A simple model for a dam in continuous time with Markovian input

DOI10.1007/BF00538398zbMath0213.45403MaRDI QIDQ5615798

Donald R. McNeil

Publication date: 1972

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Consumer behavior, demand theory (91B42) Markov processes (60J99)

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On the unutilized capacity of a production-storage system ⋮ The minimum of an additive process with applications to signal estimation and storage theory

Cites Work

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• A note on the equilibrium distribution of levels in a semi-infinite reservoir subject to Markovian inputs and unit withdrawals
• On the homogeneous birth-and-death process and its integral
• Infinite dams with inputs forming a Markov chain
• Asymptotic transient behaviour of the bulk service queue
• Finite dams with inputs forming a Markov chain
• Joint distributions of random variables and their integrals for certain birth-death and diffusion processes
• NOTES ON CONTINUOUS STOCHASTIC PHENOMENA

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