Bi-objective scheduling on uniform parallel machines considering electricity cost

Bi-objective scheduling on uniform parallel machines considering electricity cost
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考虑电费的均匀并行机双目标调度

DOI:
10.1080/0305215x.2017.1296437
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发表时间:
2018-01
影响因子:
2.7
通讯作者:
Xueqi Wu
Xueqi Wu
中科院分区:
工程技术3区
文献类型:
--
作者:
Yizeng Zeng;Ada Che;Xueqi Wu

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本文研究了在时间依赖或分时电价下,考虑电费的均匀平行机双目标调度问题,其中电价随时间变化.目的是同时最大限度地减少总电费和实际使用的机器数量。首先,制定了一个双目标混合整数线性规划模型的问题。然后,插入算法提出的单目标调度问题的总电费最小化为给定数量的机器。为了获得问题的整个Pareto前沿,基于所提出的插入算法开发了一个迭代搜索框架。在实际和随机生成的实例上的计算结果表明,所提出的方法是相当有效的,可以找到高质量的Pareto前沿的大型问题,多达5000个工作。
This article investigates a bi-objective scheduling problem on uniform parallel machines considering electricity cost under time-dependent or time-of-use electricity tariffs, where electricity price changes with the hours within a day. The aim is to minimize simultaneously the total electricity cost and the number of machines actually used. A bi-objective mixed-integer linear programming model is first formulated for the problem. An insertion algorithm is then proposed for the single-objective scheduling problem of minimizing the total electricity cost for a given number of machines. To obtain the whole Pareto front of the problem, an iterative search framework is developed based on the proposed insertion algorithm. Computational results on real-life and randomly generated instances demonstrate that the proposed approach is quite efficient and can find high-quality Pareto fronts for large-size problems with up to 5000 jobs.
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