Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Coordinates of all Ri_
| Ci | Ai(x) | Ai(y) | Ei,K | Ei,1 (x) | Ei,1 (y) | Ei,K | Ei,2 (x) | Ei,2 (y) |
|---|---|---|---|---|---|---|---|---|
| C1=A1 | 0 | 0 | E1,1 | 10 | 0.08 | E1,2 | 5.84 | 5.00 |
| C2=A2 | 6 | 0 | E2,1 | 8.43 | 5 | E2,2 | 0 | 3.59 |
| C3=A3 | 9 | 0 | E3,1 | 6.92 | 5 | E3,2 | 0 | 2.09 |
| C4=A4 | 10 | 0 | E4,1 | 5.92 | 5 | E4,2 | 0 | 0.08 |
| C5=A5 | 10 | 1.5 | E5,1 | 3.33 | 5 | E5,2 | 1.42 | 0 |
| C6=A6 | 10 | 2.5 | E6,1 | 2.67 | 5 | E6,2 | 1.92 | 0 |
| C7=A7 | 10 | 5 | E7,1 | 0.17 | 5 | E7,2 | 4.42 | 0 |
| C8=A8 | 5.5 | 5 | E8,1 | 0.33 | 0 | E8,2 | 10 | 0.42 |
| C9=A9 | 3 | 5 | E9,1 | 1.58 | 0 | E9,2 | 10 | 1.83 |
| C10=A10 | 0 | 5 | E10,1 | 4.58 | 0 | E10,2 | 9.83 | 5 |
| C11=A11 | 0 | 2 | E11,1 | 9.07 | 0 | E11,2 | 6.83 | 5 |
| C12=A12 | 0 | 1 | E12,1 | 9.07 | 0 | E12,2 | 6.83 | 5 |
The sum of the total delivery path for each Ri_
| Σ | Sk | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Ri(x) | Ri(y) | Σ | S1(a) | S1 (b) | S2(a) | S2 (b) | S3(a) | S3(b) | ||
| R1 | A1 | 0 | 0 | 16.64 | 4.29 | 0 | 9.25 | 4.125 | 1.002 | 4.339 |
| R2 | E8,1 | 0.33 | 0 | 16.49 | 0.811 | 4.161 | 4.625 | 0.001 | 9.054 | 4.316 |
| R3 | E5,2 | 1.42 | 0 | 16.82 | 8.384 | 4.736 | 0.392 | 3.521 | 5.696 | 0.023 |
| R4 | E9,1 | 1.58 | 0 | 16.94 | 0.357 | 3.418 | 5.853 | 0.033 | 8.273 | 4.778 |
| R5 | E6,2 | 1.92 | 0 | 17.22 | 8.033 | 4.848 | 0.308 | 3.199 | 6.334 | 0.082 |
| R6 | E7,2 | 4.4 | 0 | 18.22 | 5.71 | 5 | 1.043 | 0.828 | 9.192 | 1.103 |
| R7 | E10,1 | 4.58 | 0 | 18.2 | 1.136 | 0.727 | 9.278 | 1.204 | 5.54 | 5 |
| R8 | A2 | 6 | 0 | 17.21 | 9.708 | 2.359 | 2.91 | 4.967 | 2.014 | 0.209 |
| R9 | A3 | 9 | 0 | 16.28 | 9.672 | 3.454 | 1.668 | 4.75 | 3.219 | 0.016 |
| R10 | E11,1 | 9.07 | 0 | 16.25 | 3.292 | 0.011 | 9.65 | 3.505 | 1.606 | 4.726 |
| R11 | E12,1 | same as R10 | ||||||||
| R12 | A4 | 10 | 0 | 16.45 | 9.293 | 4.077 | 1.049 | 4.379 | 4.21 | 0 |
| R13 | E1,1 | 10 | 0.1 | same as R1 | ||||||
| R14 | E8,2 | 10 | 0.4 | same as R2 | ||||||
| R15 | A5 | 10 | 1.5 | same as R3 | ||||||
| R16 | E9,2 | 10 | 1.8 | same as R4 | ||||||
| R17 | A6 | 10 | 2.5 | same as R5 | ||||||
| R18 | A7 | 10 | 5 | same as R6 | ||||||
| R19 | E10,2 | 9.8 | 5 | same as R7 | ||||||
| R20 | E2,1 | 8.4 | 5 | same as R8 | ||||||
| R21 | E3,1 | 6.9 | 5 | same as R9 | ||||||
| R22 | E11,2 | 6.8 | 5 | same as R10 | ||||||
| R23 | E12,2 | same as R10 | ||||||||
| R24 | E4,1 | 5.9 | 5 | same as R12 | ||||||
| R25 | E1,2 | 5.8 | 5 | same as R1 | ||||||
| R26 | A8 | 5.5 | 5 | same as R2 | ||||||
| R27 | E5,1 | 3.3 | 5 | same as R3 | ||||||
| R28 | A9 | 3 | 5 | same as R4 | ||||||
| R29 | E6,1 | 2.7 | 5 | same as R5 | ||||||
| R30 | E7,1 | 0.2 | 5 | same as R6 | ||||||
| R31 | A10 | 0 | 5 | same as R7 | ||||||
| R32 | E2,2 | 0 | 3.6 | same as R8 | ||||||
| R33 | E3,2 | 0 | 2.1 | same as R9 | ||||||
| R34 | A11 | 0 | 2 | same as R10 | ||||||
| R35 | A12 | same as R10 | ||||||||
| R36 | E4,2 | 0 | 0.1 | same as R12 | ||||||