The special case of the Euclidean traveling salesman problem, where the n given points lie on a small number (N) of parallel lines in the plane, is solved by a dynamic programming approach in time nN, for fixed N, i.e., in polynomial time. This extends a result of Cutler (1980) for three lines. Such
✦ LIBER ✦
The Convex-hull-and-k-line Travelling Salesman Problem
✍ Scribed by Vladimir G. Deĭneko; Gerhard J. Woeginger
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 651 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The n-line traveling salesman problem
✍
Günter Rote
📂
Article
📅
1992
🏛
John Wiley and Sons
🌐
English
⚖ 780 KB
The traveling salesman problem with deli
✍
Shoshana Anily; Gur Mosheiov
📂
Article
📅
1994
🏛
Elsevier Science
🌐
English
⚖ 541 KB
Properties of the trajectories of the ap
✍
S.P. Tarasov
📂
Article
📅
1981
🏛
Elsevier Science
⚖ 740 KB
Efficient special case algorithms for th
✍
M. Cutler
📂
Article
📅
1980
🏛
John Wiley and Sons
🌐
English
⚖ 482 KB
## Abstract The traveling salesman problem, path, or cycle is NP‐complete. All known exact solutions to this problem are exponential. In the __N‐line planar__ traveling salesman problem the points are on __N__ lines in the plane. In this paper, simple and efficient low‐degree polynomial solutions a
Quantizers and the worst-case Euclidean
✍
Luis A. Goddyn
📂
Article
📅
1990
🏛
Elsevier Science
🌐
English
⚖ 888 KB
Heuristics and bounds for the travelling
✍
D Simchi-Levi; O Berman
📂
Article
📅
1987
🏛
Elsevier Science
🌐
English
⚖ 540 KB