Abstract
In this paper, we study three semi-online early work maximization problems on two hierarchical machines. When the total processing time of low or high hierarchy is known, we propose an optimal algorithm with a competitive ratio of \(\sqrt{5}-1\). When the total processing times of low and high hierarchy are known, we propose an optimal algorithm with a competitive ratio of \(\frac{6}{5}\).
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Acknowledgement
The work is supported in part by the National Natural Science Foundation of China [No. 12071417], and Project for Innovation Team (Cultivation) of Yunnan Province [No. 202005AE160006].
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Xiao, M., Liu, X., Li, W. (2021). Semi-online Early Work Maximization Problem on Two Hierarchical Machines with Partial Information of Processing Time. In: Wu, W., Du, H. (eds) Algorithmic Aspects in Information and Management. AAIM 2021. Lecture Notes in Computer Science(), vol 13153. Springer, Cham. https://doi.org/10.1007/978-3-030-93176-6_13
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DOI: https://doi.org/10.1007/978-3-030-93176-6_13
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