Scheduling in a broadcast (BC) channel based on partial channel state information at the transmitter (CSIT) is carried out through a multibeam opportunistic beamforming technique. Within a more practical perspective, this paper first presents a transmission strategy where a minimum rate per user is required, which in a wireless fading scenario, can only be guaranteed under a certain system outage constraint. This minimum rate is demanded within a given time interval to satisfy maximum delay restrictions for the user application. Closed form expressions for maximum scheduling delay and maximum jitter are obtained, standing as possible quality of service (QoS) indicators for the system behaviour. The derived expressions are then tested via simulations in several transmission scenarios.