We formulate a scheduling problem to derive the optimal time fraction jointly for a hybrid orthogonal multiple access (OMA)-non-orthogonal multiple access (NOMA) system using the$\alpha$·fair utility function, while accounting for imper-fections in successive interference cancellation (SIC). Our study demonstrates that the optimal solution derived through a solver matches the theoretical results. Furthermore, we assess the performance of these derived time fractions in comparison to an existing adaptive user pairing (AUP) algorithm, designed to mitigate imperfections in SIC. Through extensive simulations, we illustrate that the derived time fraction consistently yields improved mean user link rates when employed with the AUP algorithm, across varying levels of imperfections in SIC, under the log-rate model.

In heterogeneous cellular networks (HCNs), dual connectivity (DC) has been introduced to increase throughput of the system. Base station sleeping (BSS) techniques has been proposed to reduce the power consumption of the under-utilized base stations (BSs). In this paper, given a partially shared deployment (PSD) of subchannels between macro BS (MBS) and the small cell base stations (SCBSs), the DC uplink (UL) resource allocation problem is formulated. Given such PSD system, the optimum number of subchannels that can be allocated for SCBSs for a DC user in UL are computed. The computation of MBS and SCBSs thresholds for selection of DC user in downlink is also presented. Further, a framework to select the operating point based on energy, throughput, user density, and SCBSs density is presented.