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  • (1) expresses the total bandwidth demand of a single link at time t. (2), (3), (4) express the bandwidth demand of a single viewer at time t. (5) represents the assumption 2. (6) is the characteristic of probability function. (7), (8) satisfies the assumption 5 and Zipf ’ s law is used for the popularity of available program files. (9), (10) satisfies the assumption 4, the number of requests by active viewers follow Poisson distribution.

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