不受等待约束的双机链再入车间

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Karima Amrouche, Mourad Boudhar, Nazim Sami
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引用次数: 2

摘要

研究了在无等待约束下,具有两台机器和n个非抢占作业的链式可重入流车间调度问题;我们假设每个作业从第一台机器传递到第二台机器,然后返回到第一台机器。目标是最小化完工时间。一般的问题在强意义上是np困难的。利用一种动态规划算法,证明了当作业的执行顺序为固定排列时,问题是多项式可解的。为了解决一般问题,我们提出了线性数学模型、局部搜索启发式、模拟退火元启发式和下界数值实验。[收稿日期:2019年2月8日;修订日期:2019年6月19日;修订日期:2019年8月26日;修订日期:2019年10月8日;修订日期:2019年11月9日;录用日期:2019年11月11日]
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two-machine chain-reentrant ow shop with the no-wait constraint
This paper addresses the chain-reentrant flow shop scheduling problem with two machines and n non-preemptive jobs in the presence of the no-wait constraint; we assume that each job passes from the first machine to the second and returns back to the first machine. The objective is to minimise the makespan. The general problem is NP-hard in the strong sense. Based on a dynamic programming algorithm, we prove that the problem is polynomially solvable when the execution order of the jobs through the machines is a fixed permutation. For the resolution of the general problem, we propose a linear mathematical model, local search heuristics, a simulated annealing metaheuristic and lower bounds with numerical experiments. [Received: 8 February 2019; Revised: 19 June 2019; Revised: 26 August 2019; Revised: 8 October 2019; Revised: 9 November 2019; Accepted: 11 November 2019]
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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