Near Optimal Hierarchical Path-Finding.

Abstract

The problem of path-finding in commercial computer games has to be solved in real time, often under constraints of limited memory and CPU resources. The computational effort required to find a path, using a search algorithm such as A*, increases with size of the search space. Hence, pathfinding on large maps can result in serious performance bottlenecks. This paper presents HPA * (Hierarchical Path-Finding A*), a hierarchical approach for reducing problem complexity in path-finding on grid-based maps. This technique abstracts a map into linked local clusters. At the local level, the optimal distances for crossing each cluster are pre-computed and cached. At the global level, clusters are traversed in a single big step. A hierarchy can be extended to more than two levels. Small clusters are grouped together to form larger clusters. Computing crossing distances for a large cluster uses distances computed for the smaller contained clusters. Our method is automatic and does not depend on a specific topology. Both random and real-game maps are successfully handled using no domainspecific knowledge. Our problem decomposition approach works very well in domains with a dynamically changing environment. The technique also has the advantage of simplicity and is easy to implement. If desired, more sophisticated, domain-specific algorithms can be plugged in for increased performance. The experimental results show a great reduction of the search effort. Compared to a highly-optimized A*, HPA * is shown to be up to 10 times faster, while finding paths that are within 1 % of optimal. 1 1