Bicriteria scheduling to minimize total late work and maximum tardiness with preemption

被引:9
|
作者
Chen, Rubing [2 ]
Yuan, Jinjiang [1 ]
Ng, C. T. [3 ]
Cheng, T. C. E. [3 ]
机构
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
[2] Zhengzhou Univ, Sch Informat Engn, Zhengzhou 450001, Henan, Peoples R China
[3] Hong Kong Polytech Univ, Logist Res Ctr, Dept Logist & Maritime Studies, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Bicriteria scheduling; Preemption; Total late work; Maximum tardiness; SINGLE-MACHINE;
D O I
10.1016/j.cie.2021.107525
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We consider single-machine bicriteria scheduling of n jobs with preemption to minimize the total late work and maximum tardiness. Given the earliest due date order of the jobs in advance, we present an O(n)-time algorithm for the hierarchical scheduling problem and an O(nlogn)-time algorithm for the constrained scheduling problem. For the Pareto-scheduling problem, when all the processing times and due dates are integral, we construct the trade-off curve in O(nlognP) time, where P is the total processing time of the jobs.
引用
收藏
页数:13
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