Utilização de modelagem matemática para a designação simultânea de tarefas à funcionários e máquinas

Abstract

Companies face increasing challenges in terms of operational efficiency, especially where the availability of resources, such as machines, raw materials and personnel, is limited. The overload of activities and the emergence of unplanned tasks often result Companies face increasing challenges in terms of operational efficiency, especially when the availability of resources such as machines, raw materials, and personnel is limited. The overload of activities and the emergence of unplanned tasks often result in missed deadlines, in addition to requiring constant replanning and rescheduling. Developing a mathematical model to support task distribution can be an effective solution to balance available resources and optimize workflow.This work aims to create a mathematical model that considers multiple factors: processing time, machines, raw materials, and the qualifications required for employees and machines to perform each task. The complexity of tasks is based on the time needed to complete them and the dependence on other employees, while the capacity of each employee is measured by their ability to perform the task.Mathematical modeling techniques and adaptations are applied, with software implementation, to simulate company scenarios using fictitious data. To validate the model, tests are carried out in different scenarios, allowing the model’s accuracy to be evaluated.The model proved to be efficient, ensuring consistency in task assignment, compliance with operational constraints, and better use of available resources, which reinforces its applicability in scenarios that demand greater control and efficiency in planning.