Storage problems in continuous time with random inputs, random outputs, and deterministic release

DOI10.1016/0096-3003(85)90013-XzbMath0574.60097OpenAlexW2014323358MaRDI QIDQ1063342

B. George

Publication date: 1985

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(85)90013-x

zbMATH Keywords

finite damcompound Poisson input and outputdeterministic exponential releaseimbedding technique

Mathematics Subject Classification ID

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

Related Items (5)

Storage Models for a Class of Master Equations with Separable Kernels ⋮ Stochastic dynamics and passage times for diffusion approximations ⋮ Stochastic Models for the Amount of Overflow in a Finite Dam with Random Inputs, Random Outputs, and Exponential Release Policy ⋮ First exit times and diffusion approximations for storage models with Poisson inputs, Poisson outputs and deterministic release rule ⋮ Stochastic Dynamics for Passage Times and Diffusion Approximations for Finite Capacity Storage Models with Different Kinds of Barriers

Cites Work

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• Generalized renewal functions and stationary inventory models
• An infinite depth dam with Poisson input and Poisson release
• Analytic solution of a finite dam governed by a general input
• A finite dam with exponential release
• Application of Methods in Sequential Analysis to Dam Theory
• Time-dependent results in storage theory
• On the Theory of Age-Dependent Stochastic Branching Processes
• Ambigeneous stochastic processes

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