Memory-based Heuristic Sample Clauses

Memory-based Heuristic. ‌ All efforts in creating the PDBs, by searching the abstract state-space, are spent prior to searching for a plan, so that these computations amortize through multiple lookups for the heuristic estimate of each state. However, this approach has also shown some major drawbacks: in the worst case, the time used in searching the relaxed state spaces may be more than the time saved searching the overall search space [138]. PDBs are not only a heuristic based on task abstraction, but are also memory-based, as all the work in constructing the heuristic (i.e. the lookup table) is done prior to concrete search. Therefore, it is vital to explore the relationship between the size of a pattern database and the number of nodes that will be expanded during search by an algorithm like A⋆. Xxxx conjectures in [84] that when using this type of heuristic, m· t is constant, where m is memory and t is time. This conjuncture was confirmed by Xxxxx et al. in [73], although in their results log(t) and log(m) are shown to be linearly related. This knowledge is important as it provides an assurance that, with an increase of memory available for the construction of the heuristic, search will be finished faster. In other terms, the more memory used when creating a PDB, the less time the A* algorithm will spend actually searching for a solution. One way of applying PDBs to planning problems is by using the Perimeter PDB. In several planning tasks, generating the perimeter PDB finds already the plan, as shown by Xxxxxx et. al. [43]. As such, it can be used as a subroutine by a planner, allocating some time to generate a Perimeter PDB to see if it can be solved directly.
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