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You are here: Mathematical Framework for Spatial Relationships of the Project 3D ElementsEdited on: 2017-02-16

Mathematical Framework for Spatial Relationships of the Project 3D Elements:

Faghihi, V.; Reinschmidt, K.; and Kang, J. () "Mathematical Framework for Spatial Relationships of the Project 3D Elements"

Mathematical Framework for Spatial Relationships of the Project 3D Elements

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Having a project schedule is a necessary part of the process of running a well-organized construction project. A critical step toward having that kind of project schedule is defining a complete and logical relational diagram of all the project elements. In a construction project, all of the project elements are supposed to be built to achieve the final outcome, the building itself. These elements should also have a logical relation to each other in addition to considering the structural stability of the facility both locally and globally. Finding and determining these relations could be problematic, especially when the project planner does not have enough knowledge of processes and constructability. One way to tackle this problem is to use the information embedded in Building Information Model (BIM) of the project. To develop automatic project schedule generation, the primary goal of this research, a metric is needed to check the wellness of the structural stability construction sequence of those schedules. This metric is the logical structural relationships between elements that should be met to satisfy the mentioned objective. These relationships are retrieved from the 3D geometric data carried in the standard Industry Foundation Class Format (IFC) files and are stores as a directed Design Structure Matrix (DSM). This directed DSM is a computer-friendly (the matrix only consists of zeros and ones) mathematical representation of the relationship network. Using the outcome of this research, one can develop several non-unique project schedules by having only the BIM of the project .

Keywords: Mathematical Framework, Stability Relations, Building Information Model, Construction Project Schedule


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