
Pages (from-to)177-186
Number of pages10
JournalMobile Networks and Applications
Volume11
Issue number2
DOIs
StatePublished - 1 Apr 2006

Keywords

  • Approximation algorithms
  • Facility location
  • Online strategies

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