Energy contracts management by stochastic programming techniques

Zhihao Cen 1 J. Frederic Bonnans 1 Thibault Christel 2
1 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées
Abstract : We consider the problem of optimal management of energy contracts, with bounds on the local (time step) amounts and global (whole period) amounts to be traded, integer constraint on the decision variables and uncertainty on prices only. After building a finite state Markov chain by using vectorial quantization tree method, we rely on the stochastic dual dynamic programming (SDDP) method to solve the continuous relaxation of this stochastic optimization problem. An heuristic for computing sub optimal solutions to the integer optimization problem, based on the Bellman values of the continuous relaxation, is provided. Combining the previous techniques, we are able to deal with high-dimension state variables problems. Numerical tests applied to realistic energy markets problems have been performed.
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Submitted on : Monday, August 1, 2011 - 10:48:19 AM
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Zhihao Cen, J. Frederic Bonnans, Thibault Christel. Energy contracts management by stochastic programming techniques. Annals of Operations Research, Springer Verlag, 2011, 200 (1), pp.199-222. ⟨10.1007/s10479-011-0973-5⟩. ⟨inria-00486897v2⟩



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