Bounded parallel-batch scheduling on single and multi machines for deteriorating jobs

被引：26
|
作者：
Miao, Cuixia [1 ]
Zhang, Yuzhong [2 ]
Cao, Zhigang [3 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Management, Rizhao 276826, Shandong, Peoples R China
[3] CAS, Key Lab Management Decis & Informat Syst AMSS, Beijing 100190, Peoples R China
来源：
INFORMATION PROCESSING LETTERS | 2011年 / 111卷 / 16期
基金：
中国国家自然科学基金;
关键词：
Analysis of algorithms; Parallel-batch scheduling; Deteriorating job; NP-hard; Fully polynomial time approximation scheme (FPTAS); SIMPLE LINEAR DETERIORATION; PROCESSING TIMES;
D O I：
10.1016/j.ipl.2011.05.018
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the bounded parallel-batch scheduling problem in which the processing time of a job is a simple linear function of its starting time. The objective is to minimize the makespan. When the jobs have identical release dates, we present an optimal algorithm for the single-machine problem and an fully polynomial-time approximation scheme for the parallel-machine problem. When the jobs have distinct release dates, we show that the single-machine problem is NP-hard and present an optimal algorithm for one special case. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：798 / 803
页数：6
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