Single machine lot scheduling to minimize the total weighted (discounted) completion time

被引:16
作者
Zhang, E. [1 ]
Liu, Ming [2 ]
Zheng, Feifeng [3 ]
Xu, Yinfeng [3 ]
机构
[1] Shanghai Univ Finance & Econ, Sch Informat Management & Engn, Shanghai 200433, Peoples R China
[2] Tongji Univ, Sch Econ & Management, Shanghai 200092, Peoples R China
[3] Donghua Univ, Glorious Sun Sch Business & Management, Shanghai 200051, Peoples R China
基金
中国国家自然科学基金;
关键词
Algorithms; Lot scheduling; Single machine; WSPT rule; FLOW-TIME; COMMON;
D O I
10.1016/j.ipl.2018.10.002
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this work, we investigate the problem of single machine lot scheduling where each lot contains one or more jobs and is of identical processing time. Jobs with different sizes are splittable and shall be processed in consecutive lots. Any completed (part of a) job is delivered to the customer on its completion. We prove that the WSPT (Weighted Shortest Processing Time first) rule is optimal for both models of minimizing total weighted completion time and minimizing total weighted discounted completion time. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:46 / 51
页数:6
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