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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 9, Pages 1565–1570 (Mi zvmmf4748)  

This article is cited in 9 scientific papers (total 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
References:
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.
Received: 21.10.2008
Revised: 08.04.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 9, Pages 1493–1498
DOI: https://doi.org/10.1134/S0965542509090036
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: G. G. Malinetskii, M. E. Stepantsov, “A discrete mathematical model of the dynamic evolution of a transportation network”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009), 1565–1570; Comput. Math. Math. Phys., 49:9 (2009), 1493–1498
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v49/i9/p1565
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :195
    References:61
    First page:25
     
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