A Probabilistic Decision-Support Framework for Contract Duration Assessment in Repetitive Construction Projects Using Integrated Line of Balance and PERT

Authors

  • Yasser Aboelmagd Vice Dean, College of Engineering, University of Business & Technology (UBT), Jeddah, Saudi Arabia
  • Remon Eskander Engineering Programs Director, Field of Engineering, Alamein International University (AIU), New Al-Alamein City, Matrouh - Egypt
  • Omnia Darwish Construction engineering Department, Higher institute of engineering and technology – ElBheira, Egypt.

Keywords:

Repetitive Construction Projects, Program Evaluation and Review Technique, PERT Activity, Optimistic Duration, Pessimistic Duration, Most Likely Duration, Expected Duration, Critical Path, and Software

Abstract

Uncertainty in activity durations presents a major challenge to construction project management, particularly when assessing the probability of completing repetitive construction projects within contractual deadlines. To address this challenge, the present study develops an integrated computational framework that combines the Line of Balance (LOB) scheduling technique, accommodating both single-crew and multiple-crew configurations, with the probabilistic principles of the Program Evaluation and Review Technique (PERT). The proposed framework is implemented through a newly developed Java-based application, designated the Repetitive-Projects Evaluation and Review Technique (RPERT). By incorporating three-point duration estimates—optimistic, most likely and pessimistic—for recurring activities, RPERT enables planners to quantify expected project completion probabilities while maintaining compatibility with conventional scheduling calculations. The software architecture comprises four interconnected functional modules: user interface, database, execution and data processing. A comprehensive illustrative case study is employed to evaluate the proposed system, demonstrating its computational accuracy, practical feasibility and methodological validity. The findings establish RPERT as a reliable decision-support tool for incorporating duration uncertainty into repetitive construction scheduling and facilitating probability-based assessments of contractual completion targets.

Downloads

Download data is not yet available.

References

[1] Senses, S., & Kumral, M. (2024). Trade-off between time and cost in project planning: A simulation-based optimization approach. Simulation, 100(2), 127–143. https://doi.org/10.1177/00375497231196889

[2] Alvanchi, A., Lee, S., & AbouRizk, S. (2011). Modeling Framework and Architecture of Hybrid System Dynamics and Discrete Event Simulation for Construction. Computer-Aided Civil and Infrastructure Engineering, 26(2), 77-91. https://doi.org/10.1111/j.1467-8667.2010.00650.x

[3] Sadri, S., Fatemi Ghomi, S. M. T., & Dehghanian, A. (2024). Analysis of a time–cost trade-off in a resource-constrained GERT project scheduling problem using the Markov decision process. Annals of Operations Research, 338(1), 535–568. https://doi.org/10.1007/s10479-024-05896-8

[4] An, J., Li, S., & Wu, X. P. (2025). Multi-objective planning for time-cost trade-offs in multi-project parallel environment. Engineering, Construction and Architectural Management, 32(6), 4051–4073. https://doi.org/10.1108/ECAM-08-2023-0867

[5] Uncertain Time-Resource-Cost Trade-Off Models for Construction Project Schedule. (2021). KSCE Journal of Civil Engineering, 25(8), 2771–2778. https://doi.org/10.1007/s12205-021-1798-7

[6] Banerjee, A., & Paul, A. (2008). On path correlation and PERT bias. European Journal of Operational Research, 189(3), 1208-1216. https://doi.org/10.1016/j.ejor.2007.01.061

[7] Baradaran, S., Fatemi Ghomi, S. M. T., Mobini, M., & Hashemin, S. S. (2010). A hybrid scatter search approach for resource-constrained project scheduling problem in PERT-type networks. Advances in Engineering Software, 41(7), 966-975. https://doi.org/10.1016/j.advengsoft.2010.05.010

[8] Cagle, R. B. (2003). Blueprint for Project Recovery--A Project Management Guide. AMACOM. https://books.google.com.pk/books?id=Fp7FCnW7daAC

[9] Castro, J., Gómez, D., & Tejada, J. (2008). A polynomial rule for the problem of sharing delay costs in PERT networks. Computers & Operations Research, 35(7), 2376-2387. https://doi.org/10.1016/j.cor.2006.11.003

[10] Cao, Q., Zou, X., & Zhang, L. (2022). Multiobjective robust optimization model for generating stable and makespan-protective repetitive schedules. Journal of Construction Engineering and Management, 148(9). https://doi.org/10.1061/(ASCE)CO.1943-7862.0002348

