Arrangement of material depots for line segment–modeled structures using continuous conditions
Article Category: Research Article
Publié en ligne: 14 mars 2017
Pages: 1518 - 1527
Reçu: 01 oct. 2016
Accepté: 18 nov. 2016
© 2016 Attila Pém et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Fig. 1
Modeling the structure.Fig. 2
(a) 2D marking of the structure. (b) The length of the total delivery path.Fig. 3
Length of the total delivery distance for different cut points between Rj and Rj+1.Fig. 4
Drawing provided by the architect (left panel), and the information transformed into the model (right panel).Fig. 5
Measuring counterclockwise k pieces’ Vd, volume of line segment chains from all Ai.Fig. 6
The curve of the sum of the delivery path.Fig. 7
The lowest solution of all counted equations.Fig. 8
(a) An expert's solution on paper. (b) The expert's solution in real field.Fig. 9
(a) Result of the model in Fig. 8; (b) Voronoi regions for the result of the model in Fig. 8; (c) output of laborer's mentality.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.
Rj | | | | 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 | | | | | | |