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The increasing importance of distributed multimedia applications and the emergence of user interfaces based on digital audio and digital video will soon require that computer communication networks offer real-time services. This paper argues that the feasibility of providing performance guarantees in a wiede-area network should be investigated, and describes a possible approach. We present a model of the network to be studied, and discuss its generality, as well as the presumable limits to its validity in the future. We also give a careful formulation of the problem, including a precise definition of the guarantees to be provided and a provably correct scheme for the establishment of real-time connections with deterministic, statistical, and best-effort delay bounds.