Communication apparatus includes multiple interfaces configured for connection to a packet data network. A memory, coupled to the interfaces, is configured as a shared buffer to contain packets in multiple sets of queues for transmission to the network. Each set of queues receives in the shared buffer a respective allocation having an allocation size that varies over time in response to an amount of space in the shared buffer that is unused at any given time. A controller is configured to apply congestion control to a respective fraction of the packets that are queued for transmission from each set of queues in the shared buffer to the network, such that the respective fraction is set for each set of queues at any given time in response to a relation between a length of the queues in the set and the allocation size of the respective allocation at the given time.