Project delivery within the established time line and project cost is one of the persistent issues in current project management practices. This work therefore aimed at assessing the appropriateness of Project Evaluation Review Technique and Critical Path Method in project management with a case study of a UNN lecture hall construction. Consequently, the research establishes the impact of these quantitative operations research tools on the efficient project management. Both of these project management techniques were explained and used in relation to the data that was obtained from the lecture hall construction project manager, concerning the project activities and the time taken for each of these activities. As indicated by the findings of this study, both the methods were posited to achieve success in project management where by relationship and connectivity of the activities that define a project life cycle persist as the key issues. As such, it was suggested that in view of the project critical activities determined by the CPM and/or PERT analyses, more resources and attention should be directed towards effective management of such activities to avoid the occasion of project delay as well as ensure the successful completion of projects.
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