Refueling Delay Models in Heterogenous Road Networks for Wireless Communications Base Station Gensets Operating in Extreme Conditions

This paper presents models for calculating travel delays in heterogeneous road networks in extreme conditions. The models are developed to facilitate the calculation of fuel delivery and restoration delays in wireless communications base stations and other system nodes requiring electric power. The travel delay is calculated by representing road networks as spatial graphs whose attributes are modified by an extreme event. Travel delays are random and are characterized by a triangular distribution whose parameters, namely minimum, mode and maximum, are calculated using the developed models. Each road segment or edge's travel time is a function of its length and the type of road. The type of road is characterized by its speed limit. The travel delays to each cell site is calculated assuming that the crew and fuel trucks originate on the boundary of the analyzed region. A nuclear attack is used as an example of extreme event to exemplify the models. Results indicate that type of road, path choice and subsequent congestion post extreme event can have significant impacts on the spatial distribution of delays.