TY - GEN
T1 - Improved algorithms for orienteering and related problems
AU - Chekuri, Chandra
AU - Korula, Nitish
AU - Pal, Martin
PY - 2008
Y1 - 2008
N2 - In this paper we consider the orienteering problem in undirected and directed graphs and obtain improved approximation algorithms. The point to point-orienteering-problem is the following: Given an edge-weighted graph G = (V, E) (directed or undirected), two nodes s,t ∈V and a budget B, find an s-t walk in G of total length at most B that maximizes the number of distinct nodes visited by the walk. This problem is closely related to tour problems such as TSP as well as network design problems such as k-MST. Our main results are the following. • A 2 + ∈ approximation in undirected graphs, improving upon the 3-approximation from [6]. • An O(log 2 OPT) approximation in directed graphs. Previously, only a quasi-polynomial time algorithm achieved a poly-logarithmic approximation [14] (a ratio of O(log OPT)). The above results are based on, or lead to, improved algorithms for several other related problems.
AB - In this paper we consider the orienteering problem in undirected and directed graphs and obtain improved approximation algorithms. The point to point-orienteering-problem is the following: Given an edge-weighted graph G = (V, E) (directed or undirected), two nodes s,t ∈V and a budget B, find an s-t walk in G of total length at most B that maximizes the number of distinct nodes visited by the walk. This problem is closely related to tour problems such as TSP as well as network design problems such as k-MST. Our main results are the following. • A 2 + ∈ approximation in undirected graphs, improving upon the 3-approximation from [6]. • An O(log 2 OPT) approximation in directed graphs. Previously, only a quasi-polynomial time algorithm achieved a poly-logarithmic approximation [14] (a ratio of O(log OPT)). The above results are based on, or lead to, improved algorithms for several other related problems.
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M3 - Conference contribution
AN - SCOPUS:58649112596
SN - 9780898716474
T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
SP - 661
EP - 670
BT - Proceedings of the 19th Annual ACM-SIAM Symposium on Discrete Algorithms
T2 - 19th Annual ACM-SIAM Symposium on Discrete Algorithms
Y2 - 20 January 2008 through 22 January 2008
ER -