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Regression based duality approach to optimal control with application to hydro electricity storage
2016, Hildebrand, Roland, Schoenmakers, John, Zhang, Jianing, Dickmann, Fabian
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.