342-0673/01 – Applied Computational Methods (AVT)
| Gurantor department | Institute of Transport | Credits | 5 |
| Subject guarantor | doc. Ing. Dušan Teichmann, Ph.D. | Subject version guarantor | doc. Ing. Dušan Teichmann, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2018/2019 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
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.
Teaching methods
Lectures
Tutorials
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.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Continuous control of knowledge within teaching.
Final credit test.
Written part of the exam (2 examples).
Oral part of the exam (2 theoretical questions).
E-learning
N/A
Other requirements
There are no additional requirements for the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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 (elementary 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 problems on placing objects in a network with prescribed properties (problem of finding the median a centers of the transport network, the task of locating the absolute depot - the top optimal location and finding 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. Control test.
8. Mathematical model for time coordination of connections in transfer nodes.
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 the conditions of transport companies.
12. Models of open systems of collective service with multiphase service occurring in the conditions of transport companies.
13. Models of closed public service systems occurring in the conditions of transport companies.
14. Reserve.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction