Table 5 Task assignment result of \(N=10,M=8\).

From: Integrated method for multi-UAV task assignment and trajectory planning with deadlock based on Three-dimensional dubins path

No.

U

\({\varvec{p}}\)

Integrated solution

Decoupling solution

1

\({U_1}\)

\(T_{8}^{2} - T_{7}^{2} - T_{6}^{2}\)

\(T_{6}^{2} - T_{2}^{2} - T_{1}^{2} - T_{3}^{2} - T_{5}^{2}\)

2

\({U_2}\)

\(T_{5}^{1}\)

\(T_{7}^{1} - T_{8}^{1} - T_{7}^{3} - T_{8}^{3} - T_{5}^{3}\)

3

\({U_3}\)

\(T_{8}^{1}\)

\(T_{2}^{1}\)

4

\({U_4}\)

\(T_{4}^{1} - T_{1}^{1} - T_{6}^{1}\)

\(T_{1}^{1}\)

5

\({U_5}\)

\(T_{3}^{1}\)

\(T_{3}^{1}\)

6

\({U_6}\)

\(T_{4}^{1}\)

/

7

\({U_7}\)

\(T_{5}^{2} - T_{7}^{1} - T_{8}^{3} - T_{2}^{2} - T_{7}^{3} - T_{5}^{3}\)

\(T_{5}^{1} - T_{7}^{2} - T_{8}^{2} - T_{2}^{3}\)

8

\({U_8}\)

\(T_{3}^{2} - T_{4}^{3} - T_{1}^{2}\)

\(T_{6}^{1} - T_{4}^{2} - T_{1}^{3} - T_{3}^{3}\)

9

\({U_9}\)

/

\(T_{4}^{1}\)

10

\({U_{10}}\)

\(T_{2}^{1} - T_{6}^{3} - T_{2}^{3} - T_{1}^{3} - T_{3}^{3}\)

\(T_{6}^{3} - T_{4}^{3}\)