1998Journal of Applied ProbabilityRequires access

P λ M-policy for a dam with input formed by a compound Poisson process

Eui Yong Lee, Sung K. Ahn

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Abstract

An infinite dam with input formed by a compound Poisson process is considered. As an output policy, we adopt the P λ M -policy. The stationary distribution and expectation of the level of water in the reservoir are obtained.

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An infinite dam with input formed by a compound Poisson process is considered. As an output policy, we adopt the P λ M -policy. The stationary distribution and expectation of the level of water in the reservoir are obtained.

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Available abstract

An infinite dam with input formed by a compound Poisson process is considered. As an output policy, we adopt the P λ M -policy. The stationary distribution and expectation of the level of water in the reservoir are obtained.

Key concepts: Compound Poisson process, Mathematics, Poisson distribution, Poisson process, Compound Poisson distribution, Process (computing), Distribution (mathematics), Counting process

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