"Efficient fastest-path computations for road maps" by Renjie Chen and Craig Gotsman
 

Efficient fastest-path computations for road maps

Document Type

Article

Publication Date

6-1-2021

Abstract

In the age of real-time online traffic information and GPS-enabled devices, fastest-path computations between two points in a road network modeled as a directed graph, where each directed edge is weighted by a “travel time” value, are becoming a standard feature of many navigation-related applications. To support this, very efficient computation of these paths in very large road networks is critical. Fastest paths may be computed as minimal-cost paths in a weighted directed graph, but traditional minimal-cost path algorithms based on variants of the classical Dijkstra algorithm do not scale well, as in the worst case they may traverse the entire graph. A common improvement, which can dramatically reduce the number of graph vertices traversed, is the A* algorithm, which requires a good heuristic lower bound on the minimal cost. We introduce a simple, but very effective, heuristic function based on a small number of values assigned to each graph vertex. The values are based on graph separators and are computed efficiently in a preprocessing stage. We present experimental results demonstrating that our heuristic provides estimates of the minimal cost superior to those of other heuristics. Our experiments show that when used in the A* algorithm, this heuristic can reduce the number of vertices traversed by an order of magnitude compared to other heuristics.

Identifier

85103407115 (Scopus)

Publication Title

Computational Visual Media

External Full Text Location

https://doi.org/10.1007/s41095-021-0211-2

e-ISSN

20960662

ISSN

20960433

First Page

267

Last Page

281

Issue

2

Volume

7

Grant

2008085MF195

Fund Ref

Natural Science Foundation of Anhui Province

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