Konrad T. Mathematical model of multicriteria distribution of transport flows for automated systems of multimodal transport networks

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0421U101593

Applicant for

Specialization

  • 01.05.03 - Математичне та програмне забезпечення обчислювальних машин і систем

30-04-2021

Specialized Academic Board

Д 26.062.19

National Aviation University

Essay

For the first time, an infological model of factors, indicators, and criteria of optimal route of cargo transportation in multimodal transport networks was developed, which is based on methods of a heuristic analysis of the subject area and differs in formalizing the problem of determining the optimal route in a multicriteria hierarchy of nested groups of criteria which improves an increase in the adequacy of mathematical models for solving transport-type optimization problems.The mathematical model of multicriteria distribution of traffic flows in multimodal transport networks is improved, which is based on and differs in multicriteria choice of the optimal route on graphs using nested convolutions according to the nonlinear scheme of compromises which improves an increase in the efficiency of traffic flow management by a compromise ratio of the vector of efficiency to cost. Improved the architecture of the software system for decision support of the multicriteria distribution of traffic flows in multimodal transport networks, which is based on the use in the calculation block of structural elements that provide conditional decisions on the optimal route of transportation as a result of synergistic integration and an improved mathematical model of the optimal distribution of traffic flows. The architecture of the software system differs in the improvement of the structure of the calculation unit due to the formalization of the transport problem in a multicriteria form and the choice of the optimal route for the integrated efficiency of graph structures. The use of advanced architecture allows increasing the efficiency of traffic flow management in terms of efficiency and reliability of the original solutions.The mathematical support of the computational algorithm is based on the method of multi-criteria selection of the optimal route for the transportation of goods and the method of optimal distribution of limited resources.

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