Operations Research (OR) is a scientific approach to solving complex problems and making better decisions using mathematics, statistics, optimization, and data analysis. It helps organizations identify the most efficient way to allocate resources, reduce costs, improve productivity, and optimize processes. Today, Operations Research is widely applied in industries such as manufacturing, healthcare, transportation, logistics, finance, and government to support smarter, data-driven decision-making.

Linear Programming
Intro to OR
​Linear Programming Maximization Models (Graphical, Simplex and Software Method)
​Linear Programming Minimization Models (Graphical, Simplex and Software Method)

Special Cases of Linear Programming
​Degeneracy
​Infeasibility
​Alternate Optimal Solution (Multiple Solutions)
​Unbounded Solution
​Software Method

Duality and Post-Optimal Analysis (Sensitivity Analysis)
Definition of the Dual Problem
​Primal-Dual Relationship (The Weak and Strong Duality)
Economic Interpretation of Duality
Dual Simplex Algorithm
​Post-Optimal Analysis (Sensitivity and Shadow Price)

Integer Linear Programming
Branch and Bound Algorithm
​Gomory's Cutting Plane Algorithm
​Software Method

Special Types of LP Models
Transportation Model
​Transshipment Model
​Assignment Model

Network Models
Minimum Spanning Tree Algorithm
Shortest Route Algorithm
​​Maximum Flow Algorithm​
​Project Management: PERT & CPM