Decision Support Systems

  1. Model Management for Decision Support
    1. Modeling Fundamentals
      1. Purpose of Models in DSS
        1. Reality Abstraction
          1. Complexity Reduction
            1. Scenario Analysis
              1. Decision Alternatives
              2. Model Selection Criteria
                1. Problem Appropriateness
                  1. Data Requirements
                    1. Computational Complexity
                      1. User Understanding
                    2. Model Classification
                      1. Physical Models
                        1. Scale Models
                          1. Proportional Representation
                            1. Visualization Benefits
                              1. Prototype Development
                              2. Mock-ups
                                1. Design Validation
                                  1. User Testing
                                    1. Concept Communication
                                  2. Analog Models
                                    1. Flow Diagrams
                                      1. Process Representation
                                        1. System Mapping
                                          1. Relationship Visualization
                                          2. Organizational Charts
                                            1. Hierarchy Representation
                                              1. Role Relationships
                                                1. Communication Paths
                                              2. Mathematical Models
                                                1. Algebraic Models
                                                  1. Equation Systems
                                                    1. Variable Relationships
                                                      1. Constraint Representation
                                                      2. Statistical Models
                                                        1. Probability Distributions
                                                          1. Hypothesis Testing
                                                            1. Correlation Analysis
                                                            2. Geometric Models
                                                              1. Spatial Relationships
                                                                1. Dimensional Analysis
                                                                  1. Coordinate Systems
                                                              2. Optimization Models
                                                                1. Linear Programming
                                                                  1. Problem Formulation
                                                                    1. Objective Function
                                                                      1. Constraint Definition
                                                                        1. Variable Specification
                                                                        2. Solution Methods
                                                                          1. Simplex Method
                                                                            1. Interior Point Methods
                                                                              1. Dual Simplex
                                                                              2. Sensitivity Analysis
                                                                                1. Parameter Changes
                                                                                  1. Shadow Prices
                                                                                    1. Stability Regions
                                                                                  2. Integer Programming
                                                                                    1. Binary Variables
                                                                                      1. Mixed Integer Models
                                                                                        1. Branch and Bound
                                                                                        2. Goal Programming
                                                                                          1. Multiple Objectives
                                                                                            1. Priority Levels
                                                                                              1. Goal Weights
                                                                                                1. Achievement Functions
                                                                                                2. Deviation Variables
                                                                                                  1. Positive Deviations
                                                                                                    1. Negative Deviations
                                                                                                      1. Penalty Functions
                                                                                                    2. Network Optimization
                                                                                                      1. Shortest Path Problems
                                                                                                        1. Maximum Flow Problems
                                                                                                          1. Minimum Cost Flow
                                                                                                        2. Simulation Models
                                                                                                          1. Monte Carlo Simulation
                                                                                                            1. Random Number Generation
                                                                                                              1. Pseudo-random Sequences
                                                                                                                1. Random Variable Sampling
                                                                                                                  1. Distribution Fitting
                                                                                                                  2. Scenario Generation
                                                                                                                    1. Input Modeling
                                                                                                                      1. Parameter Estimation
                                                                                                                        1. Correlation Handling
                                                                                                                        2. Risk Analysis
                                                                                                                          1. Uncertainty Quantification
                                                                                                                            1. Probability Distributions
                                                                                                                              1. Confidence Intervals
                                                                                                                            2. Discrete Event Simulation
                                                                                                                              1. Event Scheduling
                                                                                                                                1. Event Lists
                                                                                                                                  1. Time Advancement
                                                                                                                                    1. Event Processing
                                                                                                                                    2. System Modeling
                                                                                                                                      1. Entity Modeling
                                                                                                                                        1. Resource Modeling
                                                                                                                                          1. Queue Management
                                                                                                                                          2. Performance Analysis
                                                                                                                                            1. Throughput Metrics
                                                                                                                                              1. Utilization Rates
                                                                                                                                                1. Waiting Times
                                                                                                                                              2. System Dynamics
                                                                                                                                                1. Stock and Flow Models
                                                                                                                                                  1. Feedback Loops
                                                                                                                                                    1. Causal Relationships
                                                                                                                                                    2. Agent-based Modeling
                                                                                                                                                      1. Individual Agents
                                                                                                                                                        1. Interaction Rules
                                                                                                                                                          1. Emergent Behavior
                                                                                                                                                        2. Statistical and Forecasting Models
                                                                                                                                                          1. Regression Models
                                                                                                                                                            1. Simple Linear Regression
                                                                                                                                                              1. Correlation Analysis
                                                                                                                                                                1. Least Squares Method
                                                                                                                                                                  1. Residual Analysis
                                                                                                                                                                  2. Multiple Regression
                                                                                                                                                                    1. Variable Selection
                                                                                                                                                                      1. Multicollinearity
                                                                                                                                                                        1. Model Validation
                                                                                                                                                                        2. Non-linear Regression
                                                                                                                                                                          1. Polynomial Models
                                                                                                                                                                            1. Exponential Models
                                                                                                                                                                              1. Logarithmic Models
                                                                                                                                                                            2. Time Series Models
                                                                                                                                                                              1. Trend Models
                                                                                                                                                                              2. Seasonal Models
