With the rapid increase of complexity in the building industry, professionals in the A\/E\/C industry were forced to adopt Building Information Modeling (BIM) in order to enhance the communication between the different project stakeholders throughout the project life cycle and create a semantic object-oriented building model that can support geometric-topological analysis of building elements during design and construction. This paper presents a model that extracts topological relationships and geometrical properties of building elements from an existing fully designed BIM, and maps this information into a directed acyclic Elemental Graph Data Model (EGDM). The model incorporates BIM-based search algorithms for automatic deduction of geometrical data and topological relationships for each building element type. Using graph search algorithms, such as Depth First Search (DFS) and topological sortings, all possible construction sequences can be generated and compared against production and construction rules to generate an optimized construction sequence and its associated schedule. The model is implemented in a C# platform.<\/p>\r\n","references":"[1]\tE. Krygiel, N. Nie and S. McDowell, Green BIM: Successful Sustainable Design with Building Information Modeling, Wiley Publishing, Indianapolis, USA, 2008. \r\n[2]\tT.-H. Nguyen, A. A. Oloufa and K. Nassar, \"Algorithms for automated deduction of topological information,\" Automation in Construction, pp. 59-70, 2005. \r\n[3]\tA. Khalili, An IFC-based Framework for Optimizing Level of Prefabrication in Industrialized Building Systems (PhD Thesis), Department of Civil and Environmental Engineering, National University of Singapore, 2013. \r\n[4]\tA. Borrmann and E. Rank, \"Topological analysis of 3D building models using a spatial query language,\" Advanced Engineering Informatics, pp. 370-385, 2009. \r\n[5]\tB. Hardin, BIM and Construction Management: Proven Tools, Methods, and Workflows, Sybex, 2009. \r\n[6]\tU. G. S. A. The National 3D-4D-BIM Program, \"GSA Building Information Modeling Guide Series 01 \u2013 Overview (Version 0.6),\" U.S. General Services Administration, Washington, DC, 2007.\r\n[7]\tK. Parvan, Estimating the Impact of Building Information Modeling (BIM) Utilization on Building Project Performance (PhD Thesis), Graduate School, University of Maryland, USA, 2012. \r\n[8]\tC. Langenhan, M. Weber, M. Liwicki, F. Petzold and A. Dengel, \"Graph-based retrieval of building information models for supporting the early design stages,\" Advanced Engineering Informatics, pp. 413-426, 2013. \r\n[9]\tA. M. Montaser, Value Engineering Using Building Information Modeling (M.Sc. Thesis), Faculty of Engineering, Ain Shams University, Cairo, Egypt, 2015. \r\n[10]\tG. Wei, Z. Ping and C. Jun, \"Topological Data Modelling for 3D GIS,\" ISPRS Commission IV Symposium on GIS - Between Visions and Applications, vol. 32, no. 4, pp. 657-661, 1998. \r\n[11]\tR. O. Tse and C. Gold, \"A Proposed Connectivity-Based Model for a 3-D Cadastre,\" Computers, Environment and Urban Systems (Elsevier), vol. 27, p. 427\u2013445, 2003. \r\n[12]\tG. Suter and A. Mahdavi, \"Elements of a Representation Framework for Performance-Based Design,\" Building and Environment (Elsevier), vol. 39, pp. 969-988, 2004. \r\n[13]\tN. Paul and A. Borrmann, \"Geometrical and Topological Approaches in Building Information Modelling,\" Journal of Information Technology in Construction (ITcon), vol. 14, pp. 705-723, 2009. \r\n[14]\tE. Grabska, A. Lachwa and G. Slusarczyk, \"New visual languages supporting design of multi-storey buildings,\" Advanced Engineering Informatics, pp. 681-690, 2012. \r\n[15]\tL. Pl\u00fcmer and G. Gr\u00f6ger, \"Nested Maps - A Formal, Provably Correct Object Model for Spatial Aggregates,\" Proceedings of the 4th ACM International Workshop on Advanced Geographic Information Systems (ACM Association for Computing Machinery), pp. 76-83, 1996. \r\n[16]\tF. Lamarche and S. Donikian, \"Crowd of Virtual Humans: a New Approach for Real Time Navigation in Complex and Structured Environments,\" Eurographics, vol. 23, no. 3, pp. 509-518, 2004. \r\n[17]\tG. Franz, H. A. Mallot and J. M. Wiener, \"Graph-based models of space in architecture and cognitive science - a comparative analysis,\" Proceedings of INTERSYMP-2005, 17th International Conference on Systems Research, Informatics and Cybernetics (Architecture, Engineering and Construction (AEC) of Built Environments), 1-7 August 2005. \r\n[18]\tC. van Treeck and E. Rank, \"Dimensional reduction of 3D building models using graph theory and its application in building energy simulation,\" Engineering with, no. 23, pp. 109-122, 2007. \r\n[19]\tJ. Lee and M.-P. Kwan, \"A combinatorial data model for representing topological relations among 3D geographical features in micro-spatial environments,\" International Journal of Geographical Information Science, no. 19, pp. 1039 - 1056, 2005. \r\n[20]\tAutodesk Revit, \"Autodesk Revit 2016 | Help - About Revit,\" 2017. (Online). Available: http:\/\/help.autodesk.com\/view\/RVT\/2016\/ENU\/?guid=GUID-D8835F8E-1330-4DBC-8A55-AF5941056C58. (Accessed 25 02 2017).\r\n[21]\tMicrosoft, \"Coding Made Easy: C#,\" (Online). Available: http:\/\/www.microsoft.com\/en-us\/store\/p\/coding-made-easy-c\/9nblggh4pzql. (Accessed 24 3 2017).","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 126, 2017"}