RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2009 Volume 49, Number 9, Pages 1565–1570 (Mi zvmmf4748)

This article is cited in 9 papers

A discrete mathematical model of the dynamic evolution of a transportation network

G. G. Malinetskiia, M. E. Stepantsovb

a Keldysh Insititute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
b Russian State University for the Humanities, Miusskaya pl. 6, Moscow, 125993, Russia

Abstract: A dynamic model of the evolution of a transportation network is proposed. The main feature of this model is that the evolution of the transportation network is not a process of centralized transportation optimization. Rather, its dynamic behavior is a result of the system self-organization that occurs in the course of the satisfaction of needs in goods transportation and the evolution of the infrastructure of the network nodes. Nonetheless, the possibility of soft control of the network evolution direction is taken into account.

Key words: discrete mathematical model, transportation network, self-organization.

UDC: 519.658

Received: 21.10.2008
Revised: 08.04.2009


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:9, 1493–1498

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025