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Abstract

A determination whether to establish a new connection that will supply new variable bit rate data packets to be transmitted in a shared system for transmitting variable bit rate data packets is made by determining, for the new connection, a value of a moment generating function defined based on the number of possible data packet sizes for the new connection, (R.sub.i, P.sub.i) pairs representing possible new connection data packet sizes, R.sub.i, with corresponding assigned probabilities, P.sub.i, and .theta. is an arbitrary positive real number. A determination is then made whether any value of .theta. exists that satisfies the Chernoff bound for all established connections and the new connection, given a length of a buffer for storing data packets supplied to the shared system for transmitting variable bit rate data packets, and a predefined packet loss rate that can be tolerated in the shared system for transmitting variable bit rate data packets. If a value of .theta. exists that satisfies the Chernoff bound, then the new connection is established, else it is rejected. In another aspect, a maximum number of connections in the shared system is determined, given a transmission rate of the shared system.

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