Heuristics for Routing Heterogeneous Unmanned Vehicles with Fuel Constraints

Table 3

Influence of 3 neighborhoods sequences on improving quality.

Scheme	Construction heuristic	𝑁1	𝑁2	𝑁3	Average improvement (%)	Average computation time (sec)
VND	APD	2-opt	Relocate	3-opt	33.99	483.1837
VND	APD	2-opt	3-opt	Relocate	33.86	595.6045
VND	APD	Relocate	3-opt	2-opt	33.49	89.5769
VNS	APD	Relocate	2-opt	3-opt	27.52	71.3513
VNS	APD	Relocate	3-opt	2-opt	26.77	178.1168
VNS	APD	2-opt	Relocate	3-opt	25.87	79.254
VND	Voronoi	Relocate	Depot	3-opt	42.59	323.1872
VND	Voronoi	Relocate	2-opt	3-opt	36.24	225.4593
VND	Voronoi	Depot	Relocate	3-opt	35.97	891.1418
VNS	Voronoi	Relocate	2-opt	3-opt	37.37	241.9253
VNS	Voronoi	Relocate	3-opt	Depot	37.18	298.7079
VNS	Voronoi	Depot	Relocate	3-opt	36.93	795.2278