Infinite dams with inputs forming a Markov chain

Author:

Khan M. S. Ali,Gani J.

Abstract

Moran's [1] early investigations into the theory of storage systems began in 1954 with a paper on finite dams; the inputs flowing into these during consecutive annual time-intervals were assumed to form a sequence of independent and identically distributed random variables. Until 1963, storage theory concentrated essentially on an examination of dams, both finite and infinite, fed by inputs (discrete or continuous) which were additive. For reviews of the literature in this field up to 1963, the reader is referred to Gani [2] and Prabhu [3].

Publisher

Cambridge University Press (CUP)

Subject

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

Cited by 17 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. Independent Arrivals;Discrete-Time Models for Communication Systems Including ATM;1993

2. On the limit behavior of certain quantities in a subcritical storage model;Advances in Applied Probability;1985-06

3. On a generalized storage model with moment assumptions;Journal of Applied Probability;1981-06

4. On a generalized storage model with moment assumptions;Journal of Applied Probability;1981-06

5. Invariant imbedding and dams with Markovian input rate;Journal of Applied Probability;1980-09

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