Paths, Trees, and Minimum Latency Tours

  • Kamalika Chaudhuri ,
  • Brighten Godfrey ,
  • Satish Rao ,
  • Kunal Talwar

FOCS '03: Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science |

Published by IEEE

We give improved approximation algorithms for a variety of latency minimization problems. In particular, we give a 3.591-approximation to the minimum latency problem, improving on previous algorithms by a multiplicative factor of 2. Our techniques also give similar improvements for related problems like k-traveling repairmen and its multiple depot variant. We also observe that standard techniques can be used to speed up the previous and this algorithm by a factor of ~O(n).