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Broadcasting in unreliable radio networks

Published: 25 July 2010 Publication History

Abstract

Practitioners agree that unreliable links, which sometimes deliver messages and sometime do not, are an important characteristic of wireless networks. In contrast, most theoretical models of radio networks fix a static set of links and assume that these links are reliable. This gap between theory and practice motivates us to investigate how unreliable links affect theoretical bounds on broadcast in radio networks.
To that end we consider a model that includes two types of links: reliable links, which always deliver messages, and unreliable links, which sometimes fail to deliver messages. We assume that the reliable links induce a connected graph, and that unreliable links are controlled by a worst-case adversary. In the new model we show an Ω(n log n) lower bound on deterministic broadcast in undirected graphs, even when all processes are initially awake and have collision detection, and an Ω(n) lower bound on randomized broadcast in undirected networks of constant diameter. This separates the new model from the classical, reliable model. On the positive side, we give two algorithms that tolerate unreliability: an O(n3/2 √log n)-time deterministic algorithm and a randomized algorithm which terminates in O(n log2 n) rounds with high probability.

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cover image ACM Conferences
PODC '10: Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
July 2010
494 pages
ISBN:9781605588889
DOI:10.1145/1835698
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 25 July 2010

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Author Tags

  1. broadcast
  2. dual graphs
  3. unreliable networks

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  • (2022)On the power of randomization in distributed algorithms in dynamic networks with adaptive adversariesJournal of Parallel and Distributed Computing10.1016/j.jpdc.2021.09.004159(35-50)Online publication date: Jan-2022
  • (2021)Distributed Broadcasting in Dynamic NetworksIEEE/ACM Transactions on Networking10.1109/TNET.2021.308781829:5(2142-2155)Online publication date: Oct-2021
  • (2021)Network Design under General Wireless InterferenceAlgorithmica10.1007/s00453-021-00866-zOnline publication date: 10-Aug-2021
  • (2020)Noisy BeepsProceedings of the 39th Symposium on Principles of Distributed Computing10.1145/3382734.3404501(418-427)Online publication date: 31-Jul-2020
  • (2020)On the Power of Randomization in Distributed Algorithms in Dynamic Networks with Adaptive AdversariesEuro-Par 2020: Parallel Processing10.1007/978-3-030-57675-2_24(376-391)Online publication date: 18-Aug-2020
  • (2019)Radio Network Coding Requires Logarithmic Overhead2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS)10.1109/FOCS.2019.00030(348-369)Online publication date: Nov-2019
  • (2019)On Simple Back-Off in Unreliable Radio NetworksTheoretical Computer Science10.1016/j.tcs.2019.08.027Online publication date: Aug-2019
  • (2019)The cost of global broadcast in dynamic radio networksTheoretical Computer Science10.1016/j.tcs.2019.07.013Online publication date: Jul-2019
  • (2019)Some lower bounds in dynamic networks with oblivious adversariesDistributed Computing10.1007/s00446-019-00360-4Online publication date: 7-Aug-2019
  • (2019)Wireless Network AlgorithmicsComputing and Software Science10.1007/978-3-319-91908-9_9(141-160)Online publication date: 2019
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