Cell Sites Refueling and Restoration Delays Modeling during Extreme Events

This paper presents models to calculate refueling and restoration delays for cell sites in extreme events. Delays are modeled using a triangular distribution whose parameters indicate the minimum travel delay, most likely travel and maximum travel delay to a given location. This paper uses graph theoretic approaches to calculate the delay parameters for a given transportation network graph that is affected by an extreme event. A simulated attack on Pittsburgh, Pennsylvania is used to exemplify the delay model results. The impact of geographical features on the road network's structure, connectivity and travel delays are discussed. Results indicate that graph-theoretic approaches, physical and geographical characteristics of the network must be considered to provide insight to network behavior in post disaster conditions.