How Robust are Timely Gossip Networks to Jamming Attacks?
Priyanka Kaswan, Şennur Ulukuş
Abstract
We consider a semantics-aware communication system, where timeliness is the semantic measure, with a source which maintains the most current version of a file, and a network of n user nodes with the goal to acquire the latest version of the file. The source gets updated with newer file versions as a point process, and forwards them to the user nodes, which further forward them to their neighbors using a memoryless gossip protocol. We study the average version age of the network in the presence of ñ jammers that disrupt inter-node communications, for the connectivity-constrained ring topology and the connectivity-rich fully connected topology. For the ring topology, we construct an alternate system model of mini-rings and prove that the version age of the original model can be sandwiched between constant multiples of the version age of the alternate model. We show in a ring network that when the number of jammers scales as a fractional power of the network size, i.e., ñ=cnα, the version age scales as n when α<12, and as nα when α≥12. As the version age of a ring network without any jammers scales as n, our result implies that the version age with gossiping is robust against up to n jammers in a ring network. We then study the connectivity-rich fully connected topology, where we derive a greedy approach to place n jammers to maximize the age of the resultant network, which uses the jammers to isolate as many nodes as possible, thereby consolidating all links into a single mini-fully connected network. We show in this network that version age scales as logn when n=cnlogn and as nα-1, 1<α≤2 when n=cnα, implying that the network is robust against nlogn jammers, since the age in a fully connected network without jammers scales as logn. Finally, we present simulation results to support our theoretical findings.