Title
Randomized Renaming in Shared Memory Systems
Abstract
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) <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ℓ</sup> )·n = (1+o(1))·n performing O(ℓ · (log logn) <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> ) 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.
Year
DOI
Venue
2015
10.1109/IPDPS.2015.77
2015 IEEE International Parallel and Distributed Processing Symposium
Keywords
Field
DocType
Renaming,Distributed Algorithms
Asynchronous communication,Randomized algorithm,Binary logarithm,Shared memory model,Shared memory,Computer science,Parallel computing,Distributed algorithm,Speedup,Distributed computing,Name space
Conference
ISSN
Citations 
PageRank 
1530-2075
0
0.34
References 
Authors
13
5
Name
Order
Citations
PageRank
Petra Berenbrink147246.41
André Brinkmann240334.79
Robert Elsässer310413.93
tom friedetzky424924.47
Lars Nagel57613.58