This study aims to apply the NSGA-II multi-objective evolutionary algorithm within a virtual construction project management framework to optimize time, cost, and quality tradeoffs for administrative and support activities. To this end, a multi-objective mathematical model was first formulated, and the performance of the proposed algorithm was validated by comparing it against the exact ϵ-constraint solution method. For operational evaluation, a real-world civil building case study was analyzed. Computational results revealed that the cumulative time spent on administrative processes in traditional management totaled 3,934,517 hours, whereas implementing the proposed virtual management model reduced this bureaucratic index to 12.22% of the baseline representing an 87.78% potential reduction in administrative lead time without directly impacting physical site construction duration. Financial analysis further indicates that cumulative traditional administrative costs amounted to 1,934,222,652 IRR, which was lowered to 273,510,000 IRR under virtual support management (14.14% of traditional administrative costs), reflecting an 85.86% reduction potential in administrative overhead. Overall, these findings demonstrate that virtual management when calibrated with localized input data and navigated along the Pareto front to balance competing objectives can significantly compress administrative timelines and costs, ultimately enhancing overall project workflow efficiency.