Universal Model for Performance and Delay Tracking of Linear Construction Schedules

Project delays are pervasive in construction projects, frequently causing significant financial, operational, and contractual challenges for all stakeholders involved. Despite the existence of many delay analysis methods, very few are used in practice due to their limiting assumptions, as well as their overly simplistic (generally network-based) schedule inputs. This paper introduces a universal model to track work performance and project delays in linear construction schedules. The model leverages singularity functions to provide a mathematical quantification and graphical representation of delays, enabling real-time tracking and liability allocation. Capabilities of the model are demonstrated through its application to a series of varied performance scenarios and a representative realistic case study. This work contributes to the body of knowledge by offering a structured representation for delay analysis, capable of handling complex relationships within and between activities in dynamic project environments while facilitating computer calculations.