Comments on "Cross-Tier Cooperation for Optimal Resource Utilization in Ultra-Dense Heterogeneous Networks"

Abstract

© 2018 IEEE. Two adaptive dedicated channel allocation algorithms, namely dynamic dedicated channel partitioning (D2CP) and dynamic dedicated channel partitioning with cooperation (D2CP-C), were proposed in [1] to improve the system throughput of ultra-dense networks (UDN). However, due to the incorrect use of the geometric-arithmetic mean inequality theorem, the average system throughput could not be guaranteed to be optimal. In this letter, we study the proposed D2CP and D2CP-C algorithms in UDN and deduce the average system throughput. Consequently, we prove that the equal resource allocation strategy proposed in [1] is strictly not optimal