Model and algorithm of furnace area production scheduling in slab hot rolling
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摘要: 鋼坯熱軋加熱爐區生產調度屬于組合優化中的NP-complete問題.本文根據加熱爐區生產特點建立了分別以生產能耗最小化和加熱質量最優化為主次目標的鋼坯加熱爐區調度數學模型,將其歸結為布爾可滿足性問題,構造了采用二進制編碼方式的遺傳禁忌搜索算法進行求解.基于實際生產數據的模擬優化結果表明,該模型和求解方法充分滿足了現場加熱爐區生產調度的需求,在滿足生產工藝約束的前提下,縮短了生產時間,提高了鋼坯入爐溫度和加熱質量,與傳統人工調度方法的結果相比具有更好的節能、高產效果.Abstract: A reheating furnace area scheduling problem in steel production has the NP-hard feature of a combinatorial optimization problem. A mathematical model of the scheduling problem was established according to the production features of the furnace area. Of the scheduling model, the first aim is to minimize the energy consumption cost and the second to optimize the heating quality, so the scheduling problem can be summed up as a Boolean satisfiability problem. A binary encoding method and a hybrid genetic-tabu search algorithm were proposed to solve the mathematical model. Simulation results based on practical data show that the mathematical model and the solution method fully satisfy the demand of furnace area production scheduling. Under the condition of meeting process constraints, the production time is reduced, the charging temperature is increased and the heating quality is improved. The mathematical model and the solution method have a better performance of high production and energy efficiency than the traditional manual scheduling method.
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Key words:
- heating furnaces /
- scheduling /
- mathematical models /
- genetic algorithms /
- tabu search
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