Abstract: Steelmaking-Continuous Casting production（SM-CC） scheduling can be abstracted as a hybrid flow shop scheduling problem.A 0-1 mixed-integer linear programming model is established and solved by a combined genetic algorithm and linear programming approach.The model can satisfy the temperature requirement by optimizing the transport and wait time，coordinate the continuous casting and hot rolling production by minimizing the weighted sum of deviation penalties of the cast starting time.In the algorithm design，a new chromosome encoding is used to represent the charge assignment and processing sequence solution，and genetic operations are given for this coding scheme.Finally，the result of simulation experiment indicates that it is an efficient algorithm for this production scheduling problem.

Key words: production scheduling, steelmaking-continuous casting, genetic algorithm, mathematical programming

摘要： 将炼钢连铸生产调度问题抽象为混和流水车间调度，建立了0-1型混合整数线性规划模型，并提出了一种遗传和线性规划相结合的求解方法。该模型通过优化钢水传搁时间来满足钢水的温度要求，通过最小化浇次开浇提前/拖期惩罚来协调连铸与热轧间的生产节奏。在算法设计中，给出了一种染色体编码来表示炉次设备指派与炉次在设备上的加工顺序方案，并探讨了相应的遗传操作。最后，仿真实验的结果表明了该算法的有效性。

关键词: 生产调度, 炼钢连铸, 遗传算法, 数学规划