Draw the state space tree for the 5-Queen problem with a branching factor of 2. Show a local maxima in the state space tree if Hill Climbing is used to solve the problem. Note that you do not have to draw the whole state space tree. You can make up an initial state of your choice.

Draw the state space tree for the 5-Queen problem with a branching factor of 2. Show a local maxima in the state space tree if Hill Climbing is used to solve the problem. Note that you do not have to draw the whole state space tree. You can make up an initial state of your choice.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter14: Game Theory

Section14.3: Linear Programming And Zero-sum Games

Problem 9P

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Heuristic System

The term heuristic is derived from the Greek word heurisko, which means “I find, discover”. Heuristics can be mental shortcuts or approaches designed from previous experiences. The main aim of the heuristic approach is to find a good enough solution to solve the problem. Test and mistake, rule of thumb, or an educated estimate are all examples of heuristics. These methods are sufficient for achieving an immediate, brief aim. When a heuristic is used in practice, it works as predicted. It can, however, produce systematic errors. Trial and error is an important heuristic that may be used in a variety of situations, from cross-linking nuts and bolts to determining the values of given input variables in mathematical puzzles. Additional hypotheses, visual illustrations, simplification, and forward or backward reasoning are all common heuristics in mathematics.

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