Business Analytics

7.

Prescriptive Analytics

7.1.

Optimization Fundamentals

7.1.1.

Problem Formulation

7.1.1.1.

Decision Variables

7.1.1.2.

Objective Function

7.1.1.3.

7.1.2.

Feasible Region

7.1.2.1.

Constraint Boundaries

7.1.2.2.

Corner Point Solutions

7.1.3.

Optimization Types

7.1.3.1.

Maximization vs. Minimization

7.1.3.2.

Single vs. Multi-objective

7.2.

Linear Programming

7.2.1.

Mathematical Formulation

7.2.1.1.

7.2.1.2.

7.2.2.

Graphical Solution Method

7.2.2.1.

Two-Variable Problems

7.2.2.2.

Feasible Region Identification

7.2.2.3.

Optimal Solution Finding

7.2.3.

7.2.3.1.

Algorithm Steps

7.2.3.2.

7.2.3.3.

Degeneracy and Cycling

7.2.4.

Sensitivity Analysis

7.2.4.1.

7.2.4.2.

Allowable Ranges

7.2.4.3.

What-if Analysis

7.2.5.

7.2.5.1.

Primal and Dual Problems

7.2.5.2.

Weak and Strong Duality

7.2.5.3.

Economic Interpretation

7.3.

Integer Programming

7.3.1.

7.3.1.1.

Pure Integer Programming

7.3.1.2.

Mixed Integer Programming

7.3.1.3.

Binary Integer Programming

7.3.2.

Solution Methods

7.3.2.1.

Branch and Bound

7.3.2.2.

7.3.2.3.

7.3.3.

7.3.3.1.

Assignment Problems

7.3.3.2.

Knapsack Problems

7.3.3.3.

Facility Location

7.4.

Nonlinear Programming

7.4.1.

Problem Characteristics

7.4.1.1.

Convex vs. Non-convex

7.4.1.2.

Constrained vs. Unconstrained

7.4.2.

Solution Methods

7.4.2.1.

Gradient Descent

7.4.2.2.

Newton's Method

7.4.2.3.

Lagrange Multipliers

7.5.

Network Optimization

7.5.1.

Network Flow Problems

7.5.1.1.

Minimum Cost Flow

7.5.1.2.

7.5.1.3.

7.5.2.

Transportation Problems

7.5.2.1.

Supply and Demand Constraints

7.5.2.2.

Vogel's Approximation Method

7.5.3.

Assignment Problems

7.5.3.1.

Hungarian Algorithm

7.5.3.2.

Bipartite Matching

7.6.

Simulation Modeling

7.6.1.

Monte Carlo Simulation

7.6.1.1.

Random Number Generation

7.6.1.2.

Probability Distributions

7.6.1.3.

Variance Reduction Techniques

7.6.2.

Discrete Event Simulation

7.6.2.1.

Event Scheduling

7.6.2.2.

System State Variables

7.6.2.3.

Performance Measures

7.6.3.

Agent-Based Modeling

7.6.3.1.

Individual Agent Behavior

7.6.3.2.

Emergent System Properties

7.7.

Decision Analysis

7.7.1.

7.7.1.1.

7.7.1.2.

7.7.1.3.

Expected Value Calculation

7.7.1.4.

Decision Criteria

7.7.2.

Multi-Criteria Decision Analysis

7.7.2.1.

Analytic Hierarchy Process

7.7.2.2.

7.7.2.3.

Weighted Scoring Models

7.7.3.

7.7.3.1.

Strategic Decision Making

7.7.3.2.

Nash Equilibrium

7.7.3.3.

7.7.4.

Real Options Analysis

7.7.4.1.

Option Valuation

7.7.4.2.

Flexibility Value

7.7.4.3.

Investment Timing

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