                                                                                                                                                                                1. Additive Seasonality
                                                                                                                                                                                  1. Multiplicative Seasonality
                                                                                                                                                                                    1. Seasonal Indices
                                                                                                                                                                                    2. ARIMA Models
                                                                                                                                                                                      1. Autoregressive Components
                                                                                                                                                                                        1. Moving Average Components
                                                                                                                                                                                          1. Differencing Operations
                                                                                                                                                                                        2. Econometric Models
                                                                                                                                                                                          1. Demand Forecasting
                                                                                                                                                                                            1. Price Elasticity
                                                                                                                                                                                              1. Market Response Models
                                                                                                                                                                                            2. Financial Models
                                                                                                                                                                                              1. Investment Analysis
                                                                                                                                                                                                1. Net Present Value
                                                                                                                                                                                                  1. Internal Rate of Return
                                                                                                                                                                                                    1. Payback Period
                                                                                                                                                                                                      1. Profitability Index
                                                                                                                                                                                                      2. Risk Assessment Models
                                                                                                                                                                                                        1. Value at Risk
                                                                                                                                                                                                          1. Credit Risk Models
                                                                                                                                                                                                            1. Portfolio Optimization
                                                                                                                                                                                                            2. Budgeting Models
                                                                                                                                                                                                              1. Operating Budgets
                                                                                                                                                                                                                1. Capital Budgets
                                                                                                                                                                                                                  1. Cash Flow Models
                                                                                                                                                                                                                2. Heuristic Models
                                                                                                                                                                                                                  1. Rule-based Systems
                                                                                                                                                                                                                    1. If-then Rules
                                                                                                                                                                                                                      1. Rule Hierarchies
                                                                                                                                                                                                                        1. Conflict Resolution
                                                                                                                                                                                                                        2. Genetic Algorithms
                                                                                                                                                                                                                          1. Population Evolution
                                                                                                                                                                                                                            1. Selection Mechanisms
                                                                                                                                                                                                                              1. Crossover Operations
                                                                                                                                                                                                                                1. Mutation Processes
                                                                                                                                                                                                                                2. Approximation Methods
                                                                                                                                                                                                                                  1. Greedy Algorithms
                                                                                                                                                                                                                                    1. Local Search
                                                                                                                                                                                                                                      1. Metaheuristics
                                                                                                                                                                                                                                    2. Model Analysis Techniques
                                                                                                                                                                                                                                      1. What-if Analysis
                                                                                                                                                                                                                                        1. Parameter Variation
                                                                                                                                                                                                                                          1. Single Parameter Changes
                                                                                                                                                                                                                                            1. Multiple Parameter Changes
                                                                                                                                                                                                                                              1. Scenario Comparison
                                                                                                                                                                                                                                              2. Impact Assessment
                                                                                                                                                                                                                                                1. Output Sensitivity
                                                                                                                                                                                                                                                  1. Result Interpretation
                                                                                                                                                                                                                                                    1. Decision Implications
                                                                                                                                                                                                                                                  2. Sensitivity Analysis
                                                                                                                                                                                                                                                    1. Local Sensitivity
                                                                                                                                                                                                                                                      1. Partial Derivatives
                                                                                                                                                                                                                                                        1. Elasticity Measures
                                                                                                                                                                                                                                                          1. Gradient Analysis
                                                                                                                                                                                                                                                          2. Global Sensitivity
                                                                                                                                                                                                                                                            1. Parameter Ranges
                                                                                                                                                                                                                                                              1. Interaction Effects
                                                                                                                                                                                                                                                                1. Robustness Testing
                                                                                                                                                                                                                                                              2. Goal Seeking
                                                                                                                                                                                                                                                                1. Target Setting
