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The reliability of a network with a diameter constraint is defined as the probabilistic connectivity of each pair of nodes by paths that travel through a limited number of communication channels. The task of diameter constraint network reliability calculation is NP-hard, so it is relevant to use various reduction and decomposition methods. We propose to use a serial-parallel network transformation...
In this study we show how the problem of an utility network design can be treated by using hypernets. Hypernet represents a mathematical object for describing multi-layer networks. Using such approach, it is possible to take into account the interaction between an utility network and an environment. As a result, we obtain a method of tracks finding for optimal laying of reliable enough utility network...
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