A dynamic critical path method for project scheduling based on a generalised fuzzy similarity

Dajiang Liu and Changming Hu

Journal of the Operational Research Society, 2021, vol. 72, issue 2, 458-470

Abstract: According to the project non-repeatability and their implementation environment uncertainty, this paper aims to propose a new fuzzy node labelling method. The method, with a dynamic perspective, quickly provides the effective solutions of the critical path and total duration for projects, and fully considers the fact that critical paths may change in a fuzzy environment. The proposed method incorporates the fuzzy concept into the dynamic idea, which improves the objectivity and “accuracy” of the analysis. Meanwhile, vector integration similarity algorithm (VISA) achieves multiple generalized trapezoidal fuzzy numbers ordering by integrating the norm and direction similarities of fuzzy vectors. VISA demonstrates its superiority by analyzing typical examples. Since there is no need to consider nodes that have no direct precedence relation with source nodes, this method is particularly suitable for quickly identifying the critical path of fuzzy project networks with multiple time parameters and complex precedence relation.

Date: 2021
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DOI: 10.1080/01605682.2019.1671150

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