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Convergent Cutting-Plane and Partial-Sampling Algorithm for Multistage Stochastic Linear Programs with Recourse
9 references·11 citing·36 second hop
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References

  • 1991Scenarios and Policy Aggregation in Optimization Under Uncertainty1,341 cited
  • 1989Annals of operations research1,324 cited
  • 1985Decomposition and Partitioning Methods for Multistage Stochastic Linear Programs588 cited
  • 1991Stochastic Decomposition: An Algorithm for Two-Stage Linear Programs with Recourse452 cited
  • 1992Stochastic Network Programming for Financial Planning Problems267 cited
  • 1996Analysis of Sample-Path Optimization248 cited
  • 1997State-of-the-Art-Survey—Stochastic Programming: Computation and Applications245 cited
  • 1992Planning under uncertainty solving large-scale stochastic linear programs220 cited
  • 1996Cut sharing for multistage stochastic linear programs with interstage dependency160 cited

Cited by

  • 2014Evaluating policies in risk-averse multi-stage stochastic programming89 cited
  • 2009A multistage stochastic programming model for the New Zealand dairy industry71 cited
  • 2005On the Convergence of Sampling-Based Decomposition Algorithms for Multistage Stochastic Programs54 cited
  • 2016Convergence Analysis of Sampling-Based Decomposition Methods for Risk-Averse Multistage Stochastic Convex Programs52 cited
  • 2018Two-stage linear decision rules for multi-stage stochastic programming44 cited

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  • 2002An algorithm for approximating piecewise linear concave functions from sample gradients40 cited
  • 2022Dynamic Inventory Repositioning in On-Demand Rental Networks38 cited
  • 2013Sharing cuts under aggregated forecasts when decomposing multi-stage stochastic programs37 cited
  • 2018Time-consistent risk-constrained dynamic portfolio optimization with transactional costs and time-dependent returns33 cited
  • 2004Assessing policy quality in multi-stage stochastic programming33 cited
  • 2021Dynamic Programs with Shared Resources and Signals: Dynamic Fluid Policies and Asymptotic Optimality22 cited