[11] Chrétienne, P., & Sourd, F. (2003). PERT scheduling with convex cost functions. Theoretical Computer Science, 292(1), 145-164. https://doi.org/10.1016/S0304-3975(01)00220-1

[12] Cottrell Wayne, D. (1999). Simplified Program Evaluation and Review Technique (PERT). Journal of Construction Engineering and Management, 125(1), 16-22. https://doi.org/10.1061/(ASCE)0733-9364(1999)125:1(16)

[13] Faghihi, V., Reinschmidt, K. F., & Kang, J. H. (2014). Construction scheduling using Genetic Algorithm based on Building Information Model. Expert Systems with Applications, 41(16), 7565-7578. https://doi.org/10.1016/j.eswa.2014.05.047

[14] Long, L. D. (2024). A non-unit repetitive construction project scheduling with uncertainties. Automation in Construction, 164, 105428. https://doi.org/10.1016/j.autcon.2024.105428

[15] Frame, J. D. (2002). The New Project Management: Tools for an Age of Rapid Change, Complexity, and Other Business Realities. Wiley. https://books.google.com.pk/books?id=ZOG2mr6qJ_sC

[16] GINZBURG, D. (1988). On the distribution of activity time in PERT. The Journal of the Operational Research Society, 39(8), 767-771. https://cir.nii.ac.jp/crid/1570572701408130944

[17] Gondia, A., Siam, A., El-Dakhakhni, W., & Nassar Ayman, H. (2020). Machine Learning Algorithms for Construction Projects Delay Risk Prediction. Journal of Construction Engineering and Management, 146(1), 04019085. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001736

[18] Haga, W. A., & Marold, K. A. (2004). A simulation approach to the PERT/CPM time-cost trade-off problem. Project Management Journal, 35(2), 31–37. https://doi.org/10.1177/875697280403500205

[19] Haga, W. A., & Marold, K. A. (2004). A Simulation Approach to the PERT/CPM Time-Cost Trade-Off Problem. Project Management Journal, 35(2), 31-37. https://doi.org/10.1177/875697280403500205

[20] Haga, W. A., & O'Keefe, T. (2001, July 12–14). Crashing PERT networks: A simulation approach [Conference paper]. 4th International Conference of the Academy of Business and Administrative Sciences, Quebec City, Canada. https://www.inf.ufsc.br/~joao.dovicchi/pos-ed/pos/gerti/artigos/Haga_CrashPertNet.pdf,

[21] Kantianis, D. D. (2023). Construction project crashing with uncertain correlated normal and crash task durations and costs: An integrated stochastic practical approach. European Project Management Journal, 13(1), 3–22. https://doi.org/10.56889/pdsd6032

[22] Hajdu, M., & Bokor, O. (2014). The effects of different activity distributions on project duration in PERT networks. Procedia-Social and Behavioral Sciences, 119(19), 766-775. https://doi.org/10.1016/j.sbspro.2014.03.086

[23] Herrerı´as-Velasco, J. M., Herrerı´as-Pleguezuelo, R., & van Dorp, J. R. (2011). Revisiting the PERT mean and variance. European Journal of Operational Research, 210(2), 448-451. https://doi.org/10.1016/j.ejor.2010.08.014

[24] Khan, H. (2002). Exemplary program evaluation and review technique (expert) using projects. 32nd Annual Frontiers in Education,

[25] Lu, M., & AbouRizk, S. M. (2000). Simplified CPM/PERT Simulation Model. Journal of Construction Engineering and Management, 126(3), 219-226. https://doi.org/10.1061/(ASCE)0733-9364(2000)126:3(219)

[26] Mehrotra, K., Chai, J., & Pillutla, S. (1996). A study of approximating the moments of the job completion time in PERT networks. Journal of Operations Management, 14(3), 277-289. https://doi.org/10.1016/0272-6963(96)00002-2

[27] Mouhoub, N. E., Benhocine, A., & Belouadah, H. (2011). A new method for constructing a minimal PERT network. Applied Mathematical Modelling, 35(9), 4575-4588. https://doi.org/10.1016/j.apm.2011.03.031

[28] Nowpada, R. S., & Veeramachaneni, V. S. (2009). An Approximation for the activity duration distribution, supporting original PERT. Applied Mathematical Sciences, 3(57), 2823-2834. https://www.m-hikari.com/ams/ams-password-2009/ams-password57-60-2009/ravishankarAMS57-60-2009.pdf

