Table of Contents
Chapter 1: Introduction to Monte Carlo Methods
Chapter 2: Cross-Entropy Method
2.2 Estimation of Rare-Event Probabilities
2.3 Cross-Entropy Method forOptimization
Chapter 3: Minimum Cross-Entropy Method
3.5 IME Method for Combinatorial Optimization
Chapter 4: Splitting Method for Counting and Optimization
4.2 Quick Glance at the Splitting Method
4.3 Splitting Algorithm with Fixed Levels
4.4 Adaptive Splitting Algorithm
4.5 Sampling Uniformly on Discrete Regions
4.6 Splitting Algorithm for Combinatorial Optimization
4.7 Enhanced Splitting Method for Counting
4.8 Application of Splitting to Reliability Models
4.9 Numerical Results with the Splitting Algorithms
Chapter 5: Stochastic Enumeration Method
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