Abstract
This paper analyzes network disconnection due to randomly occurring natural disasters in a geographical area, which is divided into sub-areas on the basis of disaster-vulnerable (DV) levels. The DV levels against an earthquake, for example, depend on the soil-foundation-structure. The network is a communications cable network that is planned to be built between two given network nodes. To make the optical cable working between these network nodes, electric supply from a power grid to these nodes is necessary, where the power grid has already existed. In this paper, the geographical conditions are derived under which a cable route of the network maximizes the probability of connecting two given nodes for any level of disaster when the geographical route information of the power grid is given. The achievable maximum probability of connecting two given nodes or its bound is explicitly given.
Highlights
A large number of severe natural disasters, such as earthquakes, tsunamis, and hurricanes, take thousands of human lives and destroy network infrastructures [1]
To prevent cascading failures caused by blackout due to a natural disaster, many communication network operators provide battery or electric power generators
In addition to the increasing the robustness of networks against such disasters in general and earthquakes in particular through new and current methods [7], taking account of a power grid is important because a network service disruption may occur due to running out of power
Summary
A large number of severe natural disasters, such as earthquakes, tsunamis, and hurricanes, take thousands of human lives and destroy network infrastructures [1]. To prevent cascading failures caused by blackout due to a natural disaster, many communication network operators provide battery or electric power generators. In addition to the increasing the robustness of networks against such disasters in general and earthquakes in particular through new and current methods [7], taking account of a power grid is important because a network service disruption may occur due to running out of power. This paper proposes a theoretical method for determining the geographical/geometrical route of a network along the concept of the disaster-free network when the geographical information of the power gird supplying electricity to the network is given. 1. This paper theoretically analyzes the failures of a communications cable network when the network uses electric power supplied through a power grid.
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