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Testing the structure of multistage stochastic programs
Authors:Jitka Dupačová  Marida Bertocchi  Vittorio Moriggia
Institution:(1) Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics Charles University in Prague, Sokolovská 83, 186 75 Praha, Czech Republic;(2) Department of Mathematics, Statistic, Computer Science and Applications, Bergamo University, Via dei Caniana 2, Bergamo, 24127, Italy
Abstract:A fixed topology of stages and/or a fixed branching scheme are common assumptions for applications and numerical solution of scenario based multistage stochastic programs. Using contamination technique to test this structure, we extend the results of Dupačová (Contamination for multistage stochastic programs. In: Hušková M, Janžura M (eds) Prague stochastics. Matfyzpress, Praha, pp 91–101, 2006a) to stochastic programs with multistage polyhedral risk objectives. The ideas are exemplified by bond portfolio management problems and complemented by illustrative numerical results.
Keywords:Contamination  Additional stages  Out-of-sample scenarios  Polyhedral risk objectives  Bond portfolio management
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