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In this work we consider a flow network with directed links and three types of nodes: inflow points, transit-only nodes, and outflow points. Its structure can be reduced to a single component by means of the so-called series-parallel aggregation. The network's components are binary (i.e. they can be either operable or failed) and repairable, have constant failure and repair rates, and their states are mutually independent. Each operable component has a non-zero integer throughput, a failed component has zero throughput. The presented results can be applied e.g. in the reliability analysis of water supply networks, gas pipeline systems, power transmission and/or distribution networks, etc.
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Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.
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