Heuristics for Routing Heterogeneous Unmanned Vehicles with Fuel Constraints

Table 4

Influence of 2 neighborhoods sequences on improving quality.

Scheme	Construction heuristic	𝑁1	𝑁2	Average improvement (%)	Average computation time (sec)
VND	APD	Relocate	2-opt	32.82	417.9984
VND	APD	2-opt	Relocate	32.15	422.4113
VND	APD	Relocate	3-opt	31.99	495.1695
VNS	APD	Relocate	3-opt	22.76	170.846
VNS	APD	3-opt	Relocate	21.24	173.4163
VNS	APD	3-opt	2-opt	20.38	121.7078
VND	Voronoi	Relocate	3-opt	39.42	753.4336
VND	Voronoi	3-opt	Relocate	33.73	1109.158
VND	Voronoi	Relocate	2-opt	30.32	11.05305
VNS	Voronoi	Relocate	3-opt	33.93	503.4305
VNS	Voronoi	3-opt	Relocate	29.22	479.8828
VNS	Voronoi	Relocate	2-opt	27.92	7.714526