Operations Research

  1. Simulation
    1. Introduction to Simulation
      1. When to Use Simulation
        1. Types of Simulation Models
          1. Static vs. Dynamic
            1. Deterministic vs. Stochastic
              1. Continuous vs. Discrete
              2. Advantages and Disadvantages
              3. Monte Carlo Simulation
                1. Random Sampling Principles
                  1. Applications in Risk Analysis
                    1. Variance Reduction Techniques
                      1. Antithetic Variates
                        1. Control Variates
                          1. Importance Sampling
                        2. Discrete-Event Simulation
                          1. System State Variables
                            1. Event Types and Scheduling
                              1. Simulation Clock
                                1. Event List Management
                                  1. Time Advance Mechanisms
                                    1. Next-Event Time Advance
                                      1. Fixed-Increment Time Advance
                                    2. Random Number Generation
                                      1. Properties of Random Numbers
                                        1. Pseudorandom Number Generators
                                          1. Linear Congruential Generators
                                            1. Testing for Randomness
                                              1. Frequency Tests
                                                1. Runs Tests
                                                  1. Correlation Tests
                                                2. Random Variate Generation
                                                  1. Inverse Transform Method
                                                    1. Acceptance-Rejection Method
                                                      1. Composition Method
                                                        1. Special Techniques for Common Distributions
                                                        2. Input Modeling
                                                          1. Data Collection and Analysis
                                                            1. Distribution Fitting
                                                              1. Goodness-of-Fit Tests
                                                                1. Chi-Square Test
                                                                  1. Kolmogorov-Smirnov Test
                                                                  2. Parameter Estimation
                                                                  3. Output Analysis
                                                                    1. Transient vs. Steady-State Behavior
                                                                      1. Statistical Analysis of Output
                                                                        1. Confidence Interval Construction
                                                                          1. Comparison of Alternative Systems
                                                                            1. Variance Reduction in Output Analysis
                                                                            2. Verification and Validation
                                                                              1. Model Verification Techniques
                                                                                1. Model Validation Methods
                                                                                  1. Sensitivity Analysis
                                                                                    1. Documentation and Testing

                                                                                  Previous

                                                                                  11. Inventory Theory

                                                                                  Go to top

                                                                                  Next

                                                                                  13. Decision Analysis