Connection intervals in multi-scale dynamic networks

TL;DR

This paper analyzes the distribution of connection intervals for mobile nodes in a multi-scale dynamic network, revealing how different scaling regimes affect connectivity duration.

Contribution

It introduces a limiting distribution framework for connection intervals in hybrid spatial networks considering multiple regimes of scaling.

Findings

Distribution depends on the scaling of the time horizon.

Identifies three distinct regimes affecting connection intervals.

Provides a theoretical foundation for understanding connectivity in multi-scale networks.

Abstract

We consider a hybrid spatial communication system in which mobile nodes can connect to static sinks in a bounded number of intermediate relaying hops. We describe the distribution of the connection intervals of a typical mobile node, i.e., the intervals of uninterrupted connection to the family of sinks. This is achieved in the limit of many hops, sparse sinks and growing time horizons. We identify three regimes illustrating that the limiting distribution depends sensitively on the scaling of the time horizon.