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Optimization under the PMλ,τ policy of a finite dam with both continuous and jumpwise inputs

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  14 July 2016

Kyung Eun Lim ,
Jee Seon Baek  and
Eui Yong Lee
Kyung Eun Lim*
Affiliation:
Sookmyung Women's University
Jee Seon Baek*
Affiliation:
Sookmyung Women's University
Eui Yong Lee*
Affiliation:
Sookmyung Women's University
*
∗Postal address: Department of Statistics, Sookmyung Women's University, Seoul, 140-742, Korea.
∗Postal address: Department of Statistics, Sookmyung Women's University, Seoul, 140-742, Korea.
∗Postal address: Department of Statistics, Sookmyung Women's University, Seoul, 140-742, Korea.
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Abstract

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We consider a finite dam under the policy, where the input of water is formed by a Wiener process subject to random jumps arriving according to a Poisson process. The long-run average cost per unit time is obtained after assigning costs to the changes of release rate, a reward to each unit of output, and a penalty that is a function of the level of water in the reservoir.

Keywords

Finite damPMλ,τ policyWiener processcompound Poisson processlong-run average cost

MSC classification

Primary: 60K25: Queueing theory
Secondary: 90B05: Inventory, storage, reservoirs
Type
Short Communications
Information
Journal of Applied Probability , Volume 42 , Issue 2 , June 2005 , pp. 587 - 594
Copyright
© Applied Probability Trust 2005 

References

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