Which of the following statements are true given A* (admissibility and consistency of heuristics ] ? The heuristic function h[n] is called admissible if h[n] is never larger than h*[n], namely h[n] is always less or equal to true cheapest cost from n to the goal. If the heuristic function, h always underestimates the true cost [h[n] is smaller than h*[n]), then A* is guaranteed to find an optimal solution. When h is inconsistent, it can not be admissible. If h is consistent and h[goal)=0 then h is admissible A* is complete and optimal

Which of the following statements are true given A* (admissibility and consistency of heuristics ] ? The heuristic function h[n] is called admissible if h[n] is never larger than h[n], namely h[n] is always less or equal to true cheapest cost from n to the goal. If the heuristic function, h always underestimates the true cost [h[n] is smaller than h[n]), then A* is guaranteed to find an optimal solution. When h is inconsistent, it can not be admissible. If h is consistent and h[goal)=0 then h is admissible A* is complete and optimal

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter9: Integer Programming

Section9.2: Formulating Integer Programming Problems

Problem 22P

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This problem exercises the basic concepts of game playing, using tic-tac-toe (noughtsand crosses) as an example. We define Xn as the number of rows, columns, or diagonals with exactly n X’s and no O’s. Similarly, On is the number of rows, columns, or diagonals with just n O’s. The utility function assigns +1 to any position with X3 = 1 and −1 to any position with O3 = 1. All other terminal positions have utility 0. For nonterminal positions, we use a linear evaluation function defined as Eval (s) = 3X2(s)+X1(s)−(3O2(s)+O1(s))."Mark on your tree the evaluations of all the positions at depth 2."
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