Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (11): 229-232.

• 工程与应用 • Previous Articles     Next Articles

Cyclic approach for capacitated lot scheduling problem and its PSO-based algorithm

SHI Cantao1,2,WANG Wenpeng3,LI Tieke1,2   

  1. 1.School of Economics and Management,University of Science and Technology Beijing,Beijing 100083,China
    2.Engineering Research Center of MES Technology for Iron & Steel Production,Ministry of Education,Beijing 100083,China
    3.College of Economy and Management,Qingdao University of Science and Technology,Qingdao,Shandong 266061,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-04-11 Published:2011-04-11

CLSP问题的周期调度方法及其PSO求解

施灿涛1,2,王文鹏3,李铁克1,2   

  1. 1.北京科技大学 经济管理学院,北京 100083
    2.钢铁生产制造执行系统技术教育部 工程研究中心,北京 100083
    3.青岛科技大学 经济与管理学院,山东 青岛 266061

Abstract: By considering multi-stage capacitated lot scheduling problem with a thought of decomposition and abstracting several single stages from a multi-stage manufacture system,this paper proposes a cyclic approach for the capacitated lot-scheduling problem on each abstracted stage.The corresponding mathematical model is built based on the problem description and statement,and some properties of the cyclic approach,such as upper bound for each cycle and the relationship between cycle length and lot sizes,are discovered.A PSO-based algorithm is employed with three-dimensional solution presentation.By computational tests with a real case from a cool rolling plant,it can be proved that the cyclic approach leads to a dramatic reduction of problem space and makes the setup costs degrade 16%.

Key words: Capacitated Lot Scheduling Problem(CLSP), cyclic approach, Particle Swarm Optimization(PSO), three-layer presentation

摘要: 采用分解思想考虑多阶段CLSP问题,从多阶段生产系统抽象出单阶段生产环节,提出以周期方式对该生产环节进行生产批量调度。在对CLSP周期调度问题进行描述和界定的基础上,建立了相应的数学模型,讨论了周期调度方法中的周期上界以及周期长度与物料批量大小之间的关系等性质,采用基于三层编码的粒子群优化算法进行问题求解。源于冷轧生产实际的计算实例表明周期方法能够大大降低问题的规模且所得设备调整费用比人工方法减少约16%。

关键词: 能力受限的批量调度问题(CLSP), 周期方法, 粒子群优化, 三层编码