ACM Home Page
Please provide us with feedback. Feedback
An 8/13-approximation algorithm for the asymmetric maximum TSP
Full text PdfPdf (1.04 MB)
Source Symposium on Discrete Algorithms archive
Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms table of contents
San Francisco, California
Pages: 64 - 73  
Year of Publication: 2002
ISBN:0-89871-513-X
Author
Markus Bläser  Med. Universität zu Lübeck, Wallstr. 40, 23560 Lübeck, Germany
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
Society for Industrial and Applied Mathematics  Philadelphia, PA, USA
Bibliometrics
Downloads (6 Weeks): 4,   Downloads (12 Months): 31,   Citation Count: 1
Additional Information:

abstract   references   cited by   collaborative colleagues  

Tools and Actions: Review this Article  

ABSTRACT

We present a polynomial time approximation algorithm for the asymmetric maximum traveling salesperson problem that achieves performance ratio 8/13(1 - 1/n). The running time of our algorithm is O(n3).


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
 
2
 
3
 
4
5
 
6
 
7
 
8
N. Christofides. Worst-case analysis of a new heuristic for the travelling salesman problem. In J. F. Traub, editor, Algorithms and Complexity: New Directions and Recent Results, page 441. Academic Press, 1976.
 
9
 
10
M. L. Fisher, L. Nemhauser, and L. A. Wolsey. An analysis of approximations for finding a maximum weight Hamiltonian circuit. Networks, 12(1):799-809, 1979.
 
11
A. M. Frieze, G. Galbiati, and F. Maffioli. On the worst-case performance of some algorithms for the asymmetric traveling salesman problem. Networks, 12(1):23-39, 1982.
 
12
 
13
 
14
 
15
S. R. Kosaraju, J. K. Park, and C. Stein. Long tours and short superstrings. In Proc. 35th Ann. IEEE Symp. on Foundations of Comput. Sci. (FOCS), 1994.
 
16
A. V. Kostochka and A. I. Serdyukov. Polynomial algorithms with the estimates 3/4 and 5/6 for the traveling salesman problem of the maximum. Upravlyaemye Sistemy, 26:55-59, 1985. (in Russian).
 
17
E. L. Lawler, J. K. Lenstra, A. H. G. R. Kan, and D. B. Shmoys, editors. The Traveling Salesman Problem. Wiley, 1985.
 
18
 
19
A. I. Serdyukov. An algorithm with an estimate for the traveling salesman problem of the maximum. Upravlyaemye Sistemy, 25:80-86, 1984. (in Russian).
 
20
 
21
 
22