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We present the delivery of multimedia presentation from multimedia server. More precisely, we focus on admission control and buffer management. We propose two approaches to optimize the delivery schedules. The first approach optimizes the server workload when the second optimizes the presentation response time. Both of the proposed approaches exploit the presentation flexibilities. In face of presentations with hard presentation constraints, we propose a buffer management policy that plans buffer sharing and data prefetching between presentations. Our experimental results, which are based on realistic distributions, show that the proposed approaches can lead to a gain in server throughput of over 30 % compared to a classical approach. Furthermore, the proposed buffer management policy reduces the storage bandwidth, which is known to be the major bottleneck in a multimedia server.