TY - JOUR

T1 - A 5/8 approximation algorithm for the maximum asymmetric TSP

AU - Lewenstein, Moshe

AU - Sviridenko, Maxim

PY - 2003/11

Y1 - 2003/11

N2 - 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].

AB - 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].

KW - Approximation algorithms

KW - Graph theory

KW - Linear programming

KW - Traveling salesperson

UR - http://www.scopus.com/inward/record.url?scp=2542485737&partnerID=8YFLogxK

U2 - 10.1137/S0895480102402861

DO - 10.1137/S0895480102402861

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AN - SCOPUS:2542485737

SN - 0895-4801

VL - 17

SP - 237

EP - 248

JO - SIAM Journal on Discrete Mathematics

JF - SIAM Journal on Discrete Mathematics

IS - 2

ER -