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What is the effective branching factor of a heuristic search?

  • A.The average number of successors each expanded node produced
  • B.The ratio of nodes expanded to nodes generated during the search
  • C.The branching factor of the relaxed problem the heuristic came from
  • D.The uniform branching factor that would generate the same node count

Answer: D

Given the nodes generated and the solution depth, the effective branching factor is the value b that satisfies the node count for a uniform tree of that depth, and it is the standard empirical measure of heuristic quality. A value near one indicates a nearly perfect heuristic. The raw successor count, the expansion ratio and the relaxation's structure are different quantities. Summarising a search's efficiency in one interpretable number is what allows heuristics to be compared across problems.

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