A consecutive k-within-m-out-of-n:F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. This system model generalizes both consecutive k-out-of-n:F and k-out-of-n:F systems. In this article, we study the dynamic reliability properties of consecutive k-within-m-out-of-n:F system consisting of exchangeable dependent components. We also obtain some stochastic ordering results and use them to get simple approximation formulae for the survival function and mean time to failure of this system.
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[Anonymous], 2003, ORDER STAT, DOI DOI 10.1002/0471722162
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Izmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, TurkeyIzmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, Turkey
Eryilmaz, Serkan
Kan, Cihangir
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Izmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, TurkeyIzmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, Turkey
Kan, Cihangir
Akici, Fatih
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Izmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, TurkeyIzmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, Turkey
机构:
Izmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, TurkeyIzmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, Turkey
Eryilmaz, Serkan
Kan, Cihangir
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机构:
Izmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, TurkeyIzmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, Turkey
Kan, Cihangir
Akici, Fatih
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Izmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, TurkeyIzmir Univ Econ, Dept Math, Stat Reliabil & Proc Control Res Grp, TR-35330 Izmir, Turkey