Department of Civil and Environmental Engineering, Mississippi State University, Mississippi State, MS, United States of America.
Department of Industrial and Systems Engineering, Mississippi State University, Mississippi State, MS, United States of America.
PLoS One. 2021 Jan 19;16(1):e0245396. doi: 10.1371/journal.pone.0245396. eCollection 2021.
In a progressively interconnected world, the loss of system resilience has consequences for human health, the economy, and the environment. Research has exploited the science of networks to explain the resilience of complex systems against random attacks, malicious attacks, and the localized attacks induced by natural disasters or mass attacks. Little is known about the elucidation of system recovery by the network topology. This study adds to the knowledge of network resilience by examining the nexus of recoverability and network topology. We establish a new paradigm for identifying the recovery behavior of networks and introduce the recoverability measure. Results indicate that the recovery response behavior and the recoverability measure are the function of both size and topology of networks. In small sized networks, the return to recovery exhibits homogeneous recovery behavior over topology, while the return shape is dispersed with an increase in the size of network. A network becomes more recoverable as connectivity measures of the network increase, and less recoverable as accessibility measures of network increase. Overall, the results not only offer guidance on designing recoverable networks, but also depict the recovery nature of networks deliberately following a disruption. Our recovery behavior and recoverability measure has been tested on 16 distinct network topologies. The relevant recovery behavior can be generalized based on our definition for any network topology recovering deliberately.
在一个日益相互关联的世界中，系统弹性的丧失会对人类健康、经济和环境产生影响。研究利用网络科学来解释复杂系统对随机攻击、恶意攻击以及自然灾害或大规模攻击引起的局部攻击的弹性。关于网络拓扑结构对系统恢复的阐明，人们知之甚少。本研究通过考察可恢复性和网络拓扑结构的关系，增加了对网络弹性的认识。我们建立了一种新的网络恢复行为识别范式，并引入了恢复性度量。结果表明，恢复响应行为和恢复性度量是网络大小和拓扑结构的函数。在小型网络中，恢复行为表现出拓扑上均匀的恢复行为，而随着网络规模的增加，恢复形状则分散。随着网络连通性度量的增加，网络变得更具可恢复性，而随着网络可访问性度量的增加，网络变得更具不可恢复性。总的来说，这些结果不仅为设计可恢复网络提供了指导，还描绘了网络在受到干扰后故意恢复的恢复特性。我们的恢复行为和恢复性度量已经在 16 种不同的网络拓扑结构上进行了测试。根据我们对任何故意恢复的网络拓扑结构的定义，可以推广相关的恢复行为。
