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J4 ›› 2010, Vol. 45 ›› Issue (1): 73-79.

• 论文 • 上一篇    下一篇

具有分解结构的多目的批处理过程短期调度模型

丁然 李歧强 梁涛   

  1. 山东大学控制科学与工程学院, 山东 济南 250061
  • 收稿日期:2009-07-15 出版日期:2010-01-16 发布日期:2010-03-25
  • 作者简介:丁然(1974-),女,副教授,博士,主要研究方向为优化调度、复杂系统建模等. Email: dingrr@sdu.edu.cn
  • 基金资助:

    山东省优秀中青年科学家奖励基金资助项目(2007BS05014;2008BS01012);高技术研究发展计划(863计划)资助项目(2007AA04Z157)

Short-term scheduling formulation with decomposition structurefor multi-purpose batch plants

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2009-07-15 Online:2010-01-16 Published:2010-03-25

摘要:

针对多目的批处理过程的短期调度问题,分析了基于设备独立事件触发的建模方法在描述存储过程的特点及局限性,建立了存储的时间函数来准确描述存储状态,并以此为基础,在不额外增加变量的情况下,建立了一种新的具有分解结构的调度模型,该模型由两个层次的优化问题构成。设计了基于分解的遗传算法求解模型。针对主要由处理任务的时间顺序约束和存储容量约束构成的子问题,通过松弛,给出了简单的递推算法求得最优解或近优解,然后返回主问题,采用遗传算法,使得搜索空间大为减小。仿真实例说明了模型和算法的有效性。

关键词: 批处理;分解;存储;事件触发;松弛;遗传算法

Abstract:

For the short-term scheduling of multipurpose batch process, unit-specific event-driven formulation needs many additional variables to subscribe storage, orelse it would lose some good results. To resolve this problem, a novel event-driven formulation is presented. In this model, the storage state is formulated asa time function using the existent variables, which can exactly reflect the storage state, and the dimension of the model would not be enlarged. The new model has a typical decomposition structure, which consists of two levels of optimization problems. Then a composition algorithm is proposed. Because the sub-problem mainly consists of time consequence constraints and storage constraints by relaxing, a simple algorithm based on simple deduction is given to obtain the optimalor sub-optimal solution. Using the returned solution, the master problem couldbe resolved by a genetic algorithm. So the searching space is greatly reduced. The application of the model is illustrated through two example problems, which also reflects the validity of the algorithm.

Key words: batch process; decomposition; storage; event-driven; relaxation; genetic algorithm

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