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Numerical Optimization Approach for Solving Production Planning Problem Using Python language

. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, (2022)

Abstract

Optimization Technique aims to find the best possible option that meet all the imposed constraints. In fact, the goal in this paper is to find the best values for the decision variables for various inventory systems in order to maximize net profit by the field of numerical optimization for linear programming using software. Besides, the optimize procedure was applied on the production planning problem (vegetable oil production Problem) models in many methods which is equations and objective, dense matrices and sparse matrices. The optimization was implemented within the Python by GEKKO package. Finally, the numerical results of the techniques used showed a strong convergence in calculating the amount of profit and production lines, which indicates their efficiency and accuracy in obtaining optimal solutions.

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