Lecture 6

Learning objectives

After this class, you should be able to:

1. Define a linear program and its standard form. Define the following terms: feasible solution, feasible region, objective function, objective value, integer linear program, and constraint.
2. Given a linear program, write an equivalent one in standard form.
3. Given a problem, formulate it as a linear program or as an integer linear program.

Reading assignment

1. CLR: Chapter 29, up to (and including) section 29.2.

Exercises and review questions

• Questions on current lecture's material
  1. CLR: Exercise 29.1-2, but one feasible solution is sufficient.
  2. CLR: Exercise 29.1-4.
  3. Formulate Vertex Cover as an integer linear program.
  4. (Post your answer on the discussion board) Give an application for linear programming.

• Questions on next lecture's material
  1. None.