Time-dependent results in storage theory

Author:

Prabhu N. U.

Abstract

The probability theory of storage systems formulated by P. A. P. Moran in 1954 has now developed into an active branch of applied probability. An excellent account of the theory, describing results obtained up to 1958 is contained in Moran's (1959) monograph, Considerable progress has since been made in several directions-the study ofthe time-dependent behaviour ofstochastic processes underlying Moran's original model, modifications of this model, as well as the formulation and solution of new models. The aim of this paper is to give an expository account of these developments; a comprehensive treatment will be found in the author's forthcoming book [Prabhu (1964)].

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Transient error approximation in a Lévy queue;Queueing Systems;2017-01-13

2. A new look at the Moran dam;Journal of Applied Probability;1993-06

3. Independent Arrivals;Discrete-Time Models for Communication Systems Including ATM;1993

4. A Simulation Approach to Sizing Hybrid Photovoltaic and Wind Systems;Journal of Energy;1983-11

5. Coupling methods and the storage equation;Journal of Applied Probability;1983-06

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