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Charges stationnaires d’une file d’attente avec blocages. (Stationary loads of a queueing system with blockings). (French) Zbl 0631.60099

The author studies a stationary queueing system where the server undergoes blocking periods. During such a period service is interrupted and resumed afterwards. The quite general point process setup of the paper allows only implicit results such as defining equations for waiting times, existence of stationary solutions, and relations between time- and customer-stationary quantities.

The main result is a decomposition of the virtual waiting time which is related to a decomposition given by J. A. Hooke [Operations Res. 20, 373-380 (1972; Zbl 0239.60089)] for priority queues.

Reviewer: H.Wegmann
60K25Queueing theory
90B22Queues and service (optimization)