Heuristics for Online Scheduling on Identical Parallel Machines with Two GoS Levels
文献类型：期刊论文
| 作者 | Cai Shuang1,2,3; Liu Ke2,3
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000480484700012 |
| 出版者 | SPRINGER HEIDELBERG |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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