@misc{Malinowski_Jacek_Reliability_2014, author={Malinowski, Jacek}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2014}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={This paper considers a flow network with directed links and three types of nodes: inflow points, transit-only nodes, and outflow points. An algorithm developed by the author that calculates the basic reliability parameter of the considered network, the so-called d-availability is presented. This algorithm is a recursive procedure executed in the course of the series-parallel aggregation, operates on integer numbers, and has relatively low numerical complexity. The author has also defined a number of other reliability parameters characterizing the network's dynamically changing ability to satisfy the demands at the outflow points. These parameters are calculated using the network's d-availability and the d-importances (a multi-state generalization of the Birnbaum importance) of individual components. 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.}, type={Text}, title={Reliability analysis of a flow network with inflow and outflow points and series-parallel-reducible structure}, URL={http://rcin.org.pl/Content/103031/PDF/RB-2014-03.pdf}, keywords={Niezawodność, Reliability, Network flow problem, Problem przepływu w sieciach}, }