Title: Degree design of coupled infrastructures

Authors: Franz S. Hover

Addresses: Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA

Abstract: A recent asymptotic model of cascading failure in two-domain, coupled infrastructures is used to pose and solve a specific degree-distribution design problem. Low-order non-linear analysis exposes the mechanisms by which optimised graphs can form star-like clusters, and suggests why the optimisation is well-behaved numerically. Through computational examples on coupled systems of finite size, we demonstrate that the model assumption of degree independence can be somewhat relaxed, which is significant for geometric connectivity. Further, an assortative heuristic rule that matches degrees across the domain boundary can offer benefits in most finite-size cases.

Keywords: interdependent networks; complex systems; asymptotic modelling; cascading failure; coupled infrastructures; critical infrastructures; degree distribution design.

DOI: 10.1504/IJCIS.2011.041537

International Journal of Critical Infrastructures, 2011 Vol.7 No.2, pp.141 - 162

Received: 27 Dec 2010
Accepted: 16 Mar 2011
Published online: 21 Oct 2014 *

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