Application of Non-Linear Modelling with Uncertain Resource Limitations in the Optimization of Manufacturing and Production Dimensions Based on A Fuzzy Approach

Abstract

Abstract Currently, with regard to the increasing complexities in the industrial and organizational environments, the mathematical programming methods of the creation type used in the past do not meet the demands of the decision-makers of technical and managerial fields. As a result, making use of a combination of mathematical programming models and fuzzy set theory has led to creating further flexible methods and producing more reliable results for optimization problems. Thus, the main objective of applying the methods is to use the limited uncertainties in the decision-making model through the use of fuzzy logic. In the present article, a practical managerial case has been chosen to investigate how to obtain the optimum value for nonlinear programming problems using fuzzy techniques in models with uncertain resource constraints in the optimization of manufacturing and production dimensions. The modelling for this problem has led to creating a fuzzy nonlinear programming model and converting and solving it in the form of a particular model. Considering the findings of the optimum dimensions resulting from solving the converted fuzzy model in the manufacturing and production of a tool box ordered with the required constraints and conditions, it is clearly shown that the uncertain resource constraints have been suitably reflected in solving the problem, and the optimum solution has been obtained.