Introduction to algorithms
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Approximation schemes for minimum latency problems
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
An improved approximation ratio for the minimum latency problem
Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms
P-Complete Approximation Problems
Journal of the ACM (JACM)
A 2 + ε approximation algorithm for the k-MST problem
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
The vehicle routing problem
Algorithms for Capacitated Vehicle Routing
SIAM Journal on Computing
Faster approximation algorithms for the minimum latency problem
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
The Minimum Latency Problem Is NP-Hard for Weighted Trees
Proceedings of the 9th International IPCO Conference on Integer Programming and Combinatorial Optimization
Building Edge-Failure Resilient Networks
Proceedings of the 9th International IPCO Conference on Integer Programming and Combinatorial Optimization
A 3-approximation for the minimum tree spanning k vertices
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
Paths, Trees, and Minimum Latency Tours
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
Approximation algorithms for optimal decision trees and adaptive TSP problems
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming
IPCO'11 Proceedings of the 15th international conference on Integer programming and combinatoral optimization
Minimum latency submodular cover
ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part I
Physical search problems with probabilistic knowledge
Artificial Intelligence
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We consider the k-traveling repairmen problem, also known as the minimum latency problem, to multiple repairmen. We give a polynomial-time 8.497α-approximation algorithm for this generalization, where α denotes the best achievable approximation factor for the problem of finding the least-cost rooted tree spanning i vertices of a metric. For the latter problem, a (2 + ϵ)-approximation is known. Our results can be compared with the best-known approximation algorithm using similar techniques for the case k = 1, which is 3.59α. Moreover, recent work of Chaudry et al. [2003] shows how to remove the factor of α, thus improving all of these results by that factor. We are aware of no previous work on the approximability of the present problem. In addition, we give a simple proof of the 3.59α-approximation result that can be more easily extended to the case of multiple repairmen, and may be of independent interest.