Authors :
Abel J. Stephen
Volume/Issue :
Volume 9 - 2024, Issue 9 - September
Google Scholar :
https://tinyurl.com/bdh7fsdj
Scribd :
https://tinyurl.com/yk6uwn5c
DOI :
https://doi.org/10.38124/ijisrt/IJISRT24SEP164
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
Abstract :
This paper introduces a methodology for
advanced project duration estimation, integrating the
Program Evaluation and Review Technique (PERT) with
Monte Carlo simulation. It employs various distributions
— normal and beta — to enhance the accuracy of task
duration modeling based on initial three-point estimates.
This aproach refines these distributions, establishing a
robust mode while maintaining a consistent 90th-
percentile confidence level. The study illustrates the
feasibility of the implementation using accessible tools i.e.,
Google Sheets and Power BI, ensuring practicality in
project management. The conclusion underscores
improved accuracy and reliability in project duration
estimates, enhancing risk management and decision-
making throughout project execution.
Keywords :
Monte Carlo Simulation, PERT, Machine Learning, Artificial Intelligence, Probabilistic Modelling, Project Duration Estimation, Project Management.
References :
- Ballesteros-Pérez, P., Cerezo-Narváez, A., Otero-Mateo, M., Pastor-Fernández, A., Zhang, J., & Vanhoucke, M. (2020). Forecasting the project duration average and standard deviation from deterministic schedule information. Applied Sciences, 10(2), 654. DOI: 10.3390/app10020654
- Broadleaf Capital International Pty Ltd. (2014). Creating value from uncertainty. In Broadleaf (pp. 1–7). Broadleaf Capital International Pty Ltd. https://broadleaf.com.au/wp-content/uploads/2014/ 07/Beta-PERT-origins-2014-v2.pdf
- Datawithzon. (2023). How to connect Google Sheets with Power BI. Medium.
- Enterprise D.N.A. (2023). Power B.I. with R and RStudio: How to get started.
- Hernandez, F. (2021, January 5). Triangular Distribution vs Pert: Which is Best for Project Management? www.safran.com; Safran. https://www.safran.com/blog/triangular-distribution-vs-pert
- Johnson, D. (1997). The Triangular Distribution as a Proxy for Beta Distribution in Risk Analysis. The Statistician, 46(1997), 387–398. https://doi.org/ 10.1111/1467-9884.00091
- Karabulut, M. (2017). Application of Monte Carlo simulation and PERT/CPM techniques in the planning of construction projects: A case study. Periodicals of Engineering and Natural Sciences, 5(3), 408-420.
- Kerzner, H. (2017). Project management: A systems approach to planning, scheduling, and controlling. Wiley.
- Kissell, R., & Poserina, J. (2017). Chapter 4 - Advanced Math and Statistics. In Optimal Sports Math, Statistics, and Fantasy (pp. 103–135). Elsevier. https://www.sciencedirect.com/science/article/abs/pii/B9780128051634000049
- Malcolm, D. G., Roseboom, J. H., Clark, C. E., & Fazar, W. (1959). Application of a technique for research and development program evaluation. Operations Research, 7(5), 646-669.
- Meredith, J. R., & Mantel, S. J. (2019). Project management: A managerial approach. Wiley.
- Microsoft Fabric Community. (2023). How to connect Google Sheets to Power BI.
- Musa, J. D., Iannino, A., & Okumoto, K. (1989). Software reliability: Measurement, prediction, application. McGraw-Hill.
- Nieto-Rodriguez, A., & Vargas, R. V. (2023). How AI will transform project management. Harvard Business Review.
- P. Bertsekas, D., & N. Tsitsiklis., J. (2002). Introduction to Probability (Online, 2002, p. 140). Athena Scientific. https://archive.org/details/ introductiontopr0000bert/page/n7/mode/2up
- Springer. (2023). Hybrid human-AI forecasting for task duration estimation in project management.
- Theocharis, S. (2023). Dynamic AI project estimation. Towards AI.
This paper introduces a methodology for
advanced project duration estimation, integrating the
Program Evaluation and Review Technique (PERT) with
Monte Carlo simulation. It employs various distributions
— normal and beta — to enhance the accuracy of task
duration modeling based on initial three-point estimates.
This aproach refines these distributions, establishing a
robust mode while maintaining a consistent 90th-
percentile confidence level. The study illustrates the
feasibility of the implementation using accessible tools i.e.,
Google Sheets and Power BI, ensuring practicality in
project management. The conclusion underscores
improved accuracy and reliability in project duration
estimates, enhancing risk management and decision-
making throughout project execution.
Keywords :
Monte Carlo Simulation, PERT, Machine Learning, Artificial Intelligence, Probabilistic Modelling, Project Duration Estimation, Project Management.