Constrained Spatial Layout and Simultaneous Production Evaluation for a Production System
Constrained Spatial Layout and Simultaneous Production Evaluation for a Production System
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DOI：
10.1177/1063293x06065529
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发表时间：
2006-06
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影响因子：
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通讯作者：
C. Lan;Chung-Jen Kang
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文献类型：
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作者：
C. Lan;Chung-Jen Kang
本文提出了多目标生产系统设计（MOPSD）数学模型，并给出了两阶段求解过程。MOPSD模型不仅考虑生产系统在受限工厂空间下的二维布局，以实现物料运输总流量最小，而且在同时生产的情况下，确定最优的工作站分配数量和最优的系统周期时间。MOPSD模型的第一个主要目标是一个二次分配问题（Quadratic Assignment Problem， QAP），但它考虑了传统QAP研究很少提到的操作元素的大小、多条生产线和受限的二维工厂空间。MOPSD模型的第二个目标是确定同步生产情况下的最优系统周期时间和最优工作站分配数量，以防止系统生产率的低估。MOPSD模型的第一阶段求解过程采用空间离散技术，使无限的可展开位置变成有限的，然后通过系统布局实现主要目标。此外，开发了四位置编码技术（FPCT），对从第一阶段得到的部署生产系统中的节点进行编码，因此这些FPCT编码可以作为第二阶段求解过程的输入参数。采用Lingo 9.0扩展版的语法构造了这两个求解过程，并通过数值算例详细描述了求解过程。综上所述，MOPSD模型及其求解过程的重复性特点使本研究成为一个有价值的决策支持工具，因为它们是由打包软件Lingo 9.0构建的。也就是说，工厂可以通过仅更改其输入参数轻松复制以解决其他情况。
This paper proposes a mathematical model called Multi-objective Production System Design (MOPSD) model and a two-staged solving procedure. The MOPSD model not only considers the two-dimensional layout of a production system under the constrained factory space to achieve the minimal total material transportation flow but also determines the optimal assigned number of workstations and the optimal system cycle time concerning a simultaneous production situation. The first major objective of MOPSD model is regarded as a Quadratic Assignment Problem (QAP), but it considers the size of operation element, the multiple production lines, and the constrained two-dimensional factory space where traditional QAP studies are seldom mentioned. The second objective of the MOPSD model is to determine the optimal system cycle time as well as the optimal assigned number of workstations under the simultaneous production situation for preventing the underestimation of the system production rate. The first-stage solving procedure of the MOPSD model applies the space discrete technique to make the infinite deployable locations become finite, and then one can achieve the major objective through the system layout. In addition, the Four Position Coding Technique (FPCT) is developed to code the nodes in the deployed production system obtaining from the first stage, and therefore those FPCT codes can function as the input parameters in the second-stage solving procedure. These two solving procedures are constructed by the syntax of Lingo 9.0 extended version, and a numerical example is followed to describe the detailed solving procedure. In summary, the repeated characteristic of the MOPSD model and its solving procedure make this study a valuable decision support tool because they are constructed by the packaged software Lingo 9.0. That is, a factory can easily duplicate to solve other cases by changing its input parameters only.