A method and arrangement for fair control of resources amongst users with different instantaneous throughputs in a radio communication system such as a UMTS system. Respective indications of users among whom resources are to be allocated are placed in a `round robin` queue (200) and each user whose indication is at the head of the queue is allocated a number of resource units as a function of: .beta., a predetermined parameter determining the extent to which a fixed number of resource units should be allocated to the user and the extent to which a fixed volume of data should be transferred from/to the user; .phi., the volume of data that the user is allowed to transfer if .beta.=1; .lamda., the number of resource units that can be allocated if .beta.=0; and .theta., the number of information bits per resource unit that can be transferred to/from the user. This provides the following advantages: the resources can be allocated in the manner chosen by the operator, the function requires very few input parameters, and so is simple to operate.