Course syllabus OM - Optimization Methods (FBE - WS 2017/2018)


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Course code: OM
Course title in language of instruction: Optimalizační metody
Course title in Czech: Optimization Methods
Course title in English: Optimization Methods
Mode of completion and number of credits: Exam (5 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes: full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Language of instruction: Czech
Level of course: master continuing
Semester: WS 2017/2018
Name of lecturer: doc. Ing. Mgr. Jitka Janová, Ph.D. (supervisor)
Ing. Jakub Šácha, Ph.D. (examiner, instructor, lecturer)
Prerequisites: Final Bachelor Exam
 
Aims of the course:
Learning to formulate, solve and interpret typical models of decision making problems using the basic methods of operations research.
 
Course contents:
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 outcomes and competences:
Generic competences:
 
-ability to analyse and synthesize
-ability to make decisions
-ability to organize and plan ahead
-ability to solve problems
-ability to work independently
-basic computing skills
-general knowledge

Specific competences:
 
-Student is able according to the character of the problem choose suitable method for its solving and to solve it.
-Student knows clearly interpret result obtained by problem solving.
-Student knows correctly construct mathematical or graphical model of solved problem.
-Student will acquire basic Operations Research terminology and will be able to describe solving procedure of given problem.

Type of course unit: required
Year of study: Not applicable - the subject could be chosen at anytime during the course of the programme.
Work placement: There is no compulsory work placement in the course unit.
Recommended study modules: -
 
Learning activities and study load (hours of study load):
Type of teaching methodDaily attendance
Direct teaching
     lecture28 h
     practice28 h
Self-study
     preparation for exam42 h
     preparation for regular assessment14 h
     preparation for regular testing14 h
     elaboration and execution of projects14 h
Total140 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.
 
Recommended reading:
TypeAuthorTitlePublished inPublisherYearISBN
RQHOLOUBEK, J.Ekonomicko-matematické metodyBrnoMendelova univerzita v Brně2010978-80-7375-411-2
RQJABLONSKÝ, J.Operační výzkum: kvantitativní modely pro ekonomické rozhodováníPrahaProfessional Publishing2007978-80-86946-44-3
RETYC, O.Operační výzkum Skripum PEF MZLU, 124 stran, ISBN 80-7157-726-XBrnoMendelova zemědělská a lesnická univerzita v Brně200380-7157-726-X
RESTEVENSON, W J. -- OZGUR, C.Introduction to management science with spreadsheetsBostonMcGraw-Hill/Irwin2007978-0-07-299066-9
RESTEVENSON, W J.Operations managementBostonMcGraw-Hill20050-07-111218-9

RQrequired
RErecommended


Last modification made by Ing. Jiří Gruber on 05/23/2017.

Type of output: