Measuring lifeline emergency response using temporal network models

used in literature to analyze infrastructure interdependencies within the social, political and economic sphere although it is comprehensive, it is not proper to describe the infrastructures emergency management. During an emergency, the response phase is very condensed in time, and the failures that occur are usually amplified through cascading effects in the long-term period. Because of these peculiarities, interdependencies need to be modeled also taking into account the effect of the time dimension. The methodology proposed in this paper is based on a modified version of the Input-output Inoperability Model which has been applied to an emergency response situation. The lifelines are modeled using graph theory, while the perturbations, representing a natural or man-made disaster, are applied to the elements of the network and propagated following predefined rules. The cascading effect between interdependent networks has been simulated using a spatial multilayer approach, while the use of an adjacency tensor allows taking into account the temporal dimensions and its effects. Finally, the numerical results of the simulations with the proposed model give the probabilities of failure for each node of the system.