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生产中怠速能耗最小化:工业实例与数学模型(CS.CE)

本文以实际钢铁淬火生产过程为背景,研究了最小化机床闲置能耗的调度问题。当机器处于空闲状态时,通过将机器切换到某种节电模式来实现能量最小化。对于钢的硬化过程,机械的模式即(如炉膛)可以与它的内部温度相联系。与目前只考虑少数几种机械模式的方法相反,加热炉内的温度可以连续变化,因此必须考虑无限种节能模式才能达到最大可能的节能效果。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,这一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。文中给出了能量函数的几个应用实例。然后,它被集成到一个数学模型中,这个数学模型是关于具有相同并行机器和作业的调度问题的,这些机器和作业的特征是发布时间、最后期限和处理时间。数值实验表明,提出的模型优于文献中的参考模型。

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

原文: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.

原文作者:Ondřej Benedikt, Přemysl Šůcha, Zdeněk Hanzálek

原文地址:https://arxiv.org/abs/2005.06270

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