On the Rate of Convergence of Optimal Solutions of Monte Carlo Approximations of Stochastic Programs
From MaRDI portal
Publication:2706316
DOI10.1137/S1052623498349541zbMath0999.90023OpenAlexW2064133327WikidataQ105584161 ScholiaQ105584161MaRDI QIDQ2706316
Alexander Shapiro, Tito Homem-de-mello
Publication date: 19 March 2001
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s1052623498349541
Monte Carlo simulationconvex analysislarge deviations theorytwo-stage stochastic programming with recourse
Related Items (67)
Sample average approximation method for a class of stochastic variational inequality problems ⋮ SAMPLE AVERAGE APPROXIMATION METHOD FOR SOLVING A DETERMINISTIC FORMULATION FOR BOX CONSTRAINED STOCHASTIC VARIATIONAL INEQUALITY PROBLEMS ⋮ Reformulation and sampling to solve a stochastic network interdiction problem ⋮ The convergence of set-valued scenario approach for downside risk minimization ⋮ Chance-Constrained Programming Models and Approximations for General Stochastic Bottleneck Spanning Tree Problems ⋮ Stochastic Nash equilibrium problems: sample average approximation and applications ⋮ Graphical Convergence of Subgradients in Nonconvex Optimization and Learning ⋮ Options as silver bullets: valuation of term loans, inventory management, emissions trading and insurance risk mitigation using option theory ⋮ Multi-period stochastic programming models for two-tiered emergency medical service system ⋮ Stochastic optimization approaches for elective surgery scheduling with downstream capacity constraints: models, challenges, and opportunities ⋮ A smoothing SAA method for a stochastic mathematical program with complementarity constraints. ⋮ Optimization with Reference-Based Robust Preference Constraints ⋮ Sample average approximation with heavier tails. I: Non-asymptotic bounds with weak assumptions and stochastic constraints ⋮ A class of stochastic optimization problems with application to selective data editing ⋮ The effect of few historical data on the performance of sample average approximation method for operating room scheduling ⋮ Models and algorithms for distributionally robust least squares problems ⋮ Newsvendor-type models with decision-dependent uncertainty ⋮ Problem-driven scenario clustering in stochastic optimization ⋮ Sample average approximation for risk-averse problems: a virtual power plant scheduling application ⋮ A hybrid genetic algorithm for scheduling jobs sharing multiple resources under uncertainty ⋮ Stochastic mathematical programs with equilibrium constraints, modelling and sample average approximation ⋮ On the rates of convergence of simulation-based optimization algorithms for optimal stopping problems ⋮ Moderate Deviations and Invariance Principles for Sample Average Approximations ⋮ On the convergence of coderivative of SAA solution mapping for a parametric stochastic generalized equation ⋮ The workload balancing problem at air cargo terminals ⋮ On the convergence of coderivative of SAA solution mapping for a parametric stochastic variational inequality ⋮ Integrated supply chain planning under uncertainty using an improved stochastic approach ⋮ Simulation-based confidence bounds for two-stage stochastic programs ⋮ Confidence level solutions for stochastic programming ⋮ A class of smoothing SAA methods for a stochastic mathematical program with complementarity constraints ⋮ Chance-Constrained Surgery Planning Under Conditions of Limited and Ambiguous Data ⋮ Approximating stationary points of stochastic optimization problems in Banach space ⋮ A two-level optimization model for elective surgery scheduling with downstream capacity constraints ⋮ Generalized conditioning based approaches to computing confidence intervals for solutions to stochastic variational inequalities ⋮ On a multistage discrete stochastic optimization problem with stochastic constraints and nested sampling ⋮ Genetic algorithm based technique for solving chance constrained problems ⋮ A Central Limit Theorem and Hypotheses Testing for Risk-averse Stochastic Programs ⋮ Variance reduction for sequential sampling in stochastic programming ⋮ Solving two-stage stochastic programming problems with level decomposition ⋮ Cell-and-bound algorithm for chance constrained programs with discrete distributions ⋮ Multistep stochastic mirror descent for risk-averse convex stochastic programs based on extended polyhedral risk measures ⋮ Uniform exponential convergence of sample average random functions under general sampling with applications in stochastic programming ⋮ Uncertain convex programs: randomized solutions and confidence levels ⋮ Scheduling elective surgery under uncertainty and downstream capacity constraints ⋮ Sample size selection in optimization methods for machine learning ⋮ Some large deviations results for Latin hypercube sampling ⋮ Assessing solution quality in stochastic programs ⋮ A distributionally robust optimization approach for stochastic elective surgery scheduling with limited intensive care unit capacity ⋮ Some insights into the solution algorithms for SLP problems ⋮ The empirical behavior of sampling methods for stochastic programming ⋮ Stochastic programming approach to optimization under uncertainty ⋮ Accelerated sample average approximation method for two-stage stochastic programming with binary first-stage variables ⋮ Augmented Markov Chain Monte Carlo Simulation for Two-Stage Stochastic Programs with Recourse ⋮ Smooth sample average approximation of stationary points in nonsmooth stochastic optimization and applications ⋮ Two-Stage Stochastic Programming with Linearly Bi-parameterized Quadratic Recourse ⋮ On the Scenario-Tree Optimal-Value Error for Stochastic Programming Problems ⋮ Efficient Markov chain Monte Carlo for combined subset simulation and nonlinear finite element analysis ⋮ Statistical Optimization in High Dimensions ⋮ Analysis of models for the stochastic outpatient procedure scheduling problem ⋮ Asymptotic behaviors of semidefinite programming with a covariance perturbation ⋮ Asymptotic Results of Stochastic Decomposition for Two-Stage Stochastic Quadratic Programming ⋮ Adaptive Sequential Sample Average Approximation for Solving Two-Stage Stochastic Linear Programs ⋮ Stochastic iterative dynamic programming: a Monte Carlo approach to dual control ⋮ Overlapping Batches for the Assessment of Solution Quality in Stochastic Programs ⋮ Asymptotic behavior of solutions: an application to stochastic NLP ⋮ On rates of convergence for sample average approximations in the almost sure sense and in mean ⋮ Two-stage linear decision rules for multi-stage stochastic programming
This page was built for publication: On the Rate of Convergence of Optimal Solutions of Monte Carlo Approximations of Stochastic Programs