Brief Announcement: Temporal Locality in Online Algorithms

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A4 Artikkeli konferenssijulkaisussa

Date

2022-10-01

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en

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3

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36th International Symposium on Distributed Computing, DISC 2022, Leibniz International Proceedings in Informatics, LIPIcs ; Volume 246

Abstract

Online algorithms make decisions based on past inputs, with the goal of being competitive against an algorithm that sees also future inputs. In this work, we introduce time-local online algorithms; these are online algorithms in which the output at any given time is a function of only T latest inputs. Our main observation is that time-local online algorithms are closely connected to local distributed graph algorithms: distributed algorithms make decisions based on the local information in the spatial dimension, while time-local online algorithms make decisions based on the local information in the temporal dimension. We formalize this connection, and show how we can directly use the tools developed to study distributed approximability of graph optimization problems to prove upper and lower bounds on the competitive ratio achieved with time-local online algorithms. Moreover, we show how to use computational techniques to synthesize optimal time-local algorithms.

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Funding Information: Funding This research has received funding from the German Research Foundation (DFG), grant 470029389 (FlexNets), 2021-2024, and the Marie Skłodowska-Curie grant agreement No. 840605. Publisher Copyright: © Maciej Pacut, Mahmoud Parham, Joel Rybicki, Stefan Schmid, Jukka Suomela, and Aleksandr Tereshchenko.

Keywords

distributed algorithms, Online algorithms

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Citation

Pacut, M, Parham, M, Rybicki, J, Schmid, S, Suomela, J & Tereshchenko, A 2022, Brief Announcement: Temporal Locality in Online Algorithms . in C Scheideler (ed.), 36th International Symposium on Distributed Computing, DISC 2022 ., 52, Leibniz International Proceedings in Informatics, LIPIcs, vol. 246, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, International Symposium on Distributed Computing, Augusta, Georgia, United States, 25/10/2022 . https://doi.org/10.4230/LIPIcs.DISC.2022.52