Eryilmaz, SerkanEryılmaz, SerkanKoutras, Markos V.Triantafyllou, Ioannis S.Industrial Engineering2024-07-052024-07-052011430894-069X10.1002/nav.204492-s2.0-79954418701https://doi.org/10.1002/nav.20449https://hdl.handle.net/20.500.14411/1325Triantafyllou, Ioannis S./0000-0002-7512-5217; Eryilmaz, Serkan/0000-0002-2108-1781; Koutras, Markos/0000-0001-5160-2405In this article, we study reliability properties of m-consecutive-k-out-of-n: F systems with exchangeable components. We deduce exact formulae and recurrence relations for the signature of the system. Closed form expressions for the survival function and the lifetime distribution as a mixture of the distribution of order statistics are established as well. These representations facilitate the computation of several reliability characteristics of the system for a given exchangeable joint distribution or survival function. Finally, we provide signature-based stochastic ordering results for the system's lifetime and investigate the IFR preservation property under the formulation of m-consecutive-k-out-of-n: F systems. (C) 2011 Wiley Periodicals, Inc. Naval Research Logistics 58: 344-354, 2011eninfo:eu-repo/semantics/closedAccessm-consecutive-k-out-of-n: F systemSamaniego's signatureexchangeable distributionorder statisticsmean residual lifetimestochastic orderingSignature Based Analysis of <i>m</I>-consecutive-<i>k< <i>f</I> Systems With Exchangeable ComponentsArticleQ3Q2584344354WOS:000289885600002