Course syllabus OV1 - Operational Research I (ŠAVŠ - Sklad předmětů)

     Czech          English          

Course title: Operational Research I
Semester: -- item not defined --
Course supervisor: doc. Ing. Jan Fábry, Ph.D.
Supervising department: Department of Production, Logistics and Quality Management (ŠAVŠ)
Prerequisites for registration: not Bachelor state examination
Time allowance: full-time, 2/2 (hours of lectures per week / hours of seminars per week)
part-time, 0/16 (lectures per period / seminars per period)
Type of study: usual
Form of teaching: lecture, seminar
Mode of completion and credits: Exam (4 credits)
Course objective:
Main aim of the course is to acquaint students with selected methods and models for managerial decision making support and help them in real applications in their managerial practice. The studens work with current software tools for optimization and decision making support.
Course methods: Lecture notes followed by seminars.
Course content:
1.Introduction to operations research. (allowance 2/2)
a.Mathematical modelling. Phases of decision process.
b.Basic OR fields.
c.Applications of OR models.

2.Linear programming. (allowance 2/2)
a.Mathematical models.
b.Basic definitions of LP.
c.Graphical solution of LP problems.
d.Software tools for LP problems.

3.Linear programming. (allowance 2/2)
a.Typical applications of LP models.
b.Interpretation of results (reduced costs, shadow prices).

4.Linear programming. (allowance 2/2)
a.Typical applications of LP models.
b.Special cases in solving LP problems.
c.Sensitivity analysis of LP solutions.
d.Integer LP problems and their solving.

5.Linear programming - distribution problems. (allowance 2/2)
a.Transportation problem - definition and mathematical models. Initial basic solution - northwest corner method, matrix minimum method.
b.Container transportation problem.

6.Linear programming - distribution problems. (allowance 2/2)
a.Assignment problem.
b.Travelling salesman problem.
c.Covering problem.

7.Graph theory and its applications. (allowance 2/2)
a.Basic definitions. Optimization problems on graphs.
b.Minimal spanning tree problem.
c.Shortest path problem.

8.Project management (allowance 2/2)
a.Construction of network for project management.
b.Critical Path Method.

9.Project management (allowance 2/2)
a.Program Evaluation and Review Technique.

10.Inventory management. (allowance 2/2)
a.Basic definitions. Deterministic inventory models - economic order quantity (EOQ) model.
b.EOQ model with quantity discounts.

11.Inventory management. (allowance 2/2)
a.Production order quantity (POQ) model.
b.Stochastic inventory models.

12.Waiting lines models. (allowance 2/2)
a.Structure of a waiting line system. Basic definitions.
b.Single-server exponential waiting line model.
c.Optimization in multi-server exponential waiting line model.

Learning outcomes and competences:
After completing the course, student:
-Will apply mathematical modelling procedures to elementary decision-making and optimization tasks
-Will describe elementary managerial problems that can be addressed effectively through optimization
-Will interpret and break down obtained results, including the verification and validation of the model used
-Will understand and explain the principles of optimization in typical and special managerial tasks

Teaching methods and workload (hours of workload):
Type of teaching methodDaily attendanceCombined form
Direct teaching
     Attendance of lectures24 h8 h
     Attendance of courses/seminars/tutorials24 h8 h
     Course reading and ongoing preparation14 h22 h
     Ongoing evaluation14 h0 h
     Composing of individual (seminar) work16 h32 h
     Preparation for final test20 h42 h
Total112 h112 h
Assessment methods:
Requirement typeDaily attendanceCombined form
Active lecture/seminar/workshop/tutorial participation10 %10 %
Term paper10 %30 %
Mid-term test(s)20 %0 %
Final test60 %60 %
Total100 %100 %
Course completion:
Mid-term test, seminar work and final written exam.
Support for combined/distance forms of study:
Study support guide.
Reading list:
Language of instruction: Czech
JABLONSKÝ, J. Operační výzkum.: Kvantitativní modely pro ekonomické rozhodování. 3rd ed. Praha: Professional Publishing, 2007. 323 p. ISBN 978-80-86946-44-3.
Language of instruction: English
TURBAN, E. -- MEREDITH, J R. Fundamentals of Management Science. Irwin: Homewood, 1988. ISBN 0-256-06256-0.

Language of instruction: Czech
FÁBRY, J. Matematické modelování. 1st ed. Praha: Professional Publishing, 2011. 180 p. ISBN 978-80-7431-066-9.
JABLONSKÝ, J. Programy pro matematické modelování. Praha: Oeconomica, 2011. 258 p. ISBN 978-80-245-1810-7.
Language of instruction: English
WILLIAMS, T. -- SWEENEY, D. -- ANDERSON, D. Management Science:Quantitative Approaches to Decision Making, 7th ed. New York: West Publ., 1994.

Study plans:
B-EM-BAL Business Administration and Operations, Logistics and Quality Management, full-time form, initial academic year WS 2013/2014
B-EM-BAL Business Administration and Operations, Logistics and Quality Management, part-time form, initial academic year WS 2013/2014
Track BLMK Logistics and Quality Management part-time form, initial academic year WS 2019/2020
Track BLMKE Logistics and Quality Management full-time form, initial academic year WS 2019/2020
Track BLMK Logistics and Quality Management full-time form, initial academic year WS 2019/2020
B-PM Průmyslový management, full-time form, initial academic year WS 2019/2020
Run in the period of: WS 2019/2020, WS 2018/2019, WS 2017/2018, WS 2016/2017, WS 2015/2016, SS 2012/2013   (and older)
Course tutor: doc. Ing. Jan Fábry, Ph.D. (supervisor)
prof. Dr. Ing. Otto Pastor, CSc. (examiner, instructor, lecturer)
Teaching language: Czech, English
Room: Mladá Boleslav

Last modification made by Ing. Aleš Kutín on 09/02/2019.

Type of output: