Business Analytics

  1. Prescriptive Analytics
    1. Optimization Fundamentals
      1. Problem Formulation
        1. Decision Variables
          1. Objective Function
            1. Constraints
            2. Feasible Region
              1. Constraint Boundaries
                1. Corner Point Solutions
                2. Optimization Types
                  1. Maximization vs. Minimization
                    1. Single vs. Multi-objective
                  2. Linear Programming
                    1. Mathematical Formulation
                      1. Standard Form
                        1. Canonical Form
                        2. Graphical Solution Method
                          1. Two-Variable Problems
                            1. Feasible Region Identification
                              1. Optimal Solution Finding
                              2. Simplex Method
                                1. Algorithm Steps
                                  1. Tableau Method
                                    1. Degeneracy and Cycling
                                    2. Sensitivity Analysis
                                      1. Shadow Prices
                                        1. Allowable Ranges
                                          1. What-if Analysis
                                          2. Duality Theory
                                            1. Primal and Dual Problems
                                              1. Weak and Strong Duality
                                                1. Economic Interpretation
                                              2. Integer Programming
                                                1. Problem Types
                                                  1. Pure Integer Programming
                                                    1. Mixed Integer Programming
                                                      1. Binary Integer Programming
                                                      2. Solution Methods
                                                        1. Branch and Bound
                                                          1. Cutting Planes
                                                            1. Branch and Cut
                                                            2. Applications
                                                              1. Assignment Problems
                                                                1. Knapsack Problems
                                                                  1. Facility Location
                                                                2. Nonlinear Programming
                                                                  1. Problem Characteristics
                                                                    1. Convex vs. Non-convex
                                                                      1. Constrained vs. Unconstrained
                                                                      2. Solution Methods
                                                                        1. Gradient Descent
                                                                          1. Newton's Method
                                                                            1. Lagrange Multipliers
                                                                          2. Network Optimization
                                                                            1. Network Flow Problems
                                                                              1. Minimum Cost Flow
                                                                                1. Maximum Flow
                                                                                  1. Shortest Path
                                                                                  2. Transportation Problems
                                                                                    1. Supply and Demand Constraints
                                                                                      1. Vogel's Approximation Method
                                                                                      2. Assignment Problems
                                                                                        1. Hungarian Algorithm
                                                                                          1. Bipartite Matching
                                                                                        2. Simulation Modeling
                                                                                          1. Monte Carlo Simulation
                                                                                            1. Random Number Generation
                                                                                              1. Probability Distributions
                                                                                                1. Variance Reduction Techniques
                                                                                                2. Discrete Event Simulation
                                                                                                  1. Event Scheduling
                                                                                                    1. System State Variables
                                                                                                      1. Performance Measures
                                                                                                      2. Agent-Based Modeling
                                                                                                        1. Individual Agent Behavior
                                                                                                          1. Emergent System Properties
                                                                                                        2. Decision Analysis
                                                                                                          1. Decision Trees
                                                                                                            1. Decision Nodes
                                                                                                              1. Chance Nodes
                                                                                                                1. Expected Value Calculation
                                                                                                                  1. Decision Criteria
                                                                                                                  2. Multi-Criteria Decision Analysis
                                                                                                                    1. Analytic Hierarchy Process
                                                                                                                      1. TOPSIS Method
                                                                                                                        1. Weighted Scoring Models
                                                                                                                        2. Game Theory
                                                                                                                          1. Strategic Decision Making
                                                                                                                            1. Nash Equilibrium
                                                                                                                              1. Zero-sum Games
                                                                                                                              2. Real Options Analysis
                                                                                                                                1. Option Valuation
                                                                                                                                  1. Flexibility Value
                                                                                                                                    1. Investment Timing

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                                                                                                                                8. Analytics Tools and Technologies