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Equilibrium behavior of a stochastic system with secondary input

Published online by Cambridge University Press:  14 July 2016

İzzet Şahin
İzzet Şahin*
Affiliation:
University of Ottawa
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Summary

Equilibrium behavior of a stochastic system with two types of input of different statistical nature and with linear continuous output is investigated. The results have applications in queueing theory, storage theory and insurance-risk theory.

Type
Research Papers
Information
Journal of Applied Probability , Volume 8 , Issue 2 , June 1971 , pp. 252 - 260
Copyright
Copyright © Applied Probability Trust 1971 

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References

[1] Feller, W. (1957) An Introduction to Probability Theory and Its Applications Vol. I (2nd edition). Wiley, New York.Google Scholar
[2] Feller, W. (1966) An Introduction to Probability Theory and Its Applications Vol. II. Wiley, New York.Google Scholar
[3] Lindley, D. V. (1952) The theory of queues with a single server. Proc. Camb. Phil. Soc. 48, 277–283.Google Scholar
[4] Paley, R. and Wiener, N. (1934) Fourier Transforms in the Complex Domain. Amer. Math. Soc. Colloquium Publications, 19.Google Scholar
[5] Şahin, İ (1970) Some Stochastic Systems With Secondary Inputs. Ph. D. Degree Dissertation, Case Western Reserve Univ., Cleveland, Ohio.Google Scholar
[6] Şahin, İ and Bhat, U. Narayan (1970) A stochastic system with scheduled secondary inputs. Submitted for publication.Google Scholar
[7] Smith, W. L. (1953) On the distribution of queuing times. Proc. Camb. Phil. Soc. 49, 449–461.CrossRefGoogle Scholar
[8] Takács, L. (1963) The limiting distribution of the virtual waiting time and the queue size for a single server queue with recurrent input and general service times. Sankhya A25, 91–100.Google Scholar
[9] Takács, L. (1962) Introduction to the Theory of Queues. Oxford Univ. Press, New York.Google Scholar