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- W4234421868 abstract "We show that for a certain storage network the backward content process is increasing, and when the net input process has stationary increments then, under natural stability conditions, the content process has a stationary version under which the cumulative lost capacities have stationary increments. Moreover, for the feedforward case, we show that under some minimal conditions, two content processes with net input processes which differ only by initial conditions can be coupled in finite time and that the difference of two content processes vanishes in the limit if the difference of the net input processes monotonically approaches a constant. As a consequence, it is shown that for the natural stability conditions, when the net input process has stationary increments, the distribution of the content process converges in total variation to a proper limit, independent of initial conditions." @default.
- W4234421868 created "2022-05-12" @default.
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- W4234421868 date "1997-06-01" @default.
- W4234421868 modified "2023-09-26" @default.
- W4234421868 title "Stochastic storage networks: stationarity and the feedforward case" @default.
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- W4234421868 doi "https://doi.org/10.1017/s0021900200101123" @default.
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