Home Health Care (HHC) becomes a promising service among the health care services, due to the numerous benefits it offers such as increasing the ‘stay at home’ rate, freeing the hospitals from the cases where care could be provided at home, reducing health care costs and being aligned with the contemporary social needs. Nonetheless, the complexity factors involved in HHC services make the efficient management of such activity, from an operations management point of view, hard to obtain. In this paper, we propose a functional scheme of the service with a description of the HHC problem settings. We also detail the decisions at different planning levels that have an impact on HCC service performance. Finally, we give an overview of the different modeling and solving approaches that have been used in the literature to address the HCC service issues, and we end up with a discussion and future research directions.