A shortest path algorithm based on hierarchical graph model

Abstract

This paper discusses a new algorithm for the shortest path founding based on hierarchical graphs. It plots out a flat graph into some sub-graphs, which are abstracted as a high-level graph. The calculation for the shortest path founding begins at the high-level graph. This method shrinks the searching range of the shortest path and reduces the time spending of calculating it. Since the impedance function among sub-graphs can be calculated dynamically, this algorithm can be applied to dynamic traffic inducement system.