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Online algorithms for the mixed ring loading problem with two nodes

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Abstract

In this paper, we introduce the mixed ring loading problem, where the ring contains undirected and bidirected links. When the ring consists of two nodes, we consider the online mixed ring loading problem under three different scenarios including splittable, integer splittable and unsplittable. When the demands are (integer) splittable, we present an (asymptotically) optimal online algorithm. When the demands are unsplittable, we present an online algorithm which generalizes the previous result.

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Acknowledgements

The work is supported in part by the National Natural Science Foundation of China [Nos. 61662088, 11761078], Program for Excellent Young Talents of Yunnan University, Training Program of National Science Fund for Distinguished Young Scholars, IRTSTYN, and Key Joint Project of the Science and Technology Department of Yunnan Province and Yunnan University [No. 2018FY001(-014)].

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  1. School of Mathematics and Statistics, Yunnan University, Kunming, 650504, People’s Republic of China

    Li Guan, Weidong Li & Man Xiao

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  1. Li Guan
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  2. Weidong Li
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  3. Man Xiao
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Correspondence to Weidong Li.

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Guan, L., Li, W. & Xiao, M. Online algorithms for the mixed ring loading problem with two nodes. Optim Lett 15, 1229–1239 (2021). https://doi.org/10.1007/s11590-020-01632-w

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  • DOI: https://doi.org/10.1007/s11590-020-01632-w

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