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Scenario Approximations of Chance Constraints
1 references·15 citing·32 second hop
Scenario Approximations of Chance Constraints (2006)Scenario Approximations of Chance Constra…Monte Carlo Sampling Methods (2003)Monte Carlo Sampling MethodsOptimized Scenario Reduction: Solving Large-Scale Stochastic Programs with Quality Guarantees (2023)Optimized Scenario Reduction:…Technical Note—Two-Stage Sample Robust Optimization (2021)Technical Note—Two-Stage Samp…Solving Chance-Constrained Problems via a Smooth Sample-Based Nonlinear Approximation (2020)Solving Chance-Constrained Pr…Risk and complexity in scenario optimization (2019)Risk and complexity in scenar…Optimized Bonferroni approximations of distributionally robust joint chance constraints (2019)Optimized Bonferroni approxim…Wait-and-judge scenario optimization (2016)Wait-and-judge scenario optim…Scenario Min-Max Optimization and the Risk of Empirical Costs (2015)Scenario Min-Max Optimization…Monte Carlo Methods for Value-at-Risk and Conditional Value-at-Risk (2014)Monte Carlo Methods for Value…A tractable approximation of non-convex chance constrained optimization with non-Gaussian uncertainties (2014)A tractable approximation of …Advances and applications of chance-constrained approaches to systems optimisation under uncertainty (2012)Advances and applications of …On safe tractable approximations of chance constraints (2011)On safe tractable approximati…IIS branch-and-cut for joint chance-constrained stochastic programs and application to optimal vaccine allocation (2010)IIS branch-and-cut for joint …On Safe Tractable Approximations of Chance-Constrained Linear Matrix Inequalities (2009)On Safe Tractable Approximati…The exact feasibility of randomized solutions of robust convex programs (2008)The exact feasibility of rand…Simulation optimization with mathematical programming representation of discrete event systems (2008)Simulation optimization with …Stochastic Approximation Methods for Constrained and Unconstrained Systems (1978)The Sample Average Approximation Method for Stochastic Discrete Optimization (2002)Bayesian Analysis of DSGE Models (2007)Sample Average Approximation Method for Chance Constrained Programming: Theory and Applications (2009)Frameworks and Results in Distributionally Robust Optimization (2022)Uncertain convex programs: randomized solutions and confidence levels (2004)Ambiguous chance constrained problems and robust optimization (2005)Convex Approximations of Chance Constrained Programs (2006)Safe Approximations of Ambiguous Chance Constraints Using Historical Data (2012)Optimization of conditional value-at-risk (2000)Conditional value-at-risk for general loss distributions (2002)Robust Optimization (2009)Solving Chance-Constrained Optimization Problems with Stochastic Quadratic Inequalities (2016)An Inner-Outer Approximation Approach to Chance Constrained Optimization (2017)Stochastic Programming (1995)Robust solutions of uncertain linear programs (1999)A robust optimization approach for humanitarian needs assessment planning under travel time uncertainty (2019)Coherent Measures of Risk (1999)Robust Design of a Supersonic Natural Laminar Flow Wing-Body (2017)Multilevel Nested Simulation for Efficient Risk Estimation (2019)Introduction to Stochastic Programming (1998)Introduction to Stochastic Programming (2011)Pattern-Based Modeling and Solution of Probabilistically Constrained Optimization Problems (2012)Chance-constrained optimization under limited distributional information: A review of reformulations based on sampling and distributional robustness (2022)Lectures on Stochastic Programming: Modeling and Theory (2009)Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems (2010)Learning-Based Robust Optimization: Procedures and Statistical Guarantees (2020)A scenario optimization approach to reliability-based and risk-based design: Soft-constrained modulation of failure probability bounds (2021)Data-Driven Distributionally Robust Optimization Using the Wasserstein Metric: Performance Guarantees and Tractable Reformulations (2015)Chance-constrained stochastic programming under variable reliability levels with an application to humanitarian relief network design (2018)Sample-Based Neural Approximation Approach for Probabilistic Constrained Programs (2021)Soft-constrained interval predictor models and epistemic reliability intervals: A new tool for uncertainty quantification with limited experimental data (2021)
this work references cited by second hop

References

  • 2003Monte Carlo Sampling Methods916 cited

Cited by

  • 2016Wait-and-judge scenario optimization153 cited
  • 2011On safe tractable approximations of chance constraints122 cited
  • 2012Advances and applications of chance-constrained approaches to systems optimisation under uncertainty108 cited
  • 2014Monte Carlo Methods for Value-at-Risk and Conditional Value-at-Risk91 cited
  • 2019Optimized Bonferroni approximations of distributionally robust joint chance constraints84 cited
  • 2010IIS branch-and-cut for joint chance-constrained stochastic programs and application to optimal vaccine allocation78 cited
  • 2019Risk and complexity in scenario optimization77 cited
  • 2020Solving Chance-Constrained Problems via a Smooth Sample-Based Nonlinear Approximation76 cited
  • 2009On Safe Tractable Approximations of Chance-Constrained Linear Matrix Inequalities57 cited
  • 2008The exact feasibility of randomized solutions of robust convex programs54 cited
  • 2015Scenario Min-Max Optimization and the Risk of Empirical Costs53 cited
  • 2008Simulation optimization with mathematical programming representation of discrete event systems49 cited
  • 2021Technical Note—Two-Stage Sample Robust Optimization45 cited

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2023
Optimized Scenario Reduction: Solving Large-Scale Stochastic Programs with Quality Guarantees
42 cited
  • 2014A tractable approximation of non-convex chance constrained optimization with non-Gaussian uncertainties42 cited