An integrated model of facility location and road network to evaluate reliability of urban infrastructure

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In this research, we develop an integrated model of facility location and road network for evaluating the reliability of urban infrastructure. The model focuses on the distance to a facility when the nearest facility or the road to the facility is closed. We derive the joint distribution of the distances to the first and the second nearest facilities for regular and random patterns of facilities. We also derive the distribution of the distance to a facility in the presence of a square barrier.