Heuristics: intelligent search strategies for computer problem solving
Heuristics: intelligent search strategies for computer problem solving
Generalized best-first search strategies and the optimality of A*
Journal of the ACM (JACM)
Depth-first iterative-deepening: an optimal admissible tree search
Artificial Intelligence
Randomized algorithms
Approximation algorithms for NP-hard problems
Approximation algorithms for NP-hard problems
Complexity analysis admissible heuristic search
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
Time complexity of iterative-deepening-A
Artificial Intelligence - Special issue on heuristic search in artificial intelligence
Approximation algorithms
Primal-dual schema based approximation algorithms
Theoretical aspects of computer science
Lower bounds for local search by quantum arguments
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 2
Predicting the performance of IDA* using conditional distributions
Journal of Artificial Intelligence Research
Predicting the size of IDA*'s search tree
Artificial Intelligence
The time complexity of A* with approximate heuristics on multiple-solution search spaces
Journal of Artificial Intelligence Research
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We study the behavior of the classical A* search algorithm when coupled with a heuristic that provides estimates, accurate to within a small multiplicative factor, of the distance to a solution. We prove general upper bounds on the complexity of A* search, for both admissible and unconstrained heuristic functions, that depend only on the distribution of solution objective values. We go on to provide nearly matching lower bounds that are attained even by non-adversarially chosen solution sets induced by a simple stochastic model.