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PλM-policy for a dam with input formed by a compound Poisson process

Part of: Special processes Markov processes

Published online by Cambridge University Press:  14 July 2016

Eui Yong Lee  and
Sung K. Ahn
Eui Yong Lee*
Affiliation:
Pohang University of Science and Technology
Sung K. Ahn*
Affiliation:
Washington State University
*
∗Postal address: Department of Mathematics, Pohang University of Science and Technology, Pohang 790–784, Korea. E-mail address: eylee@posmath.postech.ac.kr
∗∗Postal address: Department of Management and Systems, Washington State University, Pullman, WA 99164–4736, USA.
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Abstract

An infinite dam with input formed by a compound Poisson process is considered. As an output policy, we adopt the PλM-policy. The stationary distribution and expectation of the level of water in the reservoir are obtained.

Keywords

PλM-policycompound Poisson processstationary distribution

MSC classification

Primary: 60J25: Continuous-time Markov processes on general state spaces
Secondary: 60K25: Queueing theory
Type
Short Communications
Information
Journal of Applied Probability , Volume 35 , Issue 2 , June 1998 , pp. 482 - 488
Copyright
Copyright © Applied Probability Trust 1998 

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References

Cox, D.R., and Miller, H.D. (1965). The Theory of Stochastic Processes. Methuen, London, pp. 245–246 Google Scholar
Faddy, M.J. (1974). Optimal control of finite dams: discrete (2-stage) output procedure. J. Appl. Prob. 11, 111–121.CrossRefGoogle Scholar
Lee, E.Y., and Lee, J. (1993). A model for a system subject to random shocks. J. Appl. Prob. 30, 979–984.CrossRefGoogle Scholar
Ross, S.M. (1983). Stochastic Processes. John Wiley & Sons, New York, p. 78.Google Scholar
Zuckerman, D. (1977). Two-stage output procedure of a finite dam. J. Appl. Prob. 14, 421–425.CrossRefGoogle Scholar