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One of the principal phases in the design process of the information systems is the performance evaluation of these systems. Queuing networks and Markov chains are commonly used for performance and reliability evaluation of computer, communication, and systems manufacturing. In the context of this paper, this phase of analysis is based on a mathematical modelling and resolution in terms of Markov chains. Several reputable formalisms were developed to address the problem arising from the size (potentially very large) of these chains. In this paper, the authors are interested in the generation of computer and telecommunication networks using the Asynchronous Transfer Mode (ATM).
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