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Backtracking - Implementation
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Backtracking, Backtracking - Applications, Backtracking - Explanation, Backtracking - Heuristics, Backtracking - Implementation

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Backtracking - Implementation: Encyclopedia II - Backtracking - Implementation

Essentially, the idea is to try each possibility until you get the right one. It is a depth-first search of the set of solutions. During the search, if you try an alternative that doesn't work, you backtrack to the choice point, the place which presented you with different alternatives, and you try the next alternative. When you have exhausted the alternatives, you return to the previous choice point and try the next alternative there. If the ...

Several heuristics are common to speed up the process. Because the variables can be processed in any order, it is generally efficient to try the most constrained ones first (i.e. the ones with fewest value options) as this prunes the search tree early (maximizes the impact of the current early choice). When choosing which value to assign, many implementations use forward checking to see which value restricts the least number of values, in the anticipation that such a choice is a) more likely to preserve a possible solution and b) a solution has been found when the number of outsta ...

Constraint satisfaction problems are problems with a complete solution, where the order of elements does not matter. The problems consist of a set of variables each of which must be assigned a value, subject to the particular constraints of the problem. Backtracking attempts to try all the combinations in order to obtain a solution. Its strength is that many implementations avoid trying many partial combinations, thus speeding up the running-time. Backtracking ...

Backtracking - Implementation

A Wisdom Archive on Backtracking - Implementation

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