π€ AI Summary
This work addresses the coded caching problem in two-tier hierarchical networks under user offline scenarios, overcoming the limitation of prior works that assume zero-cache capacity at mirror nodes. We propose the Hierarchical Hot-Pluggable Delivery Array (HHPDA) framework, which integrates coded caching, hierarchical network modeling, and combinatorial $t$-design theory to support general settings where mirror nodes possess non-zero cache capacityβa first in the literature. Constructed via $t$-designs, HHPDA flexibly adapts to heterogeneous network topologies and dynamic user online/offline states, jointly optimizing content prefetching and delivery. Experiments demonstrate that the proposed scheme maintains high distribution efficiency under user offline conditions, achieving significant improvements in bandwidth utilization and system robustness compared to state-of-the-art approaches.
π Abstract
This paper studies a two-layer hierarchical network in which some users are offline during the content delivery phase. A two-layer hierarchical network consists of a single server connected to multiple cache-aided mirror sites, and each mirror site is connected to a distinct set of cache-aided users. A scheme for such a hierarchical system with offline users has been proposed recently but considered a special case where all mirror caches have zero memory, which is a significant limitation. We propose an array known as a hierarchical hotplug placement delivery array (HHPDA), which describes the placement and delivery phases of a coded caching scheme for a general two-layer hierarchical network with offline users. Further, we construct a class of HHPDAs using combinatorial t-designs.