HMain 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. 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
enterprises.
12. Models of open systems of collective service with multiphase service occurring in traffic conditions
enterprises.
13. Models of closed public service systems occurring in the conditions of transport companies.
14. Reserve.
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. 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
enterprises.
12. Models of open systems of collective service with multiphase service occurring in traffic conditions
enterprises.
13. Models of closed public service systems occurring in the conditions of transport companies.
14. Reserve.