Abstract: Purpose. This study consists in providing mathematical tools for monitoring the construction work of a school building in Banfora, Burkina Faso.
Methods. PERT/CPM, probabilistic PERT and fuzzy PERT were used to resolve the operational planning issue. Job durations were obtained from optimistic, likely, pessimistic estimates of these durations. The beta distribution was considered for the stochastic case and the random job durations were considered independent. For the fuzzy case, the fuzzy job durations were considered non-interactive.
Results. With PERT, the results allowed to have the minimum total duration of the project, the critical path, the critical tasks, the total margins and free margins of tasks.
With probabilistic PERT, probability calculations allowed for 90%, 95% and 99% confidence intervals and the probability of meeting the minimum total duration of 30.5%.
With fuzzy PERT, the calculations allowed to have the fuzzy number corresponding to the minimum total duration.
Conclusion. The results obtained show that the three approaches are complementary in a problem of operational planning and monitoring of works such as the case of building construction.
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Keywords and phrases: PERT method, fuzzy set, fuzzy number, uncertain job duration, central scheduling problem.
Received: May 18, 2023; Accepted: July 4, 2023; Published: February 19, 2024
How to cite this article: YOUGBARE Wendpanga Jacob, SORY Boureima and ZONGO Moumouni, Comparative analysis with the PERT method: times certain vs uncertain, Advances and Applications in Discrete Mathematics 41(2) (2024), 115-134. http://dx.doi.org/10.17654/0974165824008
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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