Cell-Free Massive Multiple-Input Multiple-Output (CF-mMIMO) networks are a promising evolution in wireless communications, offering notable improvements in user experience and network performance by eliminating traditional cell boundaries. These networks employ a large number of distributed access points (APs) to serve a smaller number of user equipments (UEs), forming a unique wireless network architecture that ensures solid coverage and service delivery. A primary concern in the context of CF-mMIMO networks is the efficient allocation of resources, particularly user scheduling and power allocation. The aim of this thesis is to investigate these tasks in the downlink of a CF-mMIMO network, considering both perfect and imperfect channel state information (CSI). In user scheduling, the objective is to select a subset of UEs to be served at any given time. This process is inherently complex as it must cater for numerous factors such as the priority of UEs, varying channel conditions, and physical UE locations. Effective user scheduling is instrumental in optimizing the utilization of network resources, enhancing UE satisfaction, and managing network traffic efficiently. Power allocation also plays a key role in the distribution of transmission power among APs and the selected UEs. In CF-mMIMO systems, an effective power allocation strategy can help mitigate inter-user interference and optimize energy efficiency, while enforcing the total available power and hardware constraints. This thesis further considers the context of clustered cell-free (CLCF) networks, as non-overlapping network clustering and also usec-centric cell-free (UCCF). These networks present their own unique challenges and opportunities in terms of user scheduling and power allocation. An in-depth exploration and comparison of different techniques within this settings could offer valuable insights into the development of more efficient resource allocation strategies. The thesis aims to provide a comprehensive study of resource allocation, focusing on user scheduling and power allocation in the downlink of CF-mMIMO networks, taking into account both perfect and imperfect CSI and exploring the implications of these techniques in CLCF and UCCF network contexts, and indicate some topics for further investigation in the future works.