Deterministic algorithms for multi-criteria Max-TSP


Manthey, Bodo (2012) Deterministic algorithms for multi-criteria Max-TSP. Discrete Applied Mathematics, 160 (15). pp. 2277-2285. ISSN 0166-218X

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Abstract:We present deterministic approximation algorithms for the multi-criteria maximum traveling salesman problem (Max-TSP). Our algorithms are faster and simpler than the existing randomized algorithms. We devise algorithms for the symmetric and asymmetric multi-criteria Max-TSP that achieve ratios of 1/2k − $\varepsilon$ and 1/(4k−2) − $\varepsilon$, respectively, where k is the number of objective functions. For two objective functions, we obtain ratios of 3/8 − $\varepsilon$ and 1/4 − $\varepsilon$ for the symmetric and asymmetric TSP, respectively. Our algorithms are self-contained and do not use existing approximation schemes as black boxes.
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Copyright:© 2012 Elsevier
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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