考虑柔性机器检修的钢管热轧批量调度方法
Methods of hot-rolled batch scheduling for seamless steel tube with flexible machine maintenance

本文从无缝钢管生产管理中提取并定义了周期性机器柔性检修环境下的钢管热轧批量调度问题，针对无缝钢管热轧阶段的生产特点，将其抽象为一类考虑序列相关设置成本和机器柔性检修的单机调度问题，建立了以最小化机器闲置时间和机器调整时间为优化目标的数学模型。分析闲置时间和检修时点的关系，证明了闲置时间最小化性质，结合问题特征设计了两阶段启发式算法。算法第一阶段采用最小轧机调整时间规则获取具有最小机器调整时间的初始批量轧制序列，第二阶段对初始轧制序列进行全局寻优搜索。基于实际生产数据设计了多种问题规模的对比实验，实验结果表明模型和算法对求解该类问题具有较好效果。
A hot-rolled batch scheduling problem with periodic machine maintenance for steel tube was extracted and defined from the production management of seamless steel tube. According to the characteristic of the hot-rolled process, this problem was abstracted into a single machine scheduling problem with sequence-dependent setup cost and flexible machine maintenance, and a mathematical model was built with the objectives to minimize idle time and adjustment time of the machine. By analyzing the relationship between the idle time and the location of the maintenance, a property with respect to the idle time minimization was given. A two-stage heuristic algorithm was presented based on this property and other characteristics of the problem. At the first stage of the algorithm, a rule to minimize the rolling mill setup times was used, and the initial sequence with the smallest machine adjustment time was produced. At the second stage, a global optimization search was performed based on this initial rolling sequence to optimize the overall goal value. With the actual production data, computational experiment were carried out on the problems with various problem size, and experimental results showed that the model and algorithm had obvious effect on solving this problem