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Opérateurs positifs et probabilités stationnaires. (Positive operators and stationary probabilities). (French) Zbl 0678.90037

Summary: An algorithm is given to compute steady-state probabilities for some queueing networks: in this algorithm, only positive operators are needed. This algorithm is valuable to study a queue with buffer and to study the queueing system PH/M/r.

MSC:

90B22 Queues and service in operations research
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.)
60K25 Queueing theory (aspects of probability theory)
90B10 Deterministic network models in operations research
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