Regression based duality approach to optimal control with application to hydro electricity storage

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Date
2016
Volume
2330
Issue
Journal
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

In this paper we consider the problem of optimal control of stochastic processes. We employ the dual martingale method brought forward in [Brown, Smith, and Sun, 2010]. The martingale constituting the solution of the dual problem is determined by linear regression within a Monte-Carlo approach. We apply the solution algorithm to a model of a hydro electricity storage and production system coupled with a model of the electricity wholesale market.

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Keywords
Stochastic optimal control, dual martingale method, hydro electricity storage
Citation
Hildebrand, R., Schoenmakers, J., Zhang, J., & Dickmann, F. (2016). Regression based duality approach to optimal control with application to hydro electricity storage (Vol. 2330). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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