lecture12: budget constraint model and branch and bound

This lecture introduces an simplified network design problem (the budget constraint model) and the concept of branch and bound optimization.

Topics covered

• Budget Constraint Model
• Budget Constraint Model (BCM)
• Formulation: of BCM
• BCM and the triangle inequality
• BCM and Branch and Bound
• Notation
• Integer programming
• Converting BCM into integer program
• Relationship to linear programming
• Bounds
• Branching
• Branching example
• Branch and Bound
• Branch and Bound: algorithm
• Branch and Bound: example
• Branch and Bound: algorithm
• Branch and Bound: example
• Branch and Bound