In this paper, we consider the online early work problems on three hierarchical machines with a common due date. When there is one machine of hierarchy 1, we propose an optimal online algorithm with a competitive ratio of 1.302. When there are two machines of hierarchy 1, we give a lower bound 1.276, and propose an online algorithm with a competitive ratio of 1.302.
机构:
E China Inst Technol, Sch Math & Informat Sci, Fuzhou 344000, Jiangxi, Peoples R ChinaE China Inst Technol, Sch Math & Informat Sci, Fuzhou 344000, Jiangxi, Peoples R China
Yin, Yunqiang
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机构:
Xu, Dehua
Huang, Xiaokun
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机构:
Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R ChinaE China Inst Technol, Sch Math & Informat Sci, Fuzhou 344000, Jiangxi, Peoples R China