Computing the n × m Shortest Paths Efficiently

Computation of all tfie shortest paths between multiple sources and multiple destinations on various networks is required in many problems, such as the traveling salesperson problem (TSP) and the vehicle routing problem (VRP). This paper proposes new algorithms that compute the set of shortest paths efficiently by using the A* algorithm. The efficiency and properties of these algorithms are examined by using the results of experiments on an actual road network. Categories and Subject Descriptors: F.2.m [Analysis of Algorithms and Problem Complexity]: Miscellaneous; G.2.2 [Discrete Mathematics]: Graph Theory—Path and circuit problems. © 2000, ACM. All rights reserved.