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Décomposition de \(M\)-matrice et buffer d’un multiplexeur ATM. (Decomposition of an \(M\)-matrix and a buffer for the ATM multiplexer). (French) Zbl 0751.94001

Summary: In the performance evaluation of the “Asynchronous Transfer Mode (ATM)” a fundamental and difficult question arises: is it possible to limit the loss of messages by using buffers? For computing such a loss, an algorithm is stated: this algorithm is explicit, fast and needs only a few memory. It rests upon a decomposition theorem for some \(M\)-matrices.

MSC:

94A05 Communication theory
94A40 Channel models (including quantum) in information and communication theory