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