Administracja Centralna Uczelni - Wymiana międzynarodowa (S2)
Sylabus przedmiotu Operations research:
Informacje podstawowe
| Kierunek studiów | Wymiana międzynarodowa | ||
|---|---|---|---|
| Forma studiów | studia stacjonarne | Poziom | drugiego stopnia |
| Tytuł zawodowy absolwenta | |||
| Obszary studiów | — | ||
| Profil | |||
| Moduł | — | ||
| Przedmiot | Operations research | ||
| Specjalność | przedmiot wspólny | ||
| Jednostka prowadząca | Katedra Mechaniki Konstrukcji | ||
| Nauczyciel odpowiedzialny | Zbigniew Sekulski <Zbigniew.Sekulski@zut.edu.pl> | ||
| Inni nauczyciele | |||
| ECTS (planowane) | 6,0 | ECTS (formy) | 6,0 |
| Forma zaliczenia | zaliczenie | Język | angielski |
| Blok obieralny | — | Grupa obieralna | — |
Formy dydaktyczne
Wymagania wstępne
| KOD | Wymaganie wstępne |
|---|---|
| W-1 | Linear algebra, matrix calculations. |
Cele przedmiotu
| KOD | Cel modułu/przedmiotu |
|---|---|
| C-1 | The course is devoted to the mathematical methods of operations research (OR). |
Treści programowe z podziałem na formy zajęć
| KOD | Treść programowa | Godziny |
|---|---|---|
| ćwiczenia audytoryjne | ||
| T-A-1 | Formulating and solving linear programming models. | 28 |
| T-A-2 | Skills evaluation. | 2 |
| 30 | ||
| wykłady | ||
| T-W-1 | Introduction to the course | 2 |
| T-W-2 | The origins of operations research (OP) | 2 |
| T-W-3 | Problems solved using OP methods. | 2 |
| T-W-4 | Definition of a Linear Program (LP) | 2 |
| T-W-5 | Assumptions of linear programming: proportionality assumption, additivity assumption, divisibility assumption, certainty assumption. The assumptions in perspective. | 2 |
| T-W-6 | Formulating a mathematical model appropriate to OR. | 2 |
| T-W-7 | Introduction to Linear Programming. | 2 |
| T-W-8 | Formulation as a Linear Programming Problem. | 2 |
| T-W-9 | Graphical Solution. | 2 |
| T-W-10 | The linear programming model (a standard form of the model and other forms, terminology for solutions of the model). | 2 |
| T-W-11 | A corner-point feasible (CPF) solutions as extreme points (or vertices). Relationship between optimal solutions and CPF solutions. | 4 |
| T-W-12 | The essence of the simplex method. | 2 |
| T-W-13 | The simplex method in tabular form. | 2 |
| T-W-14 | Evaluation of knowledge. | 2 |
| 30 | ||
Obciążenie pracą studenta - formy aktywności
| KOD | Forma aktywności | Godziny |
|---|---|---|
| ćwiczenia audytoryjne | ||
| A-A-1 | Class participation and active engagement for developing and refining students ability to critically and productively engage with the subjects being studied. | 30 |
| A-A-2 | Preparation of homeworks. | 47 |
| A-A-3 | Preparation to skills evaluation. | 10 |
| 87 | ||
| wykłady | ||
| A-W-1 | Participation in classes. | 30 |
| A-W-2 | Self study. | 23 |
| A-W-3 | Preparation to knowledge evaluation. | 10 |
| 63 | ||
Metody nauczania / narzędzia dydaktyczne
| KOD | Metoda nauczania / narzędzie dydaktyczne |
|---|---|
| M-1 | Lectures. |
| M-2 | Exercises. |
Sposoby oceny
| KOD | Sposób oceny |
|---|---|
| S-1 | Ocena podsumowująca: Students will be expected to complete written tests, projects and homework assignments as specified by the teacher. |
| S-2 | Ocena formująca: Student attendance and participation in class sessions play a vital role in successful course completion. |
Zamierzone efekty uczenia się - wiedza
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| WM-WTMiT_2-_ABC_W01 After this course, the student will be able to: (1) formulate a linear program for common problems, (2) estimate the actual complexity of linear programming problems; (3) use the graphical method and the simplex method to solve typical linear programs, (4) discuss the results and formulate conclusions. | — | — | C-1 | T-W-12, T-W-7, T-W-4, T-W-6, T-W-13, T-W-9, T-W-11, T-W-3, T-W-2, T-W-5, T-W-8, T-W-10 | M-1 | S-1 |
Zamierzone efekty uczenia się - umiejętności
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| WM-WTMiT_2-_ABC_U01 After this course, the student will be able to: (1) formulate a linear program for common problems, (2) estimate the actual complexity of linear programming problems; (3) use the graphical method and the simplex method to solve typical linear programs, (4) discuss the results and formulate conclusions. | — | — | C-1 | T-A-1 | M-2 | S-2 |
Zamierzone efekty uczenia się - inne kompetencje społeczne i personalne
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| WM-WTMiT_2-_ABC_K01 Improvement of social and personal competencies including self-awareness, self-management, social awareness, relationship skills, responsible decision-making and others. Encouraging dialogue and mutual respect between peoples of different nations, cultures and faiths. | — | — | C-1 | T-A-1 | M-2 | S-2 |
Kryterium oceny - wiedza
| Efekt uczenia się | Ocena | Kryterium oceny |
|---|---|---|
| WM-WTMiT_2-_ABC_W01 After this course, the student will be able to: (1) formulate a linear program for common problems, (2) estimate the actual complexity of linear programming problems; (3) use the graphical method and the simplex method to solve typical linear programs, (4) discuss the results and formulate conclusions. | 2,0 | |
| 3,0 | Student possess basic knowledge on the studied subject. | |
| 3,5 | ||
| 4,0 | ||
| 4,5 | ||
| 5,0 |
Kryterium oceny - umiejętności
| Efekt uczenia się | Ocena | Kryterium oceny |
|---|---|---|
| WM-WTMiT_2-_ABC_U01 After this course, the student will be able to: (1) formulate a linear program for common problems, (2) estimate the actual complexity of linear programming problems; (3) use the graphical method and the simplex method to solve typical linear programs, (4) discuss the results and formulate conclusions. | 2,0 | |
| 3,0 | Student has basic skills related to the subject area. | |
| 3,5 | ||
| 4,0 | ||
| 4,5 | ||
| 5,0 |
Kryterium oceny - inne kompetencje społeczne i personalne
| Efekt uczenia się | Ocena | Kryterium oceny |
|---|---|---|
| WM-WTMiT_2-_ABC_K01 Improvement of social and personal competencies including self-awareness, self-management, social awareness, relationship skills, responsible decision-making and others. Encouraging dialogue and mutual respect between peoples of different nations, cultures and faiths. | 2,0 | |
| 3,0 | Student has basic competences in relation to the subject area. | |
| 3,5 | ||
| 4,0 | ||
| 4,5 | ||
| 5,0 |
Literatura podstawowa
- Frederick S. Hillier, Introduction to operations research, McGraw-Hill Education, New York, NY, 2015
- Michael W. Carter, Camille C. Price, Ghaith Rabadi, Operations Research. A Practical Introduction, Taylor & Francis Group, LLC, Broken Sound Parkway NW, 2019
- Hamdy A. Taha, Operations Research. An Introduction, Pearson Education Limited, Edinburgh Gate, 2017