Comparison of Heuristics in Multiobjective A* Search

The paper reconsiders the importance of monotonicity and consistency properties on the efficiency of multiobjective A* search. Previous works on the MOA* algorithm (Multi-objective A*) concluded that the importance of the monotone property of heuristics was not as important as in A*. The recent development of an alternative algorithm (NAMOA*), gives a chance to review these results. The paper presents a formal analysis on the comparison of heuristics in NAMOA* and concludes that the properties of consistency and monotonicity are of fundamental importance in search efficiency.