The joint distribution of the virtual waitingtime and the residual busy period for the M/G/1 queue
- 1 April 1968
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 5 (1) , 224-229
- https://doi.org/10.2307/3212091
Abstract
In the M/G/1 queue, the joint distribution of the virtual waitingtime and the residual duration of the busy period at any time t, is given by a formula analogous to the one for the virtual waitingtime by itself. In the limit, as t → ∞, the limiting joint distribution is given by a formula of the Pollaczek-Khintchine type.Keywords
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