A Fuzzy Overlapping Project Resource Optimization Model in the Project Construction Industry with a Fractal Approach

When the number of projects in a company increases, it becomes very important to choose the right strategy to supply resources and raw materials in profit and loss and finish the work according to the schedule. This study presents a new mathematical model using the fractal method to optimize the resource planning system in project-oriented construction and industrial companies, and the results are analyzed. In the model proposed in this research, a fuzzy method and an overlapping method are used. Using the method of Pentagonal fuzzy numbers in determining the appropriate number of resources for project activities, as well as using a method of overlapping activities to determine the appropriate time of overlapping activities will lead to optimal use of project resources. This article aims to introduce a fuzzy overlapping project resource optimization (FOPRO) model in project-oriented construction and industrial companies by providing a fractal framework to minimize resource costs and the smooth flow of materials between projects to meet the existing demand. Assuming three levels of headquarters, regions, and projects, each of them in the collection is a self-similar structure defined as a fractal. The study was carried out in one of the contracting companies in the industrial and construction fields, which operates as a project-oriented project in different regions of the country. To evaluate the proposed model, the obtained results were compared with the results of previous models. The results showed that the model presented in this research was able to create optimization in terms of sending machines, material and manpower between different centers.