arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.06270cs.CEmath.OC
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生产过程中最小无功能耗的研究--工业实例与数学模型

On Idle Energy Consumption Minimization in Production: Industrial Example and Mathematical Model

Ondřej Benedikt, Přemysl Šůcha, Zdeněk Hanzálek

摘要:

本文以钢铁淬火生产过程为背景,研究了一个以最小化设备空闲能耗为目标的调度问题。通过在机器空闲时将其切换到某种节能模式来实现能量最小化。对于钢硬化过程,机器的模式(即,炉)可以与其内部温度相关联。与只考虑少量机器模式的最近方法相反,炉中的温度可以连续变化,因此必须考虑无限数量的节能模式以实现最大可能的节省。为了有效地对机器模式进行建模,我们使用了能量函数的概念,该概念最初是在嵌入式系统领域引入的,但尚未在生产研究领域扎根。能量函数的说明与几个应用实例从文献中。之后,它被集成到一个数学模型的调度问题的并行相同的机器和作业的特点是释放时间,截止日期,和处理时间。数值实验表明,该模型优于参考模型改编自文献。

英文摘要:

This paper, inspired by a real production process of steel hardening, investigates a scheduling problem to minimize the idle energy consumption of machines. The energy minimization is achieved by switching a machine to some power-saving mode when it is idle. For the steel hardening process, the mode of the machine (i.e., furnace) can be associated with its inner temperature. Contrary to the recent methods, which consider only a small number of machine modes, the temperature in the furnace can be changed continuously, and so an infinite number of the power-saving modes must be considered to achieve the highest possible savings. To model the machine modes efficiently, we use the concept of the energy function, which was originally introduced in the domain of embedded systems but has yet to take roots in the domain of production research. The energy function is illustrated with several application examples from the literature. Afterward, it is integrated into a mathematical model of a scheduling problem with parallel identical machines and jobs characterized by release times, deadlines, and processing times. Numerical experiments show that the proposed model outperforms a reference model adapted from the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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