Inverting the Multiple-Assisting Tool Network Problem to Solve for Optimality

Table 2

Lean system performance results. System performance Comparing geometric-based optimal drone parameters to standard drone parameters

Exp.	Size operating area (km^2)	Standard parameters (α = 2, κ = 10, )			Optimal system parameters (α, κ, and )
		Avg. utiL	Avg. wait	Avg. time	Avg. utiL	Avg. wait	Avg. time
1	1	1.00	0.063	2.48	0.98	0.05	1.08
2	25	1.00	0.286	11.82	0.99	0.24	7.91
3	100	0.95	0.93	25.03	0.86	1.76	21.13
4	300	0.75	2.03	51.52	0.64	2.10	47.10
5	700	0.22	2.73	102.94	0.29	3.30	93.24
6	1000	0.24	2.22	139.47	0.29	3.16	103.31

For each of the six experiments, ten runs were conducted for each delivery area (km²) and results were averaged. Each experiment was comprised of 30 delivery nodes. Arbitrary system parameters (α = 2, κ = 10, ) were compared to lean system parameters determined by nonlinear-optimization equations found in Section 2.