Research Article

Hexagon-Based Generalized Voronoi Diagrams Generation for Path Planning of Intelligent Agents

Table 4

Comparison of the computation time and the average number of cell visits for path planning tasks performed by agents on both whole hexagonal grid maps and GVDs metrics with seven different resolutions.

ResolutionWhole mapGVD metricsRatio
Time 1 (s)Cell visits 1Time 2 (s)Cell visits 2Time 1/time 2Cell visits 1/cell visits 2

72 × 1005.570835120.3591103215.51323.4031
108 × 15018.101974630.6792155026.65184.8148
144 × 20054.2843129261.2297222144.14435.8199
180 × 250123.3430205601.7734275369.55177.4682
216 × 300236.2265293402.9470353780.16838.2951
252 × 350410.7248386623.62824008113.20359.6462
288 × 400684.7620512754.25494384160.934911.6959