TY - GEN
T1 - A parameterized runtime analysis of evolutionary algorithms for the Euclidean traveling salesperson problem
AU - Sutton, Andrew M.
AU - Neumann, Frank
PY - 2012
Y1 - 2012
N2 - We contribute to the theoretical understanding of evolutionary algorithms and carry out a parameterized analysis of evolutionary algorithms for the Euclidean traveling salesperson problem (Euclidean TSP). We exploit structural properties related to the optimization process of evolutionary algorithms for this problem and use them to bound the runtime of evolutionary algorithms. Our analysis studies the runtime in dependence of the number of inner points k and shows that simple evolutionary algorithms solve the Euclidean TSP in expected time O(n 4k(2k - 1)!). Moreover, we show that, under reasonable geometric constraints, a locally optimal 2-opt tour can be found by randomized local search in expected time O(n 2kk!).
AB - We contribute to the theoretical understanding of evolutionary algorithms and carry out a parameterized analysis of evolutionary algorithms for the Euclidean traveling salesperson problem (Euclidean TSP). We exploit structural properties related to the optimization process of evolutionary algorithms for this problem and use them to bound the runtime of evolutionary algorithms. Our analysis studies the runtime in dependence of the number of inner points k and shows that simple evolutionary algorithms solve the Euclidean TSP in expected time O(n 4k(2k - 1)!). Moreover, we show that, under reasonable geometric constraints, a locally optimal 2-opt tour can be found by randomized local search in expected time O(n 2kk!).
UR - http://www.scopus.com/inward/record.url?scp=84868286590&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84868286590&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84868286590
SN - 9781577355687
T3 - Proceedings of the National Conference on Artificial Intelligence
SP - 1105
EP - 1111
BT - AAAI-12 / IAAI-12 - Proceedings of the 26th AAAI Conference on Artificial Intelligence and the 24th Innovative Applications of Artificial Intelligence Conference
T2 - 26th AAAI Conference on Artificial Intelligence and the 24th Innovative Applications of Artificial Intelligence Conference, AAAI-12 / IAAI-12
Y2 - 22 July 2012 through 26 July 2012
ER -