Randomized renaming in shared memory systems

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 memo...

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Veröffentlicht in:Journal of parallel and distributed computing Jg. 150; S. 112 - 120
Hauptverfasser: Berenbrink, Petra, Brinkmann, André, Elsässer, Robert, Friedetzky, Tom, Nagel, Lars
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.04.2021
Schlagworte:
Distributed algorithm
Loose renaming
Randomized algorithm
Shared memory model
Tight renaming
Tight renaming
Loose renaming
Shared memory model
Randomized algorithm
Distributed algorithm
ISSN:0743-7315, 1096-0848
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Zusammenfassung: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(logn) 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(loglogn). 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∕(logn)ℓ)⋅n=(1+o(1))⋅n performing O(ℓ⋅(loglogn)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(logn), 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. •Tight and loose renaming in the shared-memory model.•Loose renaming with (1+o(1)) * n names in poly-double-logarithmic number of steps.•Tight renaming algorithm simpler and more practical than existing one.•Tight renaming relies on new HW register with potential benefits in other areas.
ISSN:0743-7315
1096-0848
DOI:10.1016/j.jpdc.2021.01.002