LOG706 Mathematical Modeling in logistics is highly recommended. Some mathematical or quantitative background is needed.
After having completed the course, the candidate is supposed to:
- Be able to solve linear programming problems by using the simplex method
- Be able to solve integer and mixed integer programming problems by using the Branch-and-Bound method
- Understand the connection between the primal and the dual of an LP, and know how to convert problems from one of the formulations to the other
- Have basic knowledge about methods for solving non-linear problems
The course will mainly focus on solving problems formulated as deterministic optimization models. Modeling will be covered only briefly, as this is supposed to be known in advance. Problems treated include Linear Programming (LP) problems, Discrete Optimization problems and Nonlinear Programming problems. Emphasis will be put on the Simplex algorithm for Linear Programming and Branch and Bound search for discrete problems, but other solution methods will also be treated.
Wayne L. Winston and Munirpallam Venkataramanan. 2003. Introduction to Mathematical Programming. Thomson/Brooks/Cole. 4th edition