UDC 519.876:656.072
DETERMINISTIC MATHEMATICAL MODEL TO FORM MULTIMODAL ROUTE PACKAGES IN TRANSPORT NETWORKS
D. A. Perepelkin, Dr. in technical sciences, full professor, Dean, the Faculty of Computer Engineering, RSREU, Ryazan, Russia;
orcid.org/0000-0003-4775-5745, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
A. V. Vinichenko, post-graduate student, RSREU, Ryazan, Russia;
orcid.org/0009-0004-6373-1764, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The paper considers the problem of forming route packages in multimodal transport networks (MTNs) under conflicting optimality criteria. A deterministic mathematical model is proposed, based on MTN graph representation and vector-valued objective function that includes cost-related, time-related, and structural characteristics of routes. To analyze trade-off solutions, a Pareto-based multi-objective optimization ap proach is employed. Computational modeling and visualization of Pareto fronts are performed, making it possible to analyze the influence of constraints and penalty functions on the set of feasible solutions. The ob tained results confirm the correctness of the proposed model and its applicability for decision support in MTNs.
Key words: multimodal transport network, multimodal passenger transportation, multimodal route package, transport segment, mathematical model, multi-objective optimization, Pareto optimality.