\(P_\lambda^M\)-policy for a dam with input formed by a compound Poisson process. (English) Zbl 0913.60081

Consider an infinite dam, fed by a compound Poisson process. The release policy is: If the content reaches level \(\lambda\) or above, the water is released with rate \(M\) until the dam is empty. Then a new cycle starts with filling the dam. The authors compute the stationary distribution of the level of water in the system.
Reviewer: H.Daduna (Hamburg)


60K10 Applications of renewal theory (reliability, demand theory, etc.)
60K25 Queueing theory (aspects of probability theory)
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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