Algorithms in a Nutshell

(^192) | Chapter 7: Path Finding in AI Figure 7-9. Sample Breadth-First Search tree for 8-puzzle Example 7-4. Breadth-First Sear ...

Breadth-First Search | 193 Path Finding in AI Consequences BREADTH-FIRSTSEARCHwill blindly search through the search tree, poten ...

(^194) | Chapter 7: Path Finding in AI SEARCHmust store on the order ofbdboard states inopen, wherebis the branching factor for ...

A*Search | 195 Path Finding in AI Input/Output Input The algorithm starts from an initial board state in a search tree and a goa ...

(^196) | Chapter 7: Path Finding in AI Assumptions If 0≤h(n)≤h(n) andg(n)≥g(n), then ASEARCHwill find the minimal-cost solu- tio ...

A*Search | 197 Path Finding in AI Specifically, A*SEARCHchecks whether the goal state is reached only when a board state is remo ...

(^198) | Chapter 7: Path Finding in AI Figure 7-12. Sample ASearch tree in 8-puzzle using WeakEvaluator f(n) Example 7-5. A*Sear ...

A*Search | 199 Path Finding in AI // Remove node with smallest evaluation function and mark closed. INode n = open.remove( ); cl ...

(^200) | Chapter 7: Path Finding in AI As with BREADTH-FIRSTSEARCHand DEPTH-FIRSTSEARCH, board states are entered into theclosed ...

A*Search | 201 Path Finding in AI Forces BREADTH-FIRSTSEARCHand DEPTH-FIRSTSEARCHinspect theclosedset to see whether it contains ...

(^202) | Chapter 7: Path Finding in AI GoodEvaluatorbased upon the logic of the 8-puzzleGoodEvaluator. With the goal state of: a ...

A*Search | 203 Path Finding in AI A common powerful alternative to A*SEARCHis known as ITERATIVEDEEPENINGA* (or IDA*), developed ...

(^204) | Chapter 7: Path Finding in AI Related Algorithms Although ASEARCHproduces minimal-cost solutions, the search space may ...

Comparison | 205 Path Finding in AI sample game, we created an initial state by randomly movingntiles (ranging from 2, 4, 8, and ...

(^206) | Chapter 7: Path Finding in AI with up to 30 random moves, the growth rate of the search tree was O(n1.5147); although n ...

Minimax | 207 Path Finding in AI BREADTH-FIRSTSEARCHfinds the shortest path to the solution, though the resulting solutions for ...

(^208) | Chapter 7: Path Finding in AI Input/Output Input The algorithm starts from an initial position in a game tree and assum ...

Minimax | 209 Path Finding in AI Assumptions Evaluating the game state is complex, and one must resort to heuristic evalua- tion ...

(^210) | Chapter 7: Path Finding in AI TheMAXand MINselectors simply evaluate scores to properly select the minimum or maximum s ...

Minimax | 211 Path Finding in AI Consequences This algorithm can rapidly become overwhelmed by the sheer number of game states g ...