In the light of the proliferation of the Internet of Things (IoT), the device-to-device (D2D) communication is becoming a promising technology and a key enabler for enhancing the energy efficiency of the wireless network environment and reducing the traffic latency between user equipments (UEs) within their communication range. This papers considers one simplified analytical framework for modeling of communication offloading scenario within the D2D communications underlying cellular network, in which a UE generates a session toward another UE in the same cell. The model aims to improve the system capacity and energy-efficiency by offloading cellular traffic onto D2D communications, when the source and destination UEs are proximate enough to satisfy their QoS requirements. © 2020, Springer Nature Switzerland AG.