Showing papers by "Volker Schmidt published in 1987"
TL;DR: In this paper, a simple proof is given of a formula derived in [3] for the generating function of the joint customer-stationary distribution of the successive numbers of customers a randomly chosen customer finds at his arrival epochs at two queues of the system.
Abstract: For m infinite-server queues with Poisson input which are connected in a series, a simple proof is given of a formula derived in [3] for the generating function of the joint customer-stationary distribution of the successive numbers of customers a randomly chosen customer finds at his arrival epochs at two queues of the system. In this connection, a shot-noise representation of the queue-length characteristics under consideration is used. Moreover, using this representation, corresonding asymptotic formulas are derived for infiniteserver tandem queues with general high-density renewal input. QUEUEING NETWORK; CORRELATION COEFFICIENT; HIGH DENSITY; LIMIT THEOREM
6 citations