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

Bellamine, R.; Pellaumail, J.

RAIRO, Rech. Opér. 23, No. 3, 269-282 (1989).

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

Keywords:

positive matrix; M-matrix; steady-state probabilities; queueing networks; positive operators; buffer