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An upper bound on the time complexity of iterative-deepening-A*

An upper bound on the time complexity of iterative-deepening-A* This paper establishes an upper bound on the time complexity of iterative-deepening-A* (IDA*) in terms of the number of states that are surely-expanded by A* during a state space tree search. It is shown that given an admissible evaluation function, IDA* surely-expands in the worst caseN(N+1)/2 states, whereN is the number of states that are surely-expanded by A*. The conditions that give rise to the worst case performance of IDA* on any state space tree are described. Worst case examples are also given for uniform and non-uniform state space trees. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Mathematics and Artificial Intelligence Springer Journals

An upper bound on the time complexity of iterative-deepening-A*

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References (29)

Publisher
Springer Journals
Copyright
Copyright
Subject
Computer Science; Artificial Intelligence; Mathematics, general; Computer Science, general; Complex Systems
ISSN
1012-2443
eISSN
1573-7470
DOI
10.1007/BF01543478
Publisher site
See Article on Publisher Site

Abstract

This paper establishes an upper bound on the time complexity of iterative-deepening-A* (IDA*) in terms of the number of states that are surely-expanded by A* during a state space tree search. It is shown that given an admissible evaluation function, IDA* surely-expands in the worst caseN(N+1)/2 states, whereN is the number of states that are surely-expanded by A*. The conditions that give rise to the worst case performance of IDA* on any state space tree are described. Worst case examples are also given for uniform and non-uniform state space trees.

Journal

Annals of Mathematics and Artificial IntelligenceSpringer Journals

Published: Apr 6, 2005

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