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CORR
2006
Springer
146views Education» more  CORR 2006»
13 years 4 months ago
Approximation Algorithms for Multi-Criteria Traveling Salesman Problems
In multi-criteria optimization, several objective functions are to be optimized. Since the different objective functions are usually in conflict with each other, one cannot conside...
Bodo Manthey, L. Shankar Ram
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 4 months ago
Approximating Multi-Criteria Max-TSP
Abstract. We present randomized approximation algorithms for multicriteria Max-TSP. For Max-STSP with k > 1 objective functions, we obtain an approximation ratio of 1 k - for a...
Markus Bläser, Bodo Manthey, Oliver Putz
STACS
2009
Springer
13 years 11 months ago
On Approximating Multi-Criteria TSP
Abstract. We present approximation algorithms for almost all variants of the multicriteria traveling salesman problem (TSP), whose performances are independent of the number k of c...
Bodo Manthey
WADS
2005
Springer
187views Algorithms» more  WADS 2005»
13 years 10 months ago
Improved Approximation Algorithms for Metric Maximum ATSP and Maximum 3-Cycle Cover Problems
We consider an APX-hard variant (∆-Max-ATSP) and an APX-hard relaxation (Max-3-DCC) of the classical traveling salesman problem. We present a 31 40-approximation algorithm for â...
Markus Bläser, L. Shankar Ram, Maxim Sviriden...
WADS
2007
Springer
189views Algorithms» more  WADS 2007»
13 years 10 months ago
35/44-Approximation for Asymmetric Maximum TSP with Triangle Inequality
We describe a new approximation algorithm for the asymmetric maximum traveling salesman problem (ATSP) with triangle inequality. Our algorithm achieves approximation factor 35/44 ...
Lukasz Kowalik, Marcin Mucha