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Applied Computational Methods

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code342-0673/03
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Choice-compulsory type B
Level of Course Unit *Second Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
TEI72doc. Ing. Dušan Teichmann, Ph.D.
Summary
Students will gain basic knowledge of optimization methods used in transport. They will be able to design mathematical models of basic transport problems and will be able to actively solve these problems using the optimization software Xpress-IVE.
Learning Outcomes of the Course Unit
Students will gain basic knowledge of optimization methods used in transport. They will be able to design mathematical models of basic transport problems and will be able to actively solve these problems using the optimization software Xpress-IVE.
Course Contents
Main topics (syllabus) of the course after individual weeks (blocks) of teaching:

1. Introduction to the optimization software Xpress-IVE, which is used to solve compiled mathematical models.
2. Supporting tasks for solving optimization problems in transport networks (basic optimization problems, algorithms
to find the distance between objects in the transport network).
3. Problems of service nodes of the transport network (exact and heuristic methods).
4. Mathematical models of tasks on placing objects in a network with prescribed properties (median search task a
centers of the transport network, the task of locating the absolute depot - the top optimal location and the search for the global optimum
in non-oriented and mixed networks, placement task with limited availability).
5. Mathematical models of distribution problems and their analytical solution - with the possibility of supply from multiple sources,
with the possibility of supply from one source.
6. Mathematical model for the design of a network of public transport lines.
7. Mathematical model for time coordination of connections in transfer nodes.
8. Control test.
9. Methods for designing signal plans at traffic lights.
10. Calculation of transport network capacity.
11. Models of open systems of collective service with single-phase service occurring in traffic conditions
businesses.
12. Models of open systems of collective service with multiphase service occurring in traffic conditions
businesses.
13. Models of closed public service systems occurring in the conditions of transport companies.
14. Reserve.
Recommended or Required Reading
Required Reading:
http://www.vvvd.cz/m14-optimalizace-technologickych-procesu-29.html
CENEK, P.; KLIMA, V.; JANÁČEK, J.: Optimalizace dopravních a spojových procesů. ŽILINA: VŠDS V ŽILINE, 1994, ISBN
80-7100-197-X.
ČERNÝ, J; KLUVÁNEK, P.: Základy matematickej teorie dopravy. BRATISLAVA: VEDA, 1990, ISBN 80-224-0099-8.
JANÁČEK, J.: Optimalizace na dopravních sítích. ŽILINA: ŽU V ŽILINE, 2002, ISBN 80-8070-031-1.
KLUVÁNEK, P.; BRANDALÍK, F.: Operační analýza I. BRATISLAVA: ALFA, 1982.
VOLEK, J.: Operační výzkum I. PARDUBICE: Univerzita Pardubice, 2002, ISBN 80-7194-410-6.
http://www.vvvd.cz/m14-optimalizace-technologickych-procesu-29.html
CENEK, P.; KLIMA, V.; JANÁČEK, J.: Optimalizace dopravních a spojových procesů. ŽILINA: VŠDS V ŽILINE, 1994, ISBN 80-7100-197-X.
ČERNÝ, J; KLUVÁNEK, P.: Základy matematickej teorie dopravy. BRATISLAVA: VEDA, 1990, ISBN 80-224-0099-8.
JANÁČEK, J.: Optimalizace na dopravních sítích. ŽILINA: ŽU V ŽILINE, 2002, ISBN 80-8070-031-1.
KLUVÁNEK, P.; BRANDALÍK, F.: Operační analýza I. BRATISLAVA: ALFA, 1982.
VOLEK, J.: Operační výzkum I. PARDUBICE: Univerzita Pardubice, 2002, ISBN 80-7194-410-6.
SCHULZE, D. Powders and bulk solids: behavior, characterization, storage and flow. Berlin: Springer, 2008. ISBN 978-3-540-73767-4.
Recommended Reading:
JANÁČEK, J.: Matematické programování. ŽILINA: ŽU V ŽILINE, 1999, ISBN 80-7100-573-8.
SMIEŠKO, J.: Operačná analýza II. ŽILINA: MC Energy, 1999, ISBN 80-968115-6-8.
VOLEK, J.; FRONCOVÁ, H.; MRAVÍKOVÁ, E.; STANKOVIANSKÁ, I.: Operačná analýza II. PRAHA: NADAS, 1990, ISBN 80-7100-025-6.
ZÍTEK, F.: Ztracený čas. PRAHA: ACADEMIA, 1969.
JANÁČEK, J.: Matematické programování. ŽILINA: ŽU V ŽILINE, 1999, ISBN 80-7100-573-8.
SMIEŠKO, J.: Operačná analýza II. ŽILINA: MC Energy, 1999, ISBN 80-968115-6-8.
VOLEK, J.; FRONCOVÁ, H.; MRAVÍKOVÁ, E.; STANKOVIANSKÁ, I.: Operačná analýza II. PRAHA: NADAS, 1990, ISBN 80-7100-025-6.
ZÍTEK, F.: Ztracený čas. PRAHA: ACADEMIA, 1969.
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit35 18
        ExaminationExamination65 33