Study programmes / C-EM Economics and Management / Operational Research
Course code:OV
Course title in language of instruction:Operační výzkum
Course title in Czech:Operační výzkum
Course title in English:Operational Research
Mode of completion and number of credits:Exam (6 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes:full-time, 2/2; part-time, 16/0
(full-time, hours of lectures per week / hours of seminars per week; part-time, lectures per period / seminars per period)
Language of instruction:Czech
Level of course:master continuing
Semester:SS 2018/2019 - FBE
Name of lecturer:doc. Ing. Mgr. Jitka Janová, Ph.D. (supervisor)
Prerequisites:Final Bachelor Exam
 
Aims of the course:The aim of the course is to present advanced mathematical methods of operational research which can be directly used as a managerial decision making support tool. This course results from Economic Mathematical Methods and continues with more sophisticated parts of Operations Research. On the end of this course students should have general knowledge of intermediate Operations research methods. Part of this course is also focused on practical applications and use of specific software.
Course contents:
1.The subject of operational research: clasification of methods, possibility of application and basic structures. (allowance 2/2)
2.Mathematical programming (allowance 14/14)
 
a.Convex programming - introduction
b.Quadratic programming
c.Stocahstic programming - the simplest methods
d.Dynamical programming - applications in managerial decision making

3.Renewal theory (allowance 2/2)
4.Inventory management (allowance 2/2)
 
a.Deterministic models
b.Stochastic models

5.Queueing models (allowance 2/2)
 
a.Exponential queueing models--M/M/1 and M/M/c
b.Optimization in the queueing models

6.Project management (allowance 2/2)
7.Some applications of game theory in managerial decision making (allowance 2/2)

Learning outcomes and competences:
Generic competences:
 
-ability to apply knowledge
-ability to make decisions
-ability to solve problems
-basic computing skills

Specific competences:
 
-Student can explain the principles of advanced operations research techniques
-Student can choose appropriate and effective method of decission problem solving
-Student is able to build and solve appropriate optimization model
-student is able to describe the solution process of decision making 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:none
Assessment methods:Two written tests verify understanding of methods for solving problems, where belongs mathematical model formulation, selection of suitable methods for problem solving and results interpretation. Time available for each test is 45 minutes. To get approach on exam, it is necessary to get at least 50 % of available points. Students with less than 50 % of point can write one re-sit. Exam is written electronically as test on computers, where students prove their understanding of Operations research methods. For passing an exam, it is necessary to get at least 50 % of available points from electronic test. Final result is calculated as a sum of points obtained from written tests and exam.
 
Learning activities and study load (hours of study load)
Type of teaching methodDaily attendanceCombined form
Direct teaching
     lecture28 h8 h
     practice28 h8 h
     consultation2 h2 h
Self-study
     preparation for exam72 h80 h
     preparation for regular assessment0 h20 h
     preparation for regular testing38 h0 h
     elaboration of reports0 h25 h
     writing of seminar paper0 h25 h
Total168 h168 h

Basic reading list
  • JABLONSKÝ, J. Operační výzkum. 3rd ed. Praha: VŠE, 2001. 305 p. ISBN 80-245-0162-7.
  • JANOVÁ, J. -- KOLMAN, P. Vybrané kapitoly z operačního výzkumu. 1st ed. Brno: Mendelova univerzita v Brně, 2011. 114 p. ISBN 978-80-7375-488-4.
Recommended reading list
  • PLEVNÝ, M. -- ŽIŽKA, M. Modelování a optimalizace v manažerském rozhodování. 1st ed. Plzeň: Západočeská univerzita, 2007. 296 p. ISBN 978-80-7043-435-2.
  • HILLIER, F S. Introduction to operations research. 9th ed. Boston: McGraw-Hill, 2010. 1047 p. ISBN 978-007-126767-0.