lecture10: concave costs and related issues

The lecture considers some generic issues regarding concave costs, and the resultant multi-commodity flow optimization problem, which is a general form of the network design problem.

Topics covered

• Notation recap
• Multicommodity flow problem
• A simplified problem
• Formal problem specification
• Typical cost function
• Concave
• Concave costs
• Concave costs and routing
• Example of single path routing
• Concave costs and routing: proof
• Concave costs and routing
• Heuristic Method
• The point
• Example with linear costs