Average cost under the PMλ, τ policy in a finite dam with compound Poisson inputs

DOI10.1239/jap/1053003561zbMath1030.60088OpenAlexW2144748968MaRDI QIDQ4435692

Sunggon Kim, Jongho Bae, Eui Yong Lee

Publication date: 17 November 2003

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1053003561

zbMATH Keywords

long-run average costfinite damcompound Poisson input\(P^M_{\lambda,\tau}\) policy

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (9)

Simultaneous impulse and continuous control of a Markov chain in continuous time ⋮ Control of dams using \(P^M_{\lambda,\tau}\) policies when the input process is a nonnegative Lévy process ⋮ Optimization under the P^M_λ,τ policy of a finite dam with both continuous and jumpwise inputs ⋮ A workload-dependent \(M/G/1\) queue under a two-stage service policy ⋮ Takács' asymptotic theorem and its applications: a survey ⋮ An M/G/1 Queue with Adaptable Service Speed ⋮ Optimal control of a finite dam with diffusion input and state dependent release rates ⋮ Queues with Lévy input and hysteretic control ⋮ Optimal Control of a Large Dam

Cites Work

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• A \(P_{\lambda}^M\)-policy for an \(M/G/1\) queueing system
• P_λ^M-policy for a dam with input formed by a compound Poisson process
• Optimal control of finite dams: discrete (2-stage) output procedure
• Optimal control of a dam using P_λ,τ^M policies and penalty cost when the input process is a compound Poisson process with positive drift
• Optimal control of a finite dam: average-cost case
• The virtual waiting time of the M/G/1 queue with impatient customers

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