Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
A Heuristic for Moment-Matching Scenario Generation
Computational Optimization and Applications
Scenario Reduction Algorithms in Stochastic Programming
Computational Optimization and Applications
Applications of Stochastic Programming (Mps-Siam Series on Optimization) (Mps-Saimseries on Optimization)
Computational study of large-scale p-Median problems
Mathematical Programming: Series A and B
The Scenario Generation Algorithm for Multistage Stochastic Linear Programming
Mathematics of Operations Research
Stability of $\varepsilon$-approximate Solutions to Convex Stochastic Programs
SIAM Journal on Optimization
Aggregation and discretization in multistage stochastic programming
Mathematical Programming: Series A and B
Epi-convergent discretizations of multistage stochastic programs via integration quadratures
Mathematical Programming: Series A and B - Nonlinear convex optimization and variational inequalities
Scenario tree modeling for multistage stochastic programs
Mathematical Programming: Series A and B
Scenario reduction in stochastic programming with respect to discrepancy distances
Computational Optimization and Applications
A note on scenario reduction for two-stage stochastic programs
Operations Research Letters
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Stochastic programming problems appear as mathematical models for optimization problems under stochastic uncertainty. Most computational approaches for solving such models are based on approximating the underlying probability distribution by a probability measure with finite support. Since the computational complexity for solving stochastic programs gets worse when increasing the number of atoms (or scenarios), it is sometimes necessary to reduce their number. Techniques for scenario reduction often require fast heuristics for solving combinatorial subproblems. Available techniques are reviewed and open problems are discussed.