The minimum of a unit-release reservoir with Markovian inputs

DOI10.1016/0022-247X(88)90264-8zbMath0635.60103OpenAlexW2070691257MaRDI QIDQ1097596

Rocco Ballerini

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90264-8

zbMATH Keywords

bivariate probability generating functioncontent processdiscrete storage modelsfirst emptiness probabilities

Mathematics Subject Classification ID

Brownian motion (60J65) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Cites Work

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• Ergodic properties of nonnegative matrices. I
• A note on the first emptiness of dams with Markovian inputs
• A population process with Markovian progenies
• The minimum of an additive process with applications to signal estimation and storage theory
• Infinite dams with inputs forming a Markov chain