Choosing among Infinite Alternatives. Castelletti, A. & Soncini-Sessa, R. In Soncini-Sessa, R., Castelletti, A., & Weber, E., editors, Integrated and Participatory Water Resources Management Theory, pages 223–242. Elsevier.
Choosing among Infinite Alternatives [link]Paper  abstract   bibtex   
In Chapter 7 we understood that, even when the Decision Maker (DM) is acting in conditions of full rationality, the design of the alternatives poses three difficulties: the presence of infinite alternatives; the presence of uncertainty produced by random disturbances; and the presence of recursive decisions. In this chapter, we begin to describe the tools to overcome these difficulties by analysing the Design Problem in the simplest of cases: the case in which the actions being considered are all planning actions (Pure Planning Problem), and the only disturbances acting on the system are deterministic. When this is the case, and the alternatives to examine are finite and few in number, we know that the procedure for solving the Problem is straightforward: the indicator (objective) is assessed in correspondence with each alternative, and the alternative that provides its best value is selected. When, instead, the number of alternatives is infinite, or finite but very large, this procedure is not practicable and we meet the first of the difficulties cited above. The aim of this chapter is to define a procedure to identify, with acceptable computation times, the optimal alternative, or at least an alternative very close to it.
@incollection{castellettiChoosingInfiniteAlternatives2007,
  title = {Choosing among Infinite Alternatives},
  booktitle = {Integrated and Participatory Water Resources Management Theory},
  author = {Castelletti, Andrea and Soncini-Sessa, Rodolfo},
  editor = {Soncini-Sessa, Rodolfo and Castelletti, Andrea and Weber, Enrico},
  date = {2007},
  pages = {223--242},
  publisher = {{Elsevier}},
  url = {https://doi.org/10.1016/S1574-101X(07)01108-8},
  abstract = {In Chapter 7 we understood that, even when the Decision Maker (DM) is acting in conditions of full rationality, the design of the alternatives poses three difficulties: the presence of infinite alternatives; the presence of uncertainty produced by random disturbances; and the presence of recursive decisions. In this chapter, we begin to describe the tools to overcome these difficulties by analysing the Design Problem in the simplest of cases: the case in which the actions being considered are all planning actions (Pure Planning Problem), and the only disturbances acting on the system are deterministic. When this is the case, and the alternatives to examine are finite and few in number, we know that the procedure for solving the Problem is straightforward: the indicator (objective) is assessed in correspondence with each alternative, and the alternative that provides its best value is selected. When, instead, the number of alternatives is infinite, or finite but very large, this procedure is not practicable and we meet the first of the difficulties cited above. The aim of this chapter is to define a procedure to identify, with acceptable computation times, the optimal alternative, or at least an alternative very close to it.},
  isbn = {978-0-444-53013-4},
  keywords = {*imported-from-citeulike-INRMM,~INRMM-MiD:c-11680899,catchment-scale,cyclostationarity,integrated-water-resources-management,optimisation,reservoir-management,stationarity,water-reservoir-management,water-reservoir-network,water-resources}
}

Downloads: 0