We study the on-line scheduling on an unbounded parallel batch machine to minimize makespan of two families of jobs. In this model, jobs arrive over time and jobs from different families cannot be scheduled in a common batch. We provide a best possible on-line algorithm for the problem with competitive ratio (root 17+ 3)/4 approximate to 1.7808.
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China Univ Min & Technol, Coll Sci, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Coll Sci, Xuzhou 221116, Jiangsu, Peoples R China
Fu, Ruyan
Tian, Ji
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China Univ Min & Technol, Coll Sci, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Coll Sci, Xuzhou 221116, Jiangsu, Peoples R China
Tian, Ji
Yuan, Jinjiang
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Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R ChinaChina Univ Min & Technol, Coll Sci, Xuzhou 221116, Jiangsu, Peoples R China
Yuan, Jinjiang
Li, Ya
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Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R ChinaChina Univ Min & Technol, Coll Sci, Xuzhou 221116, Jiangsu, Peoples R China