Stationary deterministic flows: II. The Single-server queue (Q1097690)

[For part I see ibid. 23, 107-127 (1983; Zbl 0498.68024)]. The goal of this paper is to establish fundamental properties of queueing systems. A single-server queue is considered in which the usual probabilistic assumptions are not assumed to hold. Only the existence of long-term averages of inter-arrival times and service times is assumed. Based on these minimal assumptions, stability conditions are established. The asymptotic behaviour of the unstable queue is determined. In addition, an investigation of the stable queue is undertaken. Topics include queues with failures and asymptotic birth-and-death equations.