On the analysis of the (1+ 1) evolutionary algorithm
Theoretical Computer Science
Representations for Genetic and Evolutionary Algorithms
Representations for Genetic and Evolutionary Algorithms
Repair and Brood Selection in the Traveling Salesman Problem
PPSN V Proceedings of the 5th International Conference on Parallel Problem Solving from Nature
Evolutionary Algorithms and the Maximum Matching Problem
STACS '03 Proceedings of the 20th Annual Symposium on Theoretical Aspects of Computer Science
How to Solve It: Modern Heuristics
How to Solve It: Modern Heuristics
Crossover gene selection by spatial location
Proceedings of the 8th annual conference on Genetic and evolutionary computation
Randomized local search, evolutionary algorithms, and the minimum spanning tree problem
Theoretical Computer Science
Approximating covering problems by randomized search heuristics using multi-objective models
Proceedings of the 9th annual conference on Genetic and evolutionary computation
Crossover can provably be useful in evolutionary computation
Proceedings of the 10th annual conference on Genetic and evolutionary computation
Algorithms and Data Structures: The Basic Toolbox
Algorithms and Data Structures: The Basic Toolbox
Approximating Minimum Multicuts by Evolutionary Multi-objective Algorithms
Proceedings of the 10th international conference on Parallel Problem Solving from Nature: PPSN X
Computing single source shortest paths using single-objective fitness
Proceedings of the tenth ACM SIGEVO workshop on Foundations of genetic algorithms
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
Genetic and Evolutionary Computation Conference
Improved analysis methods for crossover-based algorithms
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
Fixed-parameter evolutionary algorithms and the vertex cover problem
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
Running Time Analysis of ACO Systems for Shortest Path Problems
SLS '09 Proceedings of the Second International Workshop on Engineering Stochastic Local Search Algorithms. Designing, Implementing and Analyzing Effective Heuristics
Worst-case and average-case approximations by simple randomized search heuristics
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
IEEE Transactions on Evolutionary Computation
Edge sets: an effective evolutionary coding of spanning trees
IEEE Transactions on Evolutionary Computation
Black-box complexities of combinatorial problems
Proceedings of the 13th annual conference on Genetic and evolutionary computation
How crossover helps in pseudo-boolean optimization
Proceedings of the 13th annual conference on Genetic and evolutionary computation
An analysis on recombination in multi-objective evolutionary optimization
Proceedings of the 13th annual conference on Genetic and evolutionary computation
Running time analysis of Ant Colony Optimization for shortest path problems
Journal of Discrete Algorithms
Reducing the arity in unbiased black-box complexity
Proceedings of the 14th annual conference on Genetic and evolutionary computation
More effective crossover operators for the all-pairs shortest path problem
Theoretical Computer Science
Black-box complexities of combinatorial problems
Theoretical Computer Science
An analysis on recombination in multi-objective evolutionary optimization
Artificial Intelligence
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The all-pairs shortest path problem is the first nonartificial problem for which it was shown that adding crossover can significantly speed up a mutation-only evolutionary algorithm. Recently, the analysis of this algorithm was refined and it was shown to have an expected optimization time of Θ(n3.25(log n)0.25). In this work, we study two variants of the algorithm. These are based on two central concepts in recombination, repair mechanisms and parent selection. We show that repairing infeasible offspring leads to an improved expected optimization time of O(n3.2(log n)0.2). Furthermore, we prove that choosing parents that guarantee feasible offspring results in an optimization time of O(n3 log n).