Project Management Institute

Fuzzy operations and petri nets

techniques for resource substitution in projects

This paper discusses the linguistic labels that an expert would use to describe the effects of different types of resource substitutions and shows how a simple fuzzy aggregation method can be used to assess the net effect of the substitutions. A Petri net model, which can accommodate multiple resources and dynamically generate activity schedules taking into consideration resource availability and substitution, is used for illustration. The simple example presented brings out the usefulness of fuzzy operations and Petri net techniques for real-time project activity scheduling by monitoring quantity and quality of multiple resources in a resource-constrained project environment. The methodology can be equally effectively extended to incorporate other external factors such as weather conditions, changes in work specifications, changed conditions in contracts and cash flow.
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