Progressive Recovery from Failure in Multi-layered Interdependent Network Using a New Model of Interdependency
A number of models have been proposed to analyze interdependent networks in recent years. However most of the models are unable to capture the complex interdependencies between such networks. To overcome the limitations, we have recently proposed a new model. Utilizing this model, we provide techniques for progressive recovery from failure. The goal of the progressive recovery problem is to maximize the system utility over the entire duration of the recovery process. We show that the problem can be solved in polynomial time in some special cases, whereas for some others, the problem is NP-complete. We provide two approximation algorithms with performance bounds of 2 and 4 respectively. We provide an optimal solution utilizing Integer Linear Programming and a heuristic. We evaluate the efficacy of our heuristic with both synthetic and real data collected from Phoenix metropolitan area. The experiments show that our heuristic almost always produces near optimal solution.
KeywordsCritical infrastructure Multi-layer networks Inter-dependence Progressive recovery Modeling Analysis
- 5.Parandehgheibi, M., Modiano, E.: Robustness of Interdependent Networks: The case of communication networks and the power grid. arXiv preprint (2013). arxiv:1304.0356
- 10.Sen, A., Mazumder, A., Banerjee, J., Das, A., Compton, R.: Identification of k most vulnerable nodes in multi-layered network using a new model of interdependency. In: Presented at the International Workshop on Network Science for Communication Networks (INFOCOM workshop). arXiv preprint (2014). arxiv:1401.1783
- 11.Smith, R.: U.S. Risks National Blackout From Small-Scale Attack. Wall Street Journal (2012). http://online.wsj.com/news/articles/SB10001424052702304020104579433670284061220
- 12.Bernstein, A., Bienstock, D., Hay, D., Uzunoglu, M., Zussman, G.: Power grid vulnerability to 3 geographically correlated failures-analysis and control implications. arXiv preprint (2012). arxiv:1206.1099