
Figure 1.
The exemplary level of Macro BIM model detailing. Graphic source: [5]

Figure 2.
Macro BIM process scheme. Authors’ study based on [5]

Figure 3.
The scheme presents the objectives and following steps of case study
Table 1.
List of primary school facilities. Selected data and cost values [PLN] per unit [m3]
| ID | Value of works according to the investor / initial estimated value [PLN] | Contract price [PLN] | Building volume [m3] | Investment value / volume [m3] | Contractual price per volume (price per m2) | Object size according to area [m2] (S/M/L) | Number of storeys (O/F/M) | Location | Location Type (Rural, Urban) |
|---|---|---|---|---|---|---|---|---|---|
| LP3 | 43638488.13 | 46358700.00 | 37536.54 | 1162.56 | 1235.03 | L (6 166.40 m2) | F-2 | Środa Śląska | U |
| LP13 | 9310000.00 | 10091905.01 | 7244.94 | 1285.03 | 1392.96 | M (1269.67 m2) | F-2 | Dopiewo | R |
| LP53 | 48474598.56 | 50899568.95 | 38422.20 | 1261.63 | 1324.74 | L (7110.20 m2) | F-3 | Warszawa | U |
| LP103 | 60121311.66 | 68861788.62 | 45515.50 | 1320.90 | 1512.93 | L (11957.30 m2) | F-3 | Warszawa | U |
| LP107 | 11685000.00 | 13499681.03 | 25739.00 | 453.98 | 524.48 | M (4360.24 m2) | F-2 | Skokowa | R |
| LP113 | 72281756.60 | 74057723.57 | 49916.50 | 1448.05 | 1448.05 | M (11737.00 m2) | F-2 | Warszawa | U |
| LP122 | 2212520.91 | 2691987.73 | 1229.00 | 1800.26 | 2190.39 | S | O-1 | Czarnów | R |
| LP123 | 56910569.11 | 62448078.09 | - | - | - | L | M-3 | Toruń | U |

Figure 4.
An example of a Macro BIM model divided into grouped functions

Figure 5.
An example of a Macro BIM model divided by floors
Table 2.
Comparison of geometric values of reference objects compared to the sample (differences)
| Sample: | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| LP53 | 38 422.20 | L (7110.2 m2) | F - 3 | Warszawa | U | ||||
| reference objects (compared): | |||||||||
| ID | Building volume [m3] | Percentage of diff. of the volume criterion from the sample | Object size according to area [m2] (S/M/L) | Percentage of diff. of the surface criterion from the sample | Number of storeys (O/F/M) | The diff. in the number of storeys in relation to sample | Location | Location Type (Rural. Urban) | Characteristics of the place |
| LP3 | 37536.54 | 2.31 | L (6 166.40 m2) | 13.27 | F - 2 | diff.: 1 | Środa Śląska | U | urban |
| LP13 | 7244.94 | 81.14 | M (1269.67 m2) | 82.14 | F - 2 | diff.: 1 | Dopiewo | R | rural |
| LP103 | 45515.50 | 18.46 | L (11957.30 m2) | 68.17 | F - 3 | the same | Warszawa | U | same (the capital) |
| LP107 | 25739.00 | 33.01 | M (4360.24 m2) | 38.68 | F - 2 | diff.: 1 | Skokowa | R | rural |
| LP113 | 49916.50 | 29.92 | M (11737.00 m2) | 65.07 | F - 2 | diff.: 1 | Warszawa | U | same (the capital) |
| LP122 | 1229.00 | 96.80 | S | huge diff. | O - 1 | diff.: 2 | Czarnów | R | rural |
| Lp123 | - | - | L | - | M - 3 | the same | Toruń | U | urban |
Table 3.
Sorting by ranking according to the smallest differences for each 4 criteria. Analysis of the best (smallest) results in terms of volume and area values as well as the number of floors and location
| scale 1-6 | scale 1-6 | scale 1-3 | scale 1-3 | |||
|---|---|---|---|---|---|---|
| ID | Rank position (smallest diff.) by volume criterion | Rank position (smallest diff.) by area criterion | Ranking position of the number of storeys compliance | Location type compatibility ranking | volume and area criterion | The criterion of the number of storeys and location |
| LP3 | 1 | 1 | 2 | 2 | 2 | 4 |
| LP13 | 5 | 5 | 2 | 3 | 10 | 5 |
| LP103 | 2 | 4 | 1 | 1 | 6 | 2 |
| LP107 | 4 | 2 | 2 | 3 | 6 | 5 |
| LP113 | 3 | 3 | 2 | 1 | 6 | 3 |
| LP122 | 6 | 6 | 3 | 3 | 12 | 6 |
| LP123 | - | - | 1 | 2 | - | 3 |

