@article{selekUtilizingPermutationalSymmetries2013,
  title = {Utilizing Permutational Symmetries in Dynamic Programming - with an Application to the Optimal Control of Water Distribution Systems under Water Demand Uncertainties},
  author = {Selek, Istvan and Bene, Jozsef G. and Ikonen, Enso},
  date = {2013},
  journaltitle = {International Journal of Innovative Computing, Information and Control},
  volume = {9},
  pages = {3091--3113},
  issn = {1349-4198},
  url = {http://www.ijicic.org/ijicic-12-06005.pdf},
  abstract = {This paper develops a sub-optimal control tool for high dimensional nonlinear stochastic systems which are subject to permutational invariance. Using an open-loop feedback control scheme, a management policy is obtained by exploiting the solutions of consecutive high dimensional stochastic nonlinear mixed-integer programs on a rolling horizon. The concept of permutational invariance as system property is introduced and used to define a pseudo state space over the control domain. Applying state aggregation over the pseudo state space, a one dimensional equivalent problem is obtained and solved by stochastic dynamic programming. An application of the proposed method to the water distribution system of Sopron (Hungary) is presented.  2013 ICIC International.},
  keywords = {*imported-from-citeulike-INRMM,~INRMM-MiD:c-12692997,control-problem,dynamic-programming,feedback,invariance,open-loop-control,stochastic-dynamic-programming,water-resources},
  number = {8}
}

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