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Three of the following are heuristics derived from a relaxation. Which is the odd one out?

Mutex propagation in a planning graph

The additive heuristic over goal atoms

The maximum heuristic over goal atoms

The relaxed plan length heuristic

  • A.The maximum heuristic over goal atoms
  • B.The relaxed plan length heuristic
  • C.Mutex propagation in a planning graph
  • D.The additive heuristic over goal atoms

Answer: C

The additive, maximum and relaxed plan heuristics are all computed from the delete relaxation. Mutex propagation records interactions the relaxation deliberately ignores, so it strengthens rather than relaxes the model. Distinguishing techniques that simplify a problem to obtain a bound from those that add information to tighten one is what makes the relationship between them intelligible.

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