Efficient load-balancing through distributed token dropping

Brandt S, Keller B, Rybicki J, Suomela J, Uitto J. 2021. Efficient load-balancing through distributed token dropping. Annual ACM Symposium on Parallelism in Algorithms and Architectures. SPAA: Symposium on Parallelism in Algorithms and Architectures , 129–139.

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Author
Brandt, Sebastian; Keller, Barbara; Rybicki, JoelISTA ; Suomela, Jukka; Uitto, Jara
Department
Abstract
We introduce a new graph problem, the token dropping game, and we show how to solve it efficiently in a distributed setting. We use the token dropping game as a tool to design an efficient distributed algorithm for stable orientations and more generally for locally optimal semi-matchings. The prior work by Czygrinow et al. (DISC 2012) finds a stable orientation in O(Δ^5) rounds in graphs of maximum degree Δ, while we improve it to O(Δ^4) and also prove a lower bound of Ω(Δ). For the more general problem of locally optimal semi-matchings, the prior upper bound is O(S^5) and our new algorithm runs in O(C · S^4) rounds, which is an improvement for C = o(S); here C and S are the maximum degrees of customers and servers, respectively.
Publishing Year
Date Published
2021-07-06
Proceedings Title
Annual ACM Symposium on Parallelism in Algorithms and Architectures
Acknowledgement
We thank Orr Fischer, Juho Hirvonen, and Tuomo Lempiäinen for valuable discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 840605.
Page
129-139
Conference
SPAA: Symposium on Parallelism in Algorithms and Architectures
Conference Location
Virtual Event, United States
Conference Date
2021-07-06 – 2021-07-08
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Cite this

Brandt S, Keller B, Rybicki J, Suomela J, Uitto J. Efficient load-balancing through distributed token dropping. In: Annual ACM Symposium on Parallelism in Algorithms and Architectures. ; 2021:129-139. doi:10.1145/3409964.3461785
Brandt, S., Keller, B., Rybicki, J., Suomela, J., & Uitto, J. (2021). Efficient load-balancing through distributed token dropping. In Annual ACM Symposium on Parallelism in Algorithms and Architectures (pp. 129–139). Virtual Event, United States. https://doi.org/10.1145/3409964.3461785
Brandt, Sebastian, Barbara Keller, Joel Rybicki, Jukka Suomela, and Jara Uitto. “Efficient Load-Balancing through Distributed Token Dropping.” In Annual ACM Symposium on Parallelism in Algorithms and Architectures, 129–39, 2021. https://doi.org/10.1145/3409964.3461785.
S. Brandt, B. Keller, J. Rybicki, J. Suomela, and J. Uitto, “Efficient load-balancing through distributed token dropping,” in Annual ACM Symposium on Parallelism in Algorithms and Architectures, Virtual Event, United States, 2021, pp. 129–139.
Brandt S, Keller B, Rybicki J, Suomela J, Uitto J. 2021. Efficient load-balancing through distributed token dropping. Annual ACM Symposium on Parallelism in Algorithms and Architectures. SPAA: Symposium on Parallelism in Algorithms and Architectures , 129–139.
Brandt, Sebastian, et al. “Efficient Load-Balancing through Distributed Token Dropping.” Annual ACM Symposium on Parallelism in Algorithms and Architectures, 2021, pp. 129–39, doi:10.1145/3409964.3461785.
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