Rate conservation for stationary processes
- 1 March 1991
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 28 (1) , 146-158
- https://doi.org/10.2307/3214747
Abstract
We derive a rate conservation law for distribution densities which extends a result of Brill and Posner. Based on this conservation law, we obtain a generalized Takács equation for the G/G/m/B queueing system that only requires the existence of a stochastic intensity for the arrival process and the residual service time distribution density for the G/GI/1/B queue. Finally, we solve Takács' equation for the N/GI/1/∞ queueing system.Keywords
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