Operational Research and optimization 360-FS1-2BOPa

Course profile: academic

Form of study: stationary

Course type: facultative

Academic discipline: Mathematics, field of study in the arts and science: mathematics

Year: 2, semester: 3

Prerequisities: Mathematical Analysis, Linear Algebra

lecture 30 h exercise class (in computer laboratory) 30 h

Verification methods: lectures, exercises, consultations, studying literature, homeworks, discussions in groups.

ECTS credits: 4

Balance of student workload:

attending lectures 15x2h = 30h

attending exercise classes 15x2h = 30h

preparation for classes 7x1h = 7h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x1h = 5h

homeworks: solving exercises 15h = 15h

the final examination: preparation.and take 9h + 3h = 12h

Quantitative description

Direct interaction with the teacher: 60 h., 2 ECTS

Practical exercises: 53 h., 2 ECTS

W cyklu 2023:

Plan of classes:

1) Model of decision process
2) Linear programming, model and assumptions
3) Graphical method of solving linear programming problems
4) Simplex method
5) Dual linear problem
6) Nonlinear programming, analytical approach
7) Elements of convex analysis
8) Transportation problem, its generalizations and algorithms
9) Integer programming
10) Multicriterial decision–making
11) Optimization under risk and uncertainty
12) Computer methods in optimization

Rodzaj przedmiotu

fakultatywne

Założenia (opisowo)

Student have to know basic notions from Linear algebra and Mathematical Analysis

Koordynatorzy przedmiotu

Tomasz Czyżycki
Aneta Sliżewska

Efekty kształcenia

After classes students achieve the competence of building models and solving optimization problems including computer programming and interpretation of obtained results.

Kryteria oceniania

Final exam including practical and theoretical parts.
Final mark is according to the grading:
91% - 100% A
81% - 90% B
71% - 80% C
61% - 70% D
51% - 60% E
0% - 50% F

Literatura

1. M. Carter, C. Price, G. Rabadi Operations Research. A practical introduction, CRC Press, Taylor & Francis, 2021
2. A. Schrijver Theory of linear and integer programming, Wiley 1998
3. R.G.D. Allen Mathematical Economics, Springer 1959
4. H.A. Eisel, C.I. Sandblom Linear programming and its applications, Springer Verlag 2007

W cyklu 2023:

Więcej informacji

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Strona przedmiotu 360-FS1-2BOPa w USOSweb