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 underutilized base stations (BSs). In this paper, given a partially shared deployment (PSD) of subchannels betweenmacro 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. © 2018 Association for Computing Machinery.