Approximation algorithms for bi-objective parallel-machine scheduling in green manufacturing

被引：4
|
作者：
Jiang, Yiwei [1 ]
Tang, Xuelian [1 ]
Li, Kai [2 ,3 ]
Cheng, T. C. E. [4 ]
Ji, Min [1 ]
机构：
[1] Zhejiang Gongshang Univ, Sch Management & E Business, Contemporary Business & Trade Res Ctr, Hangzhou 310018, Peoples R China
[2] Hefei Univ Technol, Sch Management, Hefei 230009, Peoples R China
[3] Minist Educ, Key Lab Proc Optimizat & Intelligent Decis Making, Hefei 230009, Peoples R China
[4] Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R China
来源：
COMPUTERS & INDUSTRIAL ENGINEERING | 2023年 / 176卷
基金：
中国国家自然科学基金;
关键词：
Green manufacturing; Parallel-machine scheduling; Approximation algorithm; Worst-case ratio; TARDINESS; OPTIMIZATION;
D O I：
10.1016/j.cie.2022.108949
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider bi-objective parallel-machine scheduling in green manufacturing to minimize the makespan and total processing cost. Each machine has a different constant processing cost per unit time. For the objective of minimizing the makespan, given a total cost budget, we provide an approximation algorithm with a worst-case ratio of root 33+1/4 approximate to 1.686, which improves the previous bound of 2. For the objective of minimizing the total processing cost, subject to all the jobs must be completed before a given common deadline, we provide an approximation algorithm with a worst-case ratio of 2+r/3, where r is the ratio of the maximum to the minimum processing cost per unit time on a machine.
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收藏
页数：8
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