COURSE DESCRIPTION
Introduction to models and how models are used. Introduction to mathematical models, advantages, disadvantages. Classification of mathematical models. Mathematical model terminology; examples of mathematical needs; model formulation. Model examples; calculus-based optimization models; financial models; spreadsheet models; non-linear models. Solving simple unconstrained problems by search. Introduction to linear programming, and problem formulation. Systems of equations and matrix algebra; Simplex algorithm; Sensitivity analysis and duality; Heuristic search methods. Optional optimization applications; Transportation problem; Assignment problem; Network models; Data envelopment analysis; Other applications.
OBJECTIVES
The objectives of the course are to:
1. Introduce students to optimization problems and their applications.
2. Explain the fundamental properties of optimization problems.
3. Present various types of linear optimization problems.
4. Teach mathematical model formulation for allocation of scarce resources.
5. Provide techniques to evaluate simple optimization models.
LEARNING OUTCOMES
On successful completion of the course, students will be able to:
1. Discuss optimization problem and its applications
2. Explain the fundamental properties of an optimization problem
3. Describe various types of linear optimization problems
4. Formulate mathematical models for the allocation of scarce resources.
5. Evaluate simple models for scarce resources.
- Teacher: Aliyu Hassan Ahmad