Recovery of Interdependent Networks
Copyright policy )Recovery of Interdependent Networks
AbstractRecent network research has focused on the cascading failures in a system of interdependent networks and the necessary preconditions for system collapse. An important question that has not been addressed is how to repair a failing system before it suffers total breakdown. Here we introduce a recovery strategy for nodes and develop an analytic and numerical framework for studying the concurrent failure and recovery of a system of interdependent networks based on an efficient and practically reasonable strategy. Our strategy consists of repairing a fraction of failed nodes, with probability of recovery γ, that are neighbors of the largest connected component of each constituent network. We find that, for a given initial failure of a fraction 1 − pof nodes, there is a critical probability of recovery above which the cascade is halted and the system fully restores to its initial state and below which the system abruptly collapses. As a consequence we find in the plane γ − pof the phase diagram three distinct phases. A phase in which the system never collapses without being restored, another phase in which the recovery strategy avoids the breakdown, and a phase in which even the repairing process cannot prevent system collapse.
- National Scientific and Technical Research Council Argentina
- Boston University United States
- Bar-Ilan University Israel
- Facultad de Ciencias Agrarias y Forestales Argentina
- Instituto de Investigaciones Físicas de Mar del Plata Argentina
Interdependence, FOS: Political science, Component (thermodynamics), Urban Metabolism and Sustainability Assessment, Organic chemistry, Complex Networks, Branching Theory, Reliability engineering, Electric power system, Engineering, https://purl.org/becyt/ford/1.3, Cascading failure, Political science, Global and Planetary Change, Physics, Ecological Network Analysis, Power (physics), Climate network, 004, Phase diagram, World Wide Web, Chemistry, Anticipating Critical Transitions in Ecosystems, Physical Sciences, Cascade, Thermodynamics, Interdependent networks, Cascade of Failures, Network Analysis, Physics - Physics and Society, Environmental Engineering, Fraction (chemistry), Complex networks, FOS: Physical sciences, FOS: Law, Physics and Society (physics.soc-ph), Phase (matter), Quantum mechanics, Multidisciplinary sciences, Article, Other physical sciences, Chemical engineering, FOS: Mathematics, https://purl.org/becyt/ford/1, FOS: Chemical engineering, Topology (electrical circuits), FOS: Environmental engineering, Statistical and Nonlinear Physics, Complex network, Computer science, Distributed computing, Process (computing), Operating system, Physics and Astronomy, Combinatorics, Biochemistry and cell biology, Environmental Science, Statistical Mechanics of Complex Networks, Science & technology, Law, Mathematics
Interdependence, FOS: Political science, Component (thermodynamics), Urban Metabolism and Sustainability Assessment, Organic chemistry, Complex Networks, Branching Theory, Reliability engineering, Electric power system, Engineering, https://purl.org/becyt/ford/1.3, Cascading failure, Political science, Global and Planetary Change, Physics, Ecological Network Analysis, Power (physics), Climate network, 004, Phase diagram, World Wide Web, Chemistry, Anticipating Critical Transitions in Ecosystems, Physical Sciences, Cascade, Thermodynamics, Interdependent networks, Cascade of Failures, Network Analysis, Physics - Physics and Society, Environmental Engineering, Fraction (chemistry), Complex networks, FOS: Physical sciences, FOS: Law, Physics and Society (physics.soc-ph), Phase (matter), Quantum mechanics, Multidisciplinary sciences, Article, Other physical sciences, Chemical engineering, FOS: Mathematics, https://purl.org/becyt/ford/1, FOS: Chemical engineering, Topology (electrical circuits), FOS: Environmental engineering, Statistical and Nonlinear Physics, Complex network, Computer science, Distributed computing, Process (computing), Operating system, Physics and Astronomy, Combinatorics, Biochemistry and cell biology, Environmental Science, Statistical Mechanics of Complex Networks, Science & technology, Law, Mathematics
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