Course syllabus OV1 - Operational Research I (ŠAVŠ - WS 2017/2018)

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Course title:
Operational Research I
WS 2017/2018
Course supervisor:
Supervising department: Department of Logistics, Quality and Automotive Technology (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:
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)
Mathematical modelling. Phases of decision process.
b.Basic OR fields.
Applications of OR models.

Linear programming (allowance 8/8)
Linear programming (LP) - mathematical models. Basic definitions of LP. Graphical solution of LP problems.
b.Typical applications of LP models. Software tools for LP problems, interpretation of results (reduced costs, shadow prices, etc.). Special cases in solving LP problems.
c.Sensitivity analysis of LP solutions. Integer LP problems and their solving.
Transportation problem - definition and mathematical models. Initial basis solution - northwest corner method, matrix minimum method.
Distribution problems - container transportation problem, assignment problem, travelling salesman problem, generalized distribution problem, covering problem.

Graph theory and its applications. (allowance 6/6)
a.Basic definitions. Optimization problems on graphs - shortest path problem, minimal spanning tree problem, maximal flow problem.
Project management - construction of network for project management.
c.CPM and PERT.

4.Inventory management (allowance 5/5)
Basic definitions. Deterministic inventory models - economic order quantity (EOQ) model.
Deterministic inventory models - production order quantity (POQ) model, EOQ model with quantity discounts.
Stochastic inventory models.

Waiting lines models. (allowance 3/3)
Structure of a waiting line system. Basic definitions.
Single-server exponential waiting line model.
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 method
Daily attendance
Combined form
Direct teaching
     Attendance of lectures
24 h
0 h
     Attendance of courses/seminars/tutorials
24 h
8 h
     Consultations with teacher (part-time form of study)
0 h
8 h
     Course reading and ongoing preparation
32 h28 h
     Ongoing evaluation
18 h0 h
     Composing of individual (seminar) work
14 h
42 h
     Preparation for final test28 h
54 h
140 h
140 h
Assessment methods:
Requirement type
Daily attendance
Combined form
Active lecture/seminar/workshop/tutorial participation
10 %
0 %
Term paper
10 %
40 %
Mid-term test(s)
20 %
0 %
Final test
60 %60 %
100 %100 %
Course completion:
Mid-term test, seminar work and final written exam.
Support for combined/distance forms of study:
PPT presentations
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: Czech
FÁBRY, J. Matematické modelování. 1st ed. Praha: Professional Publishing, 2011. 180 p. ISBN 978-80-7431-066-9.

Study plans:
Field of study B-EM-BAL Business Administration and Operations, Logistics and Quality Management, full-time form, initial period WS 2016/2017, place of teaching Mladá Boleslav
Field of study B-EM-BAL Business Administration and Operations, Logistics and Quality Management, part-time form, initial period WS 2016/2017, place of teaching Mladá Boleslav
Run in the period of:
Course tutor: doc. Ing. Jan Fábry, Ph.D. (examiner, instructor, lecturer, supervisor)
Teaching language: Czech
Room: Mladá Boleslav

Last modification made by Ing. Zuzana Hejhalová on 11/14/2017.

Type of output: