A LOADING-DEPENDENT MODEL OF PROBABILISTIC CASCADING FAILURE

DOI10.1017/S0269964805050023zbMath1063.90014MaRDI QIDQ4673898

Ian Dobson, D. E. Newman, B. A. Carreras

Publication date: 9 May 2005

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05)

Related Items (14)

Cascades in interdependent flow networks ⋮ Autoregressive cascades on random networks ⋮ The equal load-sharing model of cascade failures in power grids ⋮ A novel evolving model for power grids ⋮ Threshold for the outbreak of cascading failures in degree-degree uncorrelated networks ⋮ Dynamics in local influence cascading models ⋮ On power system blackout modeling and analysis based on self-organized criticality ⋮ RISK MODELS IN INSURANCE AND EPIDEMICS: A BRIDGE THROUGH RANDOMIZED POLYNOMIALS ⋮ The Impact of a Network Split on Cascading Failure Processes ⋮ Robustness of power-law behavior in cascading line failure models ⋮ Using mixed-integer programming to solve power grid blackout problems ⋮ Probabilistic analysis of failures in power transmission networks and phase transitions: Study case of a high-voltage power transmission network ⋮ Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization ⋮ From damage models to SIR epidemics and cascading failures

Cites Work

• On exchangeable, causal and cascading failures
• Abel series distributions with applications to fluctuations of sample functions of stochastic processes
• On some models leading to the generalized poisson distribution
• On a simple formula for random mappings and its applications
• A simple model of global cascades on random networks
• Critical points and transitions in an electric power transmission model for cascading failure blackouts
• Random mappings with an attracting center: Lagrangian distributions and a regression function
• Some Chance Mechanisms Related to a Generalized Poisson Probability Model
• The Multiplicative Process
• Probability of Indecomposability of a Random Mapping Function

This page was built for publication: A LOADING-DEPENDENT MODEL OF PROBABILISTIC CASCADING FAILURE