A Gentle Wakeup Call

ORCID

Biswas: https://orcid.org/0009-0000-2842-5527; Young: https://orcid.org/0000-0002-5251-8595

MSU Affiliation

James Worth Bagley College of Engineering; Department of Computer Science and Engineering

Creation Date

2026-03-30

Abstract

The wakeup problem addresses the fundamental challenge of symmetry breaking. Initially, n devices share a time-slotted multiple access channel, which models wireless communication. A transmission succeeds if exactly one device sends in a slot; if two or more transmit, a collision occurs and none succeed. The goal is to achieve a single successful transmission efficiently. Prior work primarily analyzes latency—the number of slots until the first success. However, in many modern systems, each collision incurs a nontrivial delay, , which prior analyses neglect. Consequently, although existing algorithms achieve polylogarithmic-in-n latency, they still suffer a delay of due to collisions. Here, we design and analyze a randomized wakeup algorithm, Aim-High. When is sufficiently large with respect to n, Aim-High has expected latency and expected total cost of collisions that are nearly ; otherwise, both quantities are . Finally, for a well-studied class of algorithms, we establish a trade-off between latency and expected total cost of collisions.

Publication Date

1-4-2026

Publication Title

ICDCN Companion '26: Companion Proceedings of the 27th International Conference on Distributed Computing and Networking

Publisher

ACM

First Page

96

Last Page

101

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Share

COinS
 

Digital Object Identifier (DOI)

https://doi.org/10.1145/3737611.3776617