TRANSPORTATION NETWORK STABILITY: A CASE STUDY OF CITY TRANSIT

Bertrand Berche (), Christian von Ferber (), Taras Holovatch () and Yurij Holovatch ()
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Bertrand Berche: Statistical Physics Group, P2M Dpt, Institut Jean Lamour, Nancy Université, BP 70239, F-54506 Vandoeuvre les Nancy, France
Christian von Ferber: Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, UK;
Taras Holovatch: Statistical Physics Group, P2M Dpt, Institut Jean Lamour, Nancy Université, BP 70239, F-54506 Vandoeuvre les Nancy, France;
Yurij Holovatch: Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine

Advances in Complex Systems (ACS), 2012, vol. 15, issue supp0, 1-19

Abstract: The goals of this paper are to present criteria, that allow toa prioriquantify the attack stability of real world correlated networks of finite size and to check how these criteria correspond to analytic results available for infinite uncorrelated networks. As a case study, we consider public transportation networks (PTN) of several major cities of the world. To analyze their resilience against attacks, either the network nodes or edges are removed in specific sequences (attack scenarios). During each scenario the sizeS(c)of the largest remaining network component is observed as function of the removed sharecof nodes or edges. To quantify the PTN stability with respect to different attack scenarios we use the area below the curve described byS(c)forc ∈ [0, 1]recently introduced (Schneider, C. M.et al.[PNAS 108(2011) 3838]) as a numerical measure of network robustness. This measure captures the network reaction over the whole attack sequence. We present results of the analysis of PTN stability against node and link-targeted attacks.

Keywords: Complex networks; transportation networks; attack vulnerability (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (12)

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DOI: 10.1142/S0219525912500634

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