renaming.pdf (470.28 kB)
Download file

Randomized renaming in shared memory systems

Download (470.28 kB)
journal contribution
posted on 12.01.2021, 11:31 by Petra Berenbrink, André Brinkmann, Robert Elsässer, Tom Friedetzky, Lars NagelLars Nagel
Renaming is a task in distributed computing where n processes are assigned new names from a name space of size m. The problem is called tight if m = n, and loose if m > n. In recent years renaming came to the fore again and new algorithms were developed. For tight renaming in asynchronous shared memory systems, Alistarh et al. describe a construction based on the AKS network that assigns all names within O(log n) steps per process. They also show that, depending on the size of the name space, loose renaming can be done considerably faster. For m = (1 + ε) · n and constant ε, they achieve a step complexity of O(log log n). In this paper we consider tight as well as loose renaming and introduce randomized algorithms that achieve their tasks with high probability. The model assumed is the asynchronous shared-memory model against an adaptive adversary. Our algorithm for loose renaming maps n processes to a name space of size m = (1 + 2/(log n) ` ) · n = (1+o(1)) · n performing O(` · (log log n) 2 ) test-and-set operations. In the case of tight renaming, we present a protocol that assigns n processes to n names with step complexity O(log n), but without the overhead and impracticality of the AKS network. This algorithm utilizes modern hardware features in form of a counting device which is also described in the paper. This device may have the potential to speed up other distributed algorithms as well.

History

School

  • Science

Department

  • Computer Science

Published in

Journal of Parallel and Distributed Computing

Volume

150

Pages

112-120

Publisher

Elsevier

Version

AM (Accepted Manuscript)

Rights holder

© Elsevier

Publisher statement

This paper was accepted for publication in the journal Journal of Parallel and Distributed Computing and the definitive published version is available at https://doi.org/10.1016/j.jpdc.2021.01.002

Acceptance date

03/01/2021

Publication date

2021-01-09

Copyright date

2021

ISSN

0743-7315

Language

en

Depositor

Dr Lars Nagel. 8 January 2021