Fuzzy activity times in critical path and project crashing problems

Program Evaluation and Review Technique (PERT) is extensively used in research and development projects. Closely associated with PERT is the problem of resource utilization to reduce project duration time. This article develops solution procedures for the critical path and the project crashing problems with fuzzy activity times in project planning. The idea is based on Yager's method to change the fuzzy formulation of the problem to a crisp problem. Due to the special structure of the project network, the conventional streamlined methods can be applied to find an optimal solution. The derived fuzzy completion time of the project indicates not only the most likely value, but also the range in which the completion time will appear. With the method proposed in this article, more information is provided for the project manager to make decisions.