High-density Multi-layer Heterogeneous Wireless Networks Queue Modeling

With the increasingly complex and diverse wireless traffic requirement, high-density multi-layer heterogeneous wireless networks (HetNet), making modeling and performance analysis complexity, is the main structure for wireless networks. This paper propose a queue technology based continuous time Markov chain (CTMC) model for the relationship between users and multi-layer heterogeneous wireless networks. The complexity of communication rates expression in this CTMC model makes network performance analyze difficult. Therefore, based on this original CTMC model, the paper proposes two simplified CTMC models defined in the countable domain, which have mutual dominance relationship with the original model, making network performance analysis simple and feasible. The paper verifies the mutual dominance relationship between models through mathematical proof and numerical analysis.