Course syllabus OM - Optimization Methods (FBE - WS 2019/2020)

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Course code:
OM
Course title in Czech:
Optimization Methods
Course title in English: Optimization Methods
Semester:
WS 2019/2020
Mode of completion and number of credits: Exam (5 credits)
Mode of delivery and timetabled classes:
full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Level of course:
master continuing
Course type: required
Type of delivery: usual
Mode of delivery for our mobility students abroad:
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Language of instruction: Czech
Course supervisor:
doc. Ing. Mgr. Jitka Janová, Ph.D.
Course supervising department: Department of Statistics and Operation Analysis (FBE)
Faculty:
Faculty of Business and Economics
Teachers:
doc. Ing. Mgr. Jitka Janová, Ph.D. (supervisor)
Ing. Jakub Šácha, Ph.D. (examiner, instructor, lecturer)
Prerequisites: Final Bachelor Exam
 
Timetable in this semester:
Day
From-till
Room
Teacher
Entry
Frequency
Capacity
Tuesday
9.00-10.50
Q36J. ŠáchaLecture
Every week
24
Wednesday
11.00-12.50
Q36
J. Šácha
Seminar
Every week
24
 
Aim of the course and learning outcomes:
Learning to formulate, solve and interpret typical models of decision making problems using the basic methods of operations research.
 
Course content:
1.
Introduction to optimization methods. (allowance 4/4)
 
a.
Basic concepts of operations research.
b.
Classification of optimization methods and their characteristics.

2.Linear programming. (allowance 10/10)
 
a.Formulation of the general problem of linear programming and its properties, geometric interpretation and economic solutions.
b.Simplex method.
c.
The principle of duality.
d.
Transport tasks.
e.
Assignment problem.

3.Multicriteria decision (allowance 4/4)
 
a.
Multiple criteria evaluation of alternatives.
b.
Multiobjective programming.

4.
Theory of games (allowance 6/6)
 
a.
Conflicting decision situation.
b.
Matrix games.

5.
Inventory management. (allowance 2/2)
6.
Queuing Models (allowance 2/2)
Learning activities and teaching methods:
Type of teaching methodDaily attendance
lecture
28 h
practice
28 h
preparation for exam42 h
preparation for regular assessment
14 h
preparation for regular testing14 h
elaboration and execution of projects
14 h
Total
140 h
 
Assessment methods:
The course is finished by exam, which is carried out in a written form. This written exam consists of four practical tasks and a theoretical question. For processing each task as well as the answer to the theoretical question it may be obtained from 0 to 10 points. To pass the exam, it must be obtained at least 25 points.
 
Assessment criteria ratio:
Requirement type
Daily attendance
Total
0 %
 
Recomended reading and other learning resources:
Basic:
HOLOUBEK, J. Ekonomicko-matematické metody. Brno: Mendelova univerzita v Brně, 2010. 153 p. ISBN 978-80-7375-411-2.
JABLONSKÝ, J. Operační výzkum: kvantitativní modely pro ekonomické rozhodování. 3rd ed. Praha: Professional Publishing, 2007. 323 p. ISBN 978-80-86946-44-3.

Recommended:
TYC, O. Operační výzkum Skripum PEF MZLU, 124 stran, ISBN 80-7157-726-X. 1st ed. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 2003. 126 p. 1,2024. ISBN 80-7157-726-X.
STEVENSON, W J. Introduction to management science with spreadsheets. Chennai: McGraw Hill Education (India) Private Limited, 2007. 812 p. The McGraw-Hill/Irwin series operations and decision sciences. ISBN 978-0-07-299066-9.
STEVENSON, W J. Operations management. 8th ed. Boston: McGraw-Hill, 2005. 871 p. The McGraw-Hill/Irwin series operations and decision sciences. ISBN 0-07-111218-9.

Course listed in study plans for this semester:
Field of study C-II-CAI Automation Control and Informatics, full-time form, initial period SS 2018/2019
Field of study C-II-CAI Automation Control and Informatics, full-time form, initial period WS 2019/2020
 
Course listed in previous semesters: WS 2020/2021, WS 2018/2019, WS 2017/2018, WS 2016/2017, WS 2015/2016, WS 2014/2015 (and older)
Teaching place:
Brno


Last modification made by Ing. Jiří Gruber on 09/05/2019.

Type of output: