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| Content Provider | Society for Industrial and Applied Mathematics (SIAM) |
|---|---|
| Author | Sviridenko, Maxim Lewenstein, Moshe |
| Copyright Year | 2003 |
| Abstract | The maximum asymmetric traveling salesperson problem, also known as the taxicab rip-off problem, is the problem of finding a maximally weighted tour in a complete asymmetric graph with nonnegative weights.We propose a polynomial time approximation algorithm for the problem with a 5/8 approximation guarantee. This (1) improves upon the approximation factors of previous results and (2) presents a simpler solution to the previously fairly involved algorithms. Our solution uses a simple linear programming formulation. Previous solutions were combinatorial. We make use of the linear programming in a novel manner and strengthen the path-coloring method originally proposed in [S. R. Kosaraju, J. K. Park, and C. Stein, Long tours and short superstrings, in Proceedings of the 35th Annual IEEE Symposium on Foundations of Computer Science, 1994, pp. 166--177]. |
| Starting Page | 237 |
| Ending Page | 248 |
| Page Count | 12 |
| File Format | |
| ISSN | 08954801 |
| DOI | 10.1137/S0895480102402861 |
| e-ISSN | 10957146 |
| Journal | SIAM Journal on Discrete Mathematics (SJDMEC) |
| Issue Number | 2 |
| Volume Number | 17 |
| Language | English |
| Publisher | Society for Industrial and Applied Mathematics |
| Publisher Date | 2006-08-01 |
| Access Restriction | Subscribed |
| Subject Keyword | traveling salesperson graph theory Approximation algorithms linear programming Graph theory approximation algorithms Analysis of algorithms Combinatorics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
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