Optimal algorithms for online single machine scheduling with deteriorating jobs

被引:14
|
作者
Liu, Ming [2 ]
Zheng, Feifeng [1 ,3 ]
Wang, Shijin [2 ]
Huo, Jiazhen [2 ]
机构
[1] Donghua Univ, Glorious Sun Sch Business & Management, Shanghai 200051, Peoples R China
[2] Tongji Univ, Sch Econ & Management, Shanghai 200092, Peoples R China
[3] Xi An Jiao Tong Univ, Sch Management, Xian 710049, Shaanxi, Peoples R China
基金
美国国家科学基金会;
关键词
Scheduling; Online algorithm; Deteriorating job; Competitive analysis; TIMES;
D O I
10.1016/j.tcs.2012.05.004
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In many realistic scenarios of job processing, one job consumes a longer time to be satisfied with a later start time of processing. This phenomenon is known as job's deterioration effect. Such effect is unexplored in the context of online environment. In this paper we study online single machine scheduling for deteriorating jobs, where jobs arrive over time and become known to any online algorithm on their arrivals. The processing time of each job is a linearly increasing function of its start time. We mainly investigate three online models that minimize makespan, total completion time and maximum delivery time, respectively. For each model we present an optimal online algorithm in competitiveness. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:75 / 81
页数:7
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