 The k-out-of-n acyclic multistate-node networks reliability evaluation using the universal generating function methodWei-Chang Yeh Reliability Engineering and System Safety, 2006, vol. 91, issue 7, 800-808 Abstract: In this article, a special node called the k−-out-of-n node, which cannot receive more than a certain amount of flows, is newly introduced. The acyclic multistate-node network (AMNN) that unsatisfied the flow conservation law is then extended to the k-out-of-n AMNN by including the k−-out-of-n and k+-out-of-n nodes. A very simple universal generating function method (UGFM) based on some intuitive properties that characterize the structure of the k-out-of-n AMNN is developed to solve the k-out-of-n AMNN reliability. The correctness of the proposed UGFM will be analyzed and proven. An example with three special cases illustrates how the k-out-of-n AMNN reliability is evaluated using the proposed UGFM. To show that the proposed UGFM can also solve the AMNN reliability, the first case of the example demonstrates that the proposed UGFM without needing to remove redundant terms and collecting like terms is more efficient and reasonable than the best-known UGFM. Keywords: Reliability; Acyclic multistate-node network; k-out-of-n; Universal generating function (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:91:y:2006:i:7:p:800-808 DOI: 10.1016/j.ress.2005.08.002 Access Statistics for this article Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares More articles in Reliability Engineering and System Safety from Elsevier |
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