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What is the min conflicts heuristic?

  • A.Choosing the assignment with the fewest variables assigned
  • B.Choosing the value violating the fewest constraints
  • C.Choosing the variable involved in the fewest conflicts
  • D.Minimising the total number of constraints in the problem

Answer: B

In local search over complete assignments, selecting a conflicted variable and giving it the value that minimises the number of violated constraints solves very large problems remarkably fast. A million queens is solved in seconds. Variable selection is usually random among conflicted ones, and the other options describe different quantities. A hill climbing rule on the count of violations turns a combinatorial search into an optimisation, with all the advantages and the local optimum risk that implies.

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