In many cases, redundant systems are beset by both independent and dependent failures. Ignoring dependent variables in MTBF evaluation of redundant systems hastens the occurrence of failure, causing it to take place before the expected time, hence decreasing safety and creating irreversible...

Considering the coupled strength between interdependent networks, we introduce a new method to define the initial load on an edge and propose a cascading load model in interdependent networks. We explore the robustness of the interdependent networks against cascading failures by two measures,...

The cascading failure can bring a huge loss for most real-world networks; but, we cannot uncover fully the mechanism and law of the cascading events occurrence. Most networks in which the cascading failure occurred are based on the various ‘flows’, such as power, oils, and information;...

The invulnerability or robustness of complex networks against cascading failures under critical node failures is of great realistic meaning. Inspired by other related works, we propose a renewed cascading failure model which should be more suitable for real networks. In this model, the initial...

In recent years the rapid development of complex network theory has provided a new angle on the vulnerability analysis of a power grid. However, current analysis models are usually general ones that may ignore some specific features of power systems. In order to address the issue, this paper...

Theoretical frameworks to estimate the tolerance of metabolic networks to various failures are important to evaluate the robustness of biological complex systems in systems biology. In this paper, we focus on a measure for robustness in metabolic networks, namely, the impact degree, and propose...

According to the dynamic characteristics of the cascading propagation, we introduce a mitigation mechanism and propose four mitigation methods on four types of nodes. By the normalized average avalanche size and a new measure, we demonstrate the efficiencies of the mitigation strategies on...

This article introduces a new approach for defining the initial load of a node in a network and investigate how to allocate the initial load so as to maximize the network robustness against cascading failures and minimize the protection cost. Motivated by the radiate circle of a node in a...

Most previous existing works on cascading failures only focused on attacks on nodes rather than on edges. In this paper, we discuss the response of scale-free networks subject to two different attacks on edges during cascading propagation, i.e., edge removal by either the descending or...

Considering that not all overload nodes will be removed from networks due to some effective measures to protect them, we propose a new cascading model with a breakdown probability. Adopting the initial load of a node j to be Lj=[kj(∑m∈Γjkm)]α with kj and Γj being the degree of the node j...