Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-12T19:40:38.485Z Has data issue: false hasContentIssue false
  • English
  • Français

New bounds for the thermal energy storage process with stationary input

Published online by Cambridge University Press:  14 July 2016

J. Haslett
J. Haslett*
Affiliation:
Trinity College, Dublin
*
∗ Postal address: Department of Statistics, Trinity College, Dublin 2, Ireland.
Get access Rights & Permissions [Opens in a new window]

Abstract

The process {Xn }, defined by Xn + 1 = max{Yn + 1 + αßX n, ßX n}, with αand ß in [0, 1) and {Yn } stationary, arises in studies of solar thermal energy systems. Bounds for the stationary mean EX are given, which are more general and in some cases tighter, than those previously available.

Keywords

STOCHASTIC STORAGESTATIONARY INPUTBOUNDS
Type
Short Communications
Information
Journal of Applied Probability , Volume 19 , Issue 4 , December 1982 , pp. 894 - 899
Copyright
Copyright © Applied Probability Trust 1982 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Daley, D. J. (1982) The absolute convergence of weighted sums of stationary sequences of random variables. Z. Wahrscheinlichkeitsth. 58, 199–203.Google Scholar
[2] Daley, D. J. and Haslett, J. (1982) A thermal energy storage process with controlled input. Adv. Appl. Prob. 14, 257–271.Google Scholar
[3] Haslett, J. (1980) Problems in the stochastic storage of solar thermal energy. In Analysis and Optimisation of Stochastic Systems, ed. Jacobs, O.L.R. et al., Academic Press, London.Google Scholar
[4] Raftery, A. E. (1982) Generalised non-normal series models. In Time Series Analysis: Theory and Practice, ed. Anderson, O. D., North-Holland, Amsterdam.Google Scholar
[5] Sfeir, A. A. (1980) A stochastic model for predicting solar system performance. Solar Energy 25, 149–154.Google Scholar