Arrangement of material depots for line segment–modeled structures using continuous conditions

Attila Pém; Levente Mályusz

Open Access

Arrangement of material depots for line segment–modeled structures using continuous conditions

Attila Pém

and

Levente Mályusz

| Mar 14, 2017

Organization, Technology and Management in Construction: an International Journal

Volume 8 (2016): Issue 1 (December 2016)

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Cite

Published Online: Mar 14, 2017

Page range: 1518 - 1527

Received: Oct 01, 2016

Accepted: Nov 18, 2016

DOI: https://doi.org/10.1515/otmcj-2016-0009

Keywords
construction site layout planning, continuous demand, facility location allocation

© 2016 Attila Pém et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

(a) 2D marking of the structure. (b) The length of the total delivery path.

Length of the total delivery distance for different cut points between Rj and Rj+1.

Drawing provided by the architect (left panel), and the information transformed into the model (right panel).

Measuring counterclockwise k pieces’ Vd, volume of line segment chains from all Ai.

The curve of the sum of the delivery path.

The lowest solution of all counted equations.

(a) An expert's solution on paper. (b) The expert's solution in real field.

(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.

C_i	A_i(x)	A_i(y)	E_i,K	E_i,1 (x)	E_i,1 (y)	E_i,K	E_i,2 (x)	E_i,2 (y)
C₁=A₁	0	0	E_1,1	10	0.08	E_1,2	5.84	5.00
C₂=A₂	6	0	E_2,1	8.43	5	E_2,2	0	3.59
C₃=A₃	9	0	E_3,1	6.92	5	E_3,2	0	2.09
C₄=A₄	10	0	E_4,1	5.92	5	E_4,2	0	0.08
C₅=A₅	10	1.5	E_5,1	3.33	5	E_5,2	1.42	0
C₆=A₆	10	2.5	E_6,1	2.67	5	E_6,2	1.92	0
C₇=A₇	10	5	E_7,1	0.17	5	E_7,2	4.42	0
C₈=A₈	5.5	5	E_8,1	0.33	0	E_8,2	10	0.42
C₉=A₉	3	5	E_9,1	1.58	0	E_9,2	10	1.83
C₁₀=A₁₀	0	5	E_10,1	4.58	0	E_10,2	9.83	5
C₁₁=A₁₁	0	2	E_11,1	9.07	0	E_11,2	6.83	5
C₁₂=A₁₂	0	1	E_12,1	9.07	0	E_12,2	6.83	5

The sum of the total delivery path for each Ri.

R_j				Σ	S_k
		R_i(x)	R_i(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	E_8,1	0.33	0	16.49	0.811	4.161	4.625	0.001	9.054	4.316
R₃	E_5,2	1.42	0	16.82	8.384	4.736	0.392	3.521	5.696	0.023
R₄	E_9,1	1.58	0	16.94	0.357	3.418	5.853	0.033	8.273	4.778
R₅	E_6,2	1.92	0	17.22	8.033	4.848	0.308	3.199	6.334	0.082
R₆	E_7,2	4.4	0	18.22	5.71	5	1.043	0.828	9.192	1.103
R₇	E_10,1	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	E_11,1	9.07	0	16.25	3.292	0.011	9.65	3.505	1.606	4.726
R₁₁	E_12,1	same as R₁₀
R₁₂	A₄	10	0	16.45	9.293	4.077	1.049	4.379	4.21	0

R₁₃	E_1,1	10	0.1	same as R₁
R₁₄	E_8,2	10	0.4	same as R₂
R₁₅	A₅	10	1.5	same as R₃
R₁₆	E_9,2	10	1.8	same as R₄
R₁₇	A₆	10	2.5	same as R₅
R₁₈	A₇	10	5	same as R₆
R₁₉	E_10,2	9.8	5	same as R₇
R₂₀	E_2,1	8.4	5	same as R₈
R₂₁	E_3,1	6.9	5	same as R₉
R₂₂	E_11,2	6.8	5	same as R₁₀
R₂₃	E_12,2	same as R₁₀
R₂₄	E_4,1	5.9	5	same as R₁₂
R₂₅	E_1,2	5.8	5	same as R₁
R₂₆	A₈	5.5	5	same as R₂
R₂₇	E_5,1	3.3	5	same as R₃
R₂₈	A₉	3	5	same as R₄
R₂₉	E_6,1	2.7	5	same as R₅
R₃₀	E_7,1	0.2	5	same as R₆
R₃₁	A₁₀	0	5	same as R₇
R₃₂	E_2,2	0	3.6	same as R₈
R₃₃	E_3,2	0	2.1	same as R₉
R₃₄	A₁₁	0	2	same as R₁₀
R₃₅	A₁₂	same as R₁₀
R₃₆	E_4,2	0	0.1	same as R₁₂

eISSN:: 1847-6228
Language:: English

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Arrangement of material depots for line segment–modeled structures using continuous conditions

Article Category: Research Article

Published Online: Mar 14, 2017

Page range: 1518 - 1527

Received: Oct 01, 2016

Accepted: Nov 18, 2016

DOI: https://doi.org/10.1515/otmcj-2016-0009

Keywords
construction site layout planning, continuous demand, facility location allocation

© 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

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Coordinates of all Ri.

The sum of the total delivery path for each Ri.

Arrangement of material depots for line segment–modeled structures using continuous conditions

Article Category: Research Article

Published Online: Mar 14, 2017

Page range: 1518 - 1527

Received: Oct 01, 2016

Accepted: Nov 18, 2016

DOI: https://doi.org/10.1515/otmcj-2016-0009

Keywordsconstruction site layout planning, continuous demand, facility location allocation

© 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

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Coordinates of all Ri.

The sum of the total delivery path for each Ri.

Keywords
construction site layout planning, continuous demand, facility location allocation