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Aggregation and discretization in multistage stochastic programming

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Abstract

Multistage stochastic programs have applications in many areas and support policy makers in finding rational decisions that hedge against unforeseen negative events. In order to ensure computational tractability, continuous-state stochastic programs are usually discretized; and frequently, the curse of dimensionality dictates that decision stages must be aggregated. In this article we construct two discrete, stage-aggregated stochastic programs which provide upper and lower bounds on the optimal value of the original problem. The approximate problems involve finitely many decisions and constraints, thus principally allowing for numerical solution.

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Authors and Affiliations

  1. Institute for Operations Research and Computational Finance (ior/cf-HSG), University of St. Gallen, Bodanstrasse 6, 9000, St. Gallen, Switzerland

    Daniel Kuhn

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  1. Daniel Kuhn
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Correspondence to Daniel Kuhn.

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Kuhn, D. Aggregation and discretization in multistage stochastic programming. Math. Program. 113, 61–94 (2008). https://doi.org/10.1007/s10107-006-0048-6

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  • DOI: https://doi.org/10.1007/s10107-006-0048-6

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