HSkip+: A Self-Stabilizing Overlay Network for Nodes with Heterogeneous Bandwidths

TL;DR

HSkip+ is a self-stabilizing overlay network designed for nodes with heterogeneous bandwidths, offering improved stabilization, routing efficiency, and robustness compared to previous solutions.

Contribution

It introduces a self-stabilizing overlay network that orders nodes by bandwidth, outperforming prior mechanisms and combining stabilization with optimal routing performance.

Findings

Significantly faster self-stabilization mechanism than Skip+

Maintains logarithmic diameter and degree with arbitrary bandwidths

Demonstrates superior performance under high churn in simulations

Abstract

In this paper we present and analyze HSkip+, a self-stabilizing overlay network for nodes with arbitrary heterogeneous bandwidths. HSkip+ has the same topology as the Skip+ graph proposed by Jacob et al. [PODC 2009] but its self-stabilization mechanism significantly outperforms the self-stabilization mechanism proposed for Skip+. Also, the nodes are now ordered according to their bandwidths and not according to their identifiers. Various other solutions have already been proposed for overlay networks with heterogeneous bandwidths, but they are not self-stabilizing. In addition to HSkip+ being self-stabilizing, its performance is on par with the best previous bounds on the time and work for joining or leaving a network of peers of logarithmic diameter and degree and arbitrary bandwidths. Also, the dilation and congestion for routing messages is on par with the best previous bounds for such networks, so that HSkip+ combines the advantages of both worlds. Our theoretical investigations are backed by simulations demonstrating that HSkip+ is indeed performing much better than Skip+ and working correctly under high churn rates.