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We propose to apply an integrated admission control scheme to both streaming flows and elastic flows. It is assumed that streaming flow packets are served with priority in network queues so that admission control ensures minimal delay for audio and video applications while preserving the throughput of document transfers. An implicit measurement-based implementation is proposed where admissibility is based on an estimation of the bandwidth a new elastic flow would acquire. An analytical fluid flow model provides insight and guides the choice of admission thresholds. Detailed packet level simulations of TCP and UDP connections show that the proposed algorithms work satisfactorily in the range of admission thresholds predicted by the fluid model.