The Longest Path Problem in Fuzzy Project Networks: A Case Study

In This article a real-life international construction and building project network problem is presented, the problem of identifying the critical path of the project within fuzzy parameters (the longest path) is formulated by applying a linear programming approach which incorporates the concept of α-cuts into two (primal and dual) models. In order to determine the solution a code was developed to solve 22 linear programming models that had been constructed at different α-cuts during formulation. Yager’s ranking method is applied to compare all paths, and determining the time of the longest one.