Fuzzy Optimization Model for Decision-Making in Single Machine Construction Project Planning

Nilthon Arce Fernández (), Flabio Gutiérrez Segura, Manuel Emilio Milla Pino, Jose Manuel Palomino Ojeda, Alfredo Lázaro Ludeña Gutiérrez and River Chávez Santos
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Nilthon Arce Fernández: Academic Department of Basic and Applied Sciences, Universidad Nacional de Jaén, Jaén 06800, Peru
Flabio Gutiérrez Segura: Mathematics Department, Faculty of Science, Universidad Nacional de Piura, Castilla, Piura 20002, Peru
Manuel Emilio Milla Pino: Department of Civil Engineering, Faculty of Engineering, Universidad Nacional de Jaén, Jaén 06800, Peru
Jose Manuel Palomino Ojeda: Data Science Research Institute, Universidad Nacional de Jaén, Jaén 06800, Peru
Alfredo Lázaro Ludeña Gutiérrez: Research Office, Universidad Nacional de Jaén, Jaén 06800, Peru
River Chávez Santos: Academic Department of Education, Communication Sciences and Basic Sciences, Faculty of Education and Communication Sciences, Universidad Nacional Toribio Rodríguez de Mendoza de Amazonas, Chachapoyas 01001, Peru

Mathematics, 2024, vol. 12, issue 7, 1-18

Abstract: Scheduling for a construction project with a limited number of machines is a critical and well-studied problem. Most studies assume that task processing times are exact; in practice, delays frequently occur, rendering the initial work plan invalid. Therefore, adaptability is crucial to the success of a project. This work introduces a fuzzy optimization model for the planning of construction projects executed simultaneously and having only one backhoe. The model assumes imprecise task processing times, represented by triangular fuzzy sets, that accept delays up to a permitted degree of tolerance. The model solution obtains a fuzzy work plan. This is a robust plan that supports incidents (delays). A method to apply the model was created. The fuzzy model can help construction companies reduce delays in the delivery of their projects and avoid excessive penalties. The model was implemented in the CPLEX solver, which can quickly obtain an optimal solution for small and medium instances. For large instances, the model must be solved with metaheuristics. This scientific contribution is important for future work since it consists of the application of fuzzy optimization in a specific area of civil engineering.

Keywords: construction project; fuzzy optimization; fuzzy sets; penalties; single-machine task scheduling; decision-making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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