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.