[29] Turkoglu, H., Arditi, D., & Polat, G. (2024). Augmented time–cost trade-off optimization using particle swarm optimization. Journal of Construction Engineering and Management, 150(5). https://doi.org/10.1061/JCEMD4.COENG-14314

[30] Pontrandolfo, P. (2000). Project duration in stochastic networks by the PERT-path technique. International Journal of Project Management, 18(3), 215-222. https://doi.org/10.1016/S0263-7863(99)00015-0

[31] Premachandra, I. M. (2001). An approximation of the activity duration distribution in PERT. Computers & Operations Research, 28(5), 443-452. https://doi.org/10.1016/S0305-0548(99)00129-X

[32] Project scheduling cost optimization based on resource transfer costs and robustness. (2024). Computers & Operations Research, 161, 106445. https://doi.org/10.1016/j.cor.2023.106445

[33] Seal, K. C. (2001). A generalized PERT/CPM implementation in a spreadsheet. INFORMS Transactions on Education, 2(1), 16-26. https://doi.org/10.1287/ited.2.1.16

[34] Tagore, R. (2007). Permutation and combinations approach to program evaluation and review technique. ARPN Journal of Engineering and Applied Sciences, 2(6), 20-26. Here is the shorter, direct publisher link:

https://www.arpnjournals.com/jeas/research_papers/rp_2007/jeas_1207_71.pdf

[35] Tran, D.-H., Cheng, M.-Y., & Prayogo, D. (2016). A novel Multiple Objective Symbiotic Organisms Search (MOSOS) for time–cost–labor utilization tradeoff problem. Knowledge-Based Systems, 94, 132-145. https://doi.org/10.1016/j.knosys.2015.11.016

[36] Trietsch, D., & Baker, K. R. (2012). PERT 21: Fitting PERT/CPM for use in the 21st century. International Journal of Project Management, 30(4), 490-502. https://doi.org/10.1016/j.ijproman.2011.09.004

[37] Wenying, L., & Xiaojun, L. (2011). Progress Risk Assessment for Spliced Network of Engineering Project Based on Improved PERT. Systems Engineering Procedia, 1, 271-278. https://doi.org/10.1016/j.sepro.2011.08.042

[38] Williams, F. E. (2005). PERT completion times revisited. INFORMS Transactions on Education, 6(1), 21-34. https://doi.org/10.1287/ited.6.1.21

[39] Xiangxing, K., Xuan, Z., & Zhenting, H. (2010). Markov skeleton process in PERT networks. Acta Mathematica Scientia, 30(5), 1440-1448. https://doi.org/10.1016/S0252-9602(10)60136-1

[40] A crashing-based time-cost trade-off model considering quality cost and contract clauses. (2021). International Journal of Construction Management. https://doi.org/10.1080/15623599.2021.1946899

[41] Yaseen, Z. M., Ali, Z. H., Salih, S. Q., & Al-Ansari, N. (2020). Prediction of Risk Delay in Construction Projects Using a Hybrid Artificial Intelligence Model. Sustainability, 12(4), 1514. https://doi.org/10.3390/su12041514

[42] Yudistira, I. G. A. A., Nariswari, R., Arifin, S., Abdillah, A. A., Prasetyo, P. W., & Susyanto, N. (2024). Program Evaluation and Review Technique (PERT) Analysis to Predict Completion Time and Project Risk Using Discrete Event System Simulation Method. International Journal of Construction Management, 18(1), 67-76. https://doi.org/10.21512/commit.v18i1.8495

[43] Zhong Deng, H., & Zhang Jian, S. (2003). New Method for Calculating Path Float in Program Evaluation and Review Technique (PERT). Journal of Construction Engineering and Management, 129(5), 501-506. https://doi.org/10.1061/(ASCE)0733-9364(2003)129:5(501)

Downloads

Published

2026-06-30

How to Cite

Yasser Aboelmagd, Remon Eskander, & Omnia Darwish. (2026). A Probabilistic Decision-Support Framework for Contract Duration Assessment in Repetitive Construction Projects Using Integrated Line of Balance and PERT. Decision Making: Applications in Management and Engineering, 9(1), 497–519. Retrieved from http://www.dmame-journal.org/index.php/dmame/article/view/1881