This work aims the development of scheduling algorithms to maximize user satisfaction index in the downlink of an Orthogonal Frequency Division Multiple Access network, considering different traffic models of Non‐Real Time and Real Time services; and more realistic channel conditions, eg, imperfect Channel State Information. To solve the problem of maximizing the satisfaction with affordable complexity, a cross layer optimization approach uses the utility theory to formulate the problem as a weighted sum rate maximization. Aiming at the maximization of the satisfaction of users of Non‐Real Time and Real Time services, 2 scheduling algorithms are proposed: Modified Throughput Satisfaction Maximization and Modified Delay‐based Satisfaction Maximization, respectively. The modification of parameters of the shifted log‐logistic utility function enables different strategies of distribution of resources. System level simulations indicate the accomplishment of the objective of development of efficient and low complexity scheduling algorithms able to maximize the satisfaction indexes. These strategies can be useful to the network operator who is able to design and operate the network according to a planned user satisfaction profile.