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Time-Dependent Results for a Dam with Ordered Poisson Inputs

Abstract

LET the content 0 Z(t) < ∞ of a dam at time t 0, fed by an input 0 X(t) < ∞ in time t, and subject to a steady release at constant unit rate, be defined by the equation : where ηδt(0 η1) is the time during t, t + δt that the dam is empty. X(t) is such that the arrival times of inputs form a Poisson process with parameter λ, the inputs themselves being of constant sizes α1, α2, and always arriving in this order (α1, α2 > 0).

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References

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GANI, J. Time-Dependent Results for a Dam with Ordered Poisson Inputs. Nature 188, 341–342 (1960). https://doi.org/10.1038/188341a0

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  • DOI: https://doi.org/10.1038/188341a0

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