Operations Research and Optimization

  1. Decision Analysis
    1. Decision Problem Structure
      1. Decision Elements
        1. Decision Maker
          1. Decision Alternatives
            1. States of Nature
              1. Outcomes
              2. Decision Environment
                1. Certainty
                  1. Risk
                    1. Uncertainty
                    2. Payoff Tables
                      1. Payoff Matrix Construction
                        1. Profit Payoffs
                          1. Cost Payoffs
                            1. Regret Tables
                          2. Decision Making Under Uncertainty
                            1. Decision Criteria
                              1. Maximax Criterion
                                1. Maximin Criterion
                                  1. Minimax Regret Criterion
                                    1. Laplace Criterion
                                      1. Hurwicz Criterion
                                      2. Criterion Selection
                                        1. Risk Attitude
                                          1. Problem Context
                                            1. Criterion Comparison
                                          2. Decision Making Under Risk
                                            1. Expected Value Approach
                                              1. Expected Monetary Value
                                                1. Expected Opportunity Loss
                                                  1. Risk-Neutral Decision Making
                                                  2. Decision Trees
                                                    1. Tree Construction
                                                      1. Chance Nodes
                                                        1. Decision Nodes
                                                          1. Rollback Analysis
                                                            1. Sensitivity Analysis
                                                            2. Value of Information
                                                              1. Expected Value of Perfect Information
                                                                1. Expected Value of Sample Information
                                                                  1. Information Economics
                                                                2. Utility Theory
                                                                  1. Utility Functions
                                                                    1. Utility Axioms
                                                                      1. Utility Assessment
                                                                        1. Utility Curves
                                                                        2. Risk Attitudes
                                                                          1. Risk Aversion
                                                                            1. Risk Neutrality
                                                                              1. Risk Seeking
                                                                              2. Expected Utility Maximization
                                                                                1. Utility-Based Decisions
                                                                                  1. Certainty Equivalent
                                                                                    1. Risk Premium
                                                                                    2. Multi-Attribute Utility
                                                                                      1. Multiple Objectives
                                                                                        1. Attribute Scaling
                                                                                          1. Utility Independence
                                                                                        2. Behavioral Decision Making
                                                                                          1. Cognitive Biases
                                                                                            1. Anchoring Bias
                                                                                              1. Availability Heuristic
                                                                                                1. Representativeness Heuristic
                                                                                                2. Prospect Theory
                                                                                                  1. Reference Points
                                                                                                    1. Loss Aversion
                                                                                                      1. Probability Weighting
                                                                                                      2. Group Decision Making
                                                                                                        1. Group Dynamics
                                                                                                          1. Consensus Building
                                                                                                            1. Voting Methods

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                                                                                                        9. Simulation Modeling

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                                                                                                        11. Heuristics and Metaheuristics