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

Lee, Eui Yong; Ahn, Sung K.

J. Appl. Probab. 35, No. 2, 482-488 (1998).

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)

MSC:

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

Keywords:

dam; compound Poisson process; release policy; stationary content distribution