Preemptive scheduling to minimize total weighted late work and weighted number of tardy jobs

被引:8
|
作者
Chen, Rubing [1 ,2 ]
He, Ruyan [3 ]
Yuan, Jinjiang [1 ]
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] Zhengzhou Univ Aeronaut, Sch Management Engn, Zhengzhou 450046, Henan, Peoples R China
基金
中国国家自然科学基金;
关键词
Preemptive scheduling; Single machine; Two weights; Total weighted late work; Weighted number of tardy jobs; SINGLE-MACHINE; ALGORITHMS; TRADEOFF;
D O I
10.1016/j.cie.2022.107969
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we consider the single-machine bi-criteria preemptive scheduling for minimizing the total weighted late work and the weighted number of tardy jobs, where weights of the jobs for the two criteria are independent, and so, each job has two unrelated weights. The Pareto-scheduling problem is studied in this paper, which includes the hierarchical-scheduling problem as a subversion. For the Pareto-scheduling problem, we present a pseudo-polynomial-time algorithm. Moreover, we present the complexity classification for various subproblems under some restrictions on the weights, due dates, and processing times.
引用
收藏
页数:17
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