Figure 6.
The two most similar Macro BIM models (LP3 and LP103) and the Macro BIM Sample model (LP53)
Table 4.
Basic data for calculations about the sample and reference objects
| sample: | |||||
|---|---|---|---|---|---|
| LP53 | 38 422.20 | L (7110.2 m2) | F - 3 | Warszawa | U |
| reference objects: | |||||
| ID | Building volume [m3] | Object size according to area [m2] (S/M/L) | Number of storeys (O/F/M) | Location | Location Type (Rural, Urban, Capital) |
| LP3 | 37 536.54 | L(6 166.40 m2) | F - 2 | Środa Śląska | U |
| LP13 | 7244.94 | M (1269.67 m2) | F - 2 | Dopiewo | R |
| LP103 | 45 515.50 | L (11957.3 m2) | F - 3 | Warszawa | C (same as sample) |
| LP107 | 25 739 | M (4360.24 m2) | F - 2 | Skokowa. gmina Prusice | R |
| LP113 | 49 916.50 | M (11737 m2) | F - 2 | Warszawa | C (same as sample) |
| LP122 | 1 229 | S * | O - 1 | Czarnów. Gmina Górzyca | R |
| LP123 | - | L | M - 3 | Toruń | U |
Table 5.
The notation of individual features and the resulting Euclidean distances for the objects (sample LP53 object – reference model indicated by ID)
| ID | Notation of individual features (vol.[m3], area [m2], encoded floors. encoded location) | Euclidean distance for the object | |
|---|---|---|---|
| LP53 | 38 422.2. 7 110.2. 0. 1. 0. 0. 0. 1 | (sample object) | |
| 1. | LP3 | 37 536.54. 6 166.40. 0. 1. 0. 0. 1. 0 | 1 294.27 |
| 2. | LP13 | 7244.94. 1269.67. 0. 1. 0. 1. 0. 0 | 31 719.60 |
| 3. | LP103 | 45 515.50. 11957.3. 0. 1. 0. 0. 0. 1 | 8 591.23 |
| 4. | LP107 | 25 739. 4360.24. 0. 1. 0. 1. 0. 0 | 15 434.16 |
| 5. | LP113 | 49 916.50. 11737. 0. 1. 0. 0. 0. 1 | 12 390.57 |
| 6. | LP122 | 1 229. 500. 1. 0. 0. 1. 0. 0 | 37 776.04 |
Table 6.
Values before normalization
| Volume | Area | Storeys | Location | |
|---|---|---|---|---|
| Sample | 38 422.20 | 7110.2 | 1 (3) | 1 |
| LP3 | 37 536.54 | 6 166.40 | 1 (2) | 0 |
| LP13 | 7244.94 | 1269.67 | 1 (2) | 0 |
| LP103 | 45 515.50 | 11957.3 | 1 (3) | 1 |
| LP107 | 25 739 | 4360.24 | 1 (2) | 0 |
| LP113 | 49 916.50 | 11737 | 1 (2) | 1 |
| LP122 | 1 229 | 500 | 0(1) | 0 |
Table 7.
Values after normalization
| Volume | Area | Storeys | Location | |
|---|---|---|---|---|
| Sample | 0.425208809 | 0.359952511 | 0.4082483 | 0.57735 |
| LP3 | 0.415407433 | 0.312172817 | 0.4082483 | 0 |
| LP13 | 0.080177926 | 0.0642768 | 0.4082483 | 0 |
| LP103 | 0.503708573 | 0.605336019 | 0.4082483 | 0.57735 |
| LP107 | 0.284847029 | 0.220736314 | 0.4082483 | 0 |
| LP113 | 0.552413332 | 0.594183374 | 0.4082483 | 0.57735 |
| LP122 | 0.013601033 | 0.025312404 | 0 | 0 |
Table 8.
Determining the importance of criteria – Matrix for weight calculations
| Volume | Area | Storeys | Location | |
|---|---|---|---|---|
| Volume | 1 | 2 | 3 | 3 |
| Area | 0.5 | 1 | 3 | 3 |
| Storeys | 0.333333 | 0.333333 | 1 | 0.5 |
| Location | 0.333333 | 0.333333 | 2 | 1 |
Table 9.
Application of the Manhattan Method on normalized values without taking into account weights. The table highlights the three best results
| Volume | Area | Storeys | Location | Distances | |
|---|---|---|---|---|---|
| LP3 | 0.009801376 | 0.047779694 | 0 | 0.57735 | 0.634931339 |
| LP13 | 0.345030883 | 0.295675711 | 0 | 0.57735 | 1.218056863 |
| LP103 | 0.078499764 | 0.245383508 | 0 | 0 | 0.323883272 |
| LP107 | 0.14036178 | 0.139216197 | 0 | 0.57735 | 0.856928246 |
| LP113 | 0.127204523 | 0.234230862 | 0 | 0 | 0.361435385 |
| LP122 | 0.411607775 | 0.334640107 | 0.4082483 | 0.57735 | 1.731846442 |
Table 10.
Application of the Manhattan Method on normalized values. including calculated weights. The table highlights the two best results
| Volume | Area | Storeys | Location | Distances | |
|---|---|---|---|---|---|
| LP3 | 0.004264398 | 0.014773838 | 0 | 0.086647 | 0.105685637 |
| LP13 | 0.150116583 | 0.091425135 | 0 | 0.086647 | 0.328189119 |
| LP103 | 0.034153802 | 0.075874411 | 0 | 0 | 0.110028213 |
| LP107 | 0.061068826 | 0.043046687 | 0 | 0.086647 | 0.190762913 |
| LP113 | 0.055344345 | 0.07242593 | 0 | 0 | 0.127770275 |
| LP122 | 0.179082963 | 0.103473217 | 0.0431246 | 0.086647 | 0.412328177 |