                                                                                                                                                                                                                                                                  1. Desired Outcomes
                                                                                                                                                                                                                                                                    1. Constraint Satisfaction
                                                                                                                                                                                                                                                                      1. Feasibility Analysis
                                                                                                                                                                                                                                                                      2. Backward Calculation
                                                                                                                                                                                                                                                                        1. Input Determination
                                                                                                                                                                                                                                                                          1. Parameter Adjustment
                                                                                                                                                                                                                                                                            1. Solution Convergence
                                                                                                                                                                                                                                                                        2. Model Base Management
                                                                                                                                                                                                                                                                          1. Model Storage Systems
                                                                                                                                                                                                                                                                            1. Model Libraries
                                                                                                                                                                                                                                                                              1. Categorization Schemes
                                                                                                                                                                                                                                                                                1. Version Control
                                                                                                                                                                                                                                                                                  1. Access Management
                                                                                                                                                                                                                                                                                  2. Model Repositories
                                                                                                                                                                                                                                                                                    1. Centralized Storage
                                                                                                                                                                                                                                                                                      1. Distributed Systems
                                                                                                                                                                                                                                                                                        1. Cloud-based Storage
                                                                                                                                                                                                                                                                                      2. Model Integration
                                                                                                                                                                                                                                                                                        1. Model Chaining
                                                                                                                                                                                                                                                                                          1. Sequential Processing
                                                                                                                                                                                                                                                                                            1. Data Flow Management
                                                                                                                                                                                                                                                                                              1. Result Propagation
                                                                                                                                                                                                                                                                                              2. Model Composition
                                                                                                                                                                                                                                                                                                1. Hierarchical Models
                                                                                                                                                                                                                                                                                                  1. Modular Design
                                                                                                                                                                                                                                                                                                    1. Component Reuse
                                                                                                                                                                                                                                                                                                  2. Model Validation
                                                                                                                                                                                                                                                                                                    1. Verification Procedures
                                                                                                                                                                                                                                                                                                      1. Logic Checking
                                                                                                                                                                                                                                                                                                        1. Code Review
                                                                                                                                                                                                                                                                                                          1. Unit Testing
                                                                                                                                                                                                                                                                                                          2. Validation Methods
                                                                                                                                                                                                                                                                                                            1. Historical Testing
                                                                                                                                                                                                                                                                                                              1. Cross-validation
                                                                                                                                                                                                                                                                                                                1. Expert Review
                                                                                                                                                                                                                                                                                                              2. Model Maintenance
                                                                                                                                                                                                                                                                                                                1. Performance Monitoring
                                                                                                                                                                                                                                                                                                                  1. Accuracy Tracking
                                                                                                                                                                                                                                                                                                                    1. Execution Time
                                                                                                                                                                                                                                                                                                                      1. Resource Usage
                                                                                                                                                                                                                                                                                                                      2. Model Updates
                                                                                                                                                                                                                                                                                                                        1. Parameter Recalibration
                                                                                                                                                                                                                                                                                                                          1. Structure Modifications
                                                                                                                                                                                                                                                                                                                            1. Version Management

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                                                                                                                                                                                                                                                                                                                      3. Data Management for Decision Support

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                                                                                                                                                                                                                                                                                                                      5. User Interface and Visualization