Completion assessment for multiple production system using Markov chain analysis

This research introduces a novel method for predicting project completion in construction by simulating and analyzing historical progress performance data through Markov Chain Analysis (MCA). This approach diverges from conventional regression analysis and quantitative risk analysis (QRA) via Monte Carlo simulation, which primarily emphasize modeling activity durations. Instead, the study evaluates progress by focusing on deliverables rather than activities, defining completion states instead of durations. The mutually exclusive states utilized are not-started (NS), work-in-process (WIP), and complete (OK). The method enables the application of MCA to determine when all deliverables achieve the absorbing state of completion, integrating confidence intervals and data discrimination criteria, while exhibiting satisfactory consistency in forecasting completion ranges.