Competitive Algorithms for Maintaining a Mobile Center
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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.
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- Competitive Algorithms for Maintaining a Mobile Center
Mobile Networks and Applications
Volume 11, Issue 2 , pp 177-186
- Cover Date
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- Kluwer Academic Publishers
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- approximation algorithms
- facility location
- online strategies
- Industry Sectors
- Author Affiliations
- 1. Department of Computer Science, University of Texas at Dallas, Richardson, TX, 75083, USA
- 2. School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada, V5A 1S6
- 3. Department of Computer Science, University of British Columbia, Vancouver, B.C., Canada, V6T 1Z4
- 4. Communication Systems Engineering Department, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel