Affiliations: University of Science and Technology Liaoning, Anshan, Liaoning, China
Correspondence:
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Corresponding author: Liangxu Sun, University of Science and Technology Liaoning, Anshan, Liaoning, China. E-mail:sunliangxumail@163.com
Abstract: The gas distribution problem is an important and complex
problem for the production in the iron and steel enterprises. To solve the
problem, it is very important to establish the mathematical model and find
solution method for the model. The characteristic of the gas distribution in
the production of iron and steel is dynamic, discrete and continuous, which
leads to have to do a lot of work to establish a mathematical model with a
high dimension. The paper proposes a mixed integer programming mathematical
model. The model takes minimizing the cost sum as the objective including
the gas emission cost, the operation cost and electricity generation
benefit. It also defines the discrete and continuous variables and constrain
conditions according to the complex gas applied characteristics related to
main process demand, gas holder level, boiler burner switching, synthesis
process and cross process. The model is solved by the IBM ILOG CPlex
Optimizer software tools with the actual production data in the different
time periods. By comparing and analyzing the optimized distribution with
actual distribution, the proposed mathematical model is more in accordance
with the actual gas applied characteristics. When the fluctuation of gas
holder level is smaller, the gas holder level tends to be the center, the
gas emission is zero, and the total cost is minimized. According to this
solution, the gas distribution effect can meet the demands of stability,
security and economy of gas distribution in the actual iron and steel
production.
Keywords: Iron and steel, gas distribution, mixed integer programming, optimization
