Heuristics for Online Scheduling on Identical Parallel Machines with Two GoS Levels

doi:10.1007/s11424-019-7427-6

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	Heuristics for Online Scheduling on Identical Parallel Machines with Two GoS Levels
	Cai Shuang 1,2,3; Liu Ke2,3
刊名	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
	2019-08-01
卷号	32 期号:4 页码:1180-1193
关键词	Grade of Service (GoS) constraints heuristic algorithm online scheduling parallel machine scheduling
ISSN号	1009-6124
DOI	10.1007/s11424-019-7427-6
英文摘要	This paper considers the online scheduling problem on m (m >= 3) parallel machines (the first k machines with grade 1 and the remaining m - k machines with grade 2) with two GoS levels and makespan as the objective function. The jobs arrive over time with grade 1 or 2 and an arrival job can be assigned to a machine only when the grade of the job is no less than the grade of the machine. Three cases are considered: (i) For k = 1, the authors present an online algorithm with competitive ratio of 9/5. (ii) For 1 < k < m - 1, an online algorithm with competitive ratio of 2.280 is proposed. (iii) For k = m - 1, an online algorithm is presented with competitive ratio of 2. All the three algorithms are based on greedy algorithm with a similar structure. At last, numerical instances are given and the average competitive ratios of the instances show good performance of the proposed algorithms.
资助项目	National Natural Science Foundation of China[71390334] ; National Natural Science Foundation of China[11271356]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000480484700012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35487]
专题	应用数学研究所
通讯作者	Cai Shuang
作者单位	1.Beijing Jingdong Zhenshi Informat Technol Co Ltd, Logist R&D Dept, Beijing 100176, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cai Shuang,Liu Ke. Heuristics for Online Scheduling on Identical Parallel Machines with Two GoS Levels[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2019,32(4):1180-1193.
APA	Cai Shuang,&Liu Ke.(2019).Heuristics for Online Scheduling on Identical Parallel Machines with Two GoS Levels.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,32(4),1180-1193.
MLA	Cai Shuang,et al."Heuristics for Online Scheduling on Identical Parallel Machines with Two GoS Levels".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 32.4(2019):1180-1193.