OPTIMIZATION TECHNIQUES

Type of course:	Compulsory
Language of instruction:	English
Erasmus Language of instruction:	English
Name of lecturer:	Mihaela Aldea
Seminar tutor:	Mihaela Aldea
Form of education	Full-time

Form of instruction:	Class
Number of teaching hours per semester:	42
Number of teaching hours per week:	3
Semester:	Summer
Form of receiving a credit for a course:	Grade
Number of ECTS credits allocated	4

Course aims:

First, discipline aims, learning to analyze and decide logically and rigorously.
On the other hand, it contributes to a multidisciplinary preparation of future IT specialists, aiming in this way to familiarize students with the concepts and techniques of mathematical modeling of social and economic phenomena.
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Course Entry Requirements:

Linear Algebra

Course contents:

1. Solving a linear programming problem by graphical and algebraic methods\ 2. Simplex method for solving linear programming problems 3. Duality. The dual simplex algorithm 4. Reoptimization of linear programming problems 5. Parametric linear programming 6. Transport problems. 7. Reoptimization of transport problems. 8. Parametric transport problems. 9. Special transport problem. 10. Integer linear programming – Gomory methods 11. Dantzig-Manne algorithm for solving integer linear programming problems. 12. Bellman method 13. Enumeration and evaluation methods.

Teaching methods:

Lecture, conversation, exemplification.

Learning outcomes:

Knowing the mathematical basic elements of optimization algorithms, familiarity with the use of optimization techniques and algorithms to solve problems.

Learning outcomes verification and assessment criteria:

Written paper – 50%; continuous assessment – 50%.