Mathematical model for production sequencing in a manufacturing company

The objective of the research was to determine the optimal sequence of production of n jobs in m operations, in a small footwear manufacturing company with characteristics of a flow shop machine environment, which minimizes the total time of completion of jobs in the production system, makespan. A mathematical model of integer linear programming was designed, coded and solved by means of the JuliaPro software. It shows the production sequence that does not consider permutation, and minimizes makespan with 3807 minutes. The mathematical model of optimization is presented as a flexible and valuable tool for operational decision making, which could be replicated in other manufacturing companies, impacting on the improvement of costs and delivery times