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Gradient Formulae for Nonlinear Probabilistic Constraints with Gaussian and Gaussian-Like Distributions
11 references·13 citing·38 second hop
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this work references cited by second hop

References

  • 1959Chance-Constrained Programming2,748 cited
  • 1996Structural Reliability Methods2,192 cited
  • 2000Robust solutions of Linear Programming problems contaminated with uncertain data1,745 cited
  • 1995Stochastic Programming1,539 cited
  • 2006Convex Approximations of Chance Constrained Programs1,163 cited
  • 2009Sample Average Approximation Method for Chance Constrained Programming: Theory and Applications524 cited
  • 2000Concavity and efficient points of discrete distributions in probabilistic programming211 cited
  • 1995Derivatives of probability functions and some applications103 cited
  • 2007Extensions of Stochastic Optimization Results to Problems with System Failure Probability Functions55 cited
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Cited by

  • 2020Solving Chance-Constrained Problems via a Smooth Sample-Based Nonlinear Approximation76 cited
  • 2017An Inner-Outer Approximation Approach to Chance Constrained Optimization70 cited
  • 2016Solving Chance-Constrained Optimization Problems with Stochastic Quadratic Inequalities66 cited
  • 2014Constrained Bundle Methods for Upper Inexact Oracles with Application to Joint Chance Constrained Energy Problems

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65 cited
  • 2017Properties of Chance Constraints in Infinite Dimensions with an Application to PDE Constrained Optimization43 cited
  • 2016Probabilistic optimization via approximate p-efficient points and bundle methods40 cited
  • 2018Eventual convexity of probability constraints with elliptical distributions36 cited
  • 2017A joint model of probabilistic/robust constraints for gas transport management in stationary networks35 cited
  • 2018Solving chance constrained optimal control problems in aerospace via kernel density estimation33 cited
  • 2016A polyhedral study on chance constrained program with random right-hand side30 cited
  • 2015Probabilistic constraints via SQP solver: application to a renewable energy management problem30 cited
  • 2016Segmental multi-point linearization for parameter sensitivity approximation in reliability analysis21 cited
  • 2023HIGH-DIMENSIONAL STOCHASTIC DESIGN OPTIMIZATION UNDER DEPENDENT RANDOM VARIABLES BY A DIMENSIONALLY DECOMPOSED GENERALIZED POLYNOMIAL CHAOS EXPANSION7 cited