Integrated Temporal-Spatial Model for Construction Plans with Boolean Logic Operators

This paper presents a novel construction project planning model that allows more-efficient and more-realistic planning than current methods. Unlike scheduling methods such as the critical path method (CPM), the proposed model represents spatial entities on the construction site, such as work areas and safety buffers. The model uses Boolean operators to allow the codification of the actual constraints that guide construction projects and to create a single integrated temporal-spatial model. Singularity functions are used for the mathematical definition of the constructs and their relationships, providing a flexible modeling framework. The model is implemented in a real-world case study with input data from building information modeling, demonstrating its feasibility and usefulness.