A TIL-Relaxed Heuristic for Planning with Time Windows

We consider planning problems with time windows, in which the availability of discrete resources is time constrained. We develop a novel heuristic that addresses specifically the difficulty of coordinating actions within time windows. The heuristic is based on solving a temporally relaxed problem and measuring the magnitude by which the relaxed solution violates the time window constraints. Applied in a state-space search planner, the heuristic reduces the number of dead-ends encountered during search, and improves planner coverage.