A Mixed-Integer Programming Formulation for a Simplified Model of the Double Row Layout Problem

Q3 Multidisciplinary
Jian GUAN, Geng LIN, Huibin FENG, Zhiqiang RUAN
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引用次数: 0

Abstract

The double row layout problem (DRLP) is to assign facilities on two rows in parallel so that the total cost of material handling among facilities is minimized. Since it is vital to save cost and enhance productivity, the DRLP plays an important role in many application fields. Nevertheless, it is very hard to handle the DRLP because of its complex model. In this paper, we consider a new simplified model for the DRLP (SM-DRLP) and provide a mixed integer programming (MIP) formulation for it. The continuous decision variables of the DRLP are divided into two parts: start points of double rows and adjustable clearances between adjacent facilities. The former one is considered in the new simplified model for the DRLP with the purpose of maintaining solution quality, while the latter one is not taken into account with the purpose of reducing computational time. To evaluate its performance, our SM-DRLP is compared with the model of a general DRLP and the model of another simplified DRLP. The experimental results show the efficiency of our proposed model.
双行布局问题简化模型的混合整数规划公式
双行布局问题(DRLP)是将设施平行布置在两行,使设施间物料搬运的总成本最小。由于DRLP对节省成本和提高生产率至关重要,因此在许多应用领域发挥着重要作用。然而,由于DRLP模型复杂,处理起来非常困难。本文考虑了一种新的简化模型(SM-DRLP),并给出了该模型的混合整数规划(MIP)公式。DRLP的连续决策变量分为两部分:双行起始点和相邻设施之间的可调节间隙。在新的DRLP简化模型中考虑了前者,目的是为了保持解的质量,而不考虑后者,目的是为了减少计算时间。为了评估其性能,将我们的SM-DRLP与一般DRLP模型和另一种简化的DRLP模型进行了比较。实验结果表明了该模型的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Wuhan University Journal of Natural Sciences
Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary
CiteScore
0.40
自引率
0.00%
发文量
2485
期刊介绍: Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.
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