An infinite discrete dam with dependent inputs

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11 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

This paper is concerned with an infinite discrete dam fed by inputs which form a moving average sequence. Generating functions are derived for the joint time dependent distribution of the content, accumulated input and total dry time, the distribution of first emptiness, and the stationary content distribution. Also investigated is the problem of first emptiness before overflow for the finite dam.

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References

1953On the Stochastic Matrices Associated with Certain Queuing Processes 1970Finite dams with inputs forming a Markov chain 1968Infinite dams with inputs forming a Markov chain 1965A note on the equilibrium distribution of levels in a semi-infinite reservoir subject to Markovian inputs and unit withdrawals 1969Recent advances in storage and flooding theory

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1975Combinatorial and analytic methods in the theory of queues

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