Mixture representations for the reliability of consecutive-\(k\) systems
From MaRDI portal
Publication:984182
DOI10.1016/J.MCM.2009.12.007zbMath1190.90058OpenAlexW2024797926MaRDI QIDQ984182
Publication date: 16 July 2010
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2009.12.007
order statisticssystem reliabilitysystem signatureconsecutive \(k\)-out-of-\(n\) systemconsecutive \(k\)-within-\(m\)-out-of-\(n\) systemmaximal signatureminimal signature
Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05)
Related Items (23)
On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ Parallel and consecutive-\(k\)-out-of-\(n\):F systems under stochastic deterioration ⋮ The joint reliability signature of order statistics ⋮ Stochastic comparisons between lifetimes of reliability systems with exchangeable components ⋮ On optimal age replacement policy for a class of coherent systems ⋮ Reliability bounds of dependent circular consecutive \(k\)-out-of-\(n:G\) systems ⋮ Performance of a structure consisting a \(2\)-out-of-\(3:F\) substructure under human failure ⋮ On the mean residual lifetime of~consecutive \(k\)-out-of-\(n\) systems ⋮ Minimum and maximum distances between failures in binary sequences ⋮ Signatures of series and parallel systems consisting of non disjoint modules ⋮ On computing signatures of \(k\)-out-of-\(n\) system consisting of modules ⋮ A new look at dynamic behavior of binary coherent system from a state-level perspective ⋮ Signature based analysis of m -Consecutive-k -out-of-n : F systems with exchangeable components ⋮ Reliability and Some Characteristics of Circular Consecutive-k-Within-m-Out-of-n:F System ⋮ On Signatures of Series and Parallel Systems Consisting of Modules with Arbitrary Structures ⋮ Reliability analysis of consecutive \(k\)-out-of-\(n\) systems with non-identical components lifetimes ⋮ The behavior of warm standby components with respect to a coherent system ⋮ Computing reliability indices of repairable systems via signature ⋮ Discrete Scan Statistics Generated by Exchangeable Binary Trials ⋮ Moments of order statistics from DNID discrete random variables with application in reliability ⋮ Failure rates of consecutive \(k\)-out-of-\(n\) systems ⋮ Relative behavior of a coherent system with respect to another coherent system ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean residual life functions of finite mixtures, order statistics and coherent systems
- Stochastic orders
- Reliability and expectation bounds for coherent systems with exchangeable components
- Reliability formula \& limit law of the failure time of ``\(m\)-consecutive-\(k\)-out-of-\(n\):\(F\) system
- A note on comparisons among coherent systems with dependent components using signatures
- A note on the proof for the optimal consecutive-\(k\)-out-of-\(n:G\) line for \(n\leqslant 2k\)
- On the dual reliability systems of \((n,f,k)\) and \(\langle n,f,k \rangle\)
- Reliability evaluation of multi-state consecutive \(k\)-out-of-\(r\)-from-\(n:G\) system
- Signatures of indirect majority systems
- Properties of Coherent Systems with Dependent Components
- On Closure of the IFR Class Under Formation of Coherent Systems
- Reliability Determination of a r-Successive-out-of-n:F System
- Reliability of a consecutive k-out-of-r-from-n:F system
- Distribution of the lifetime of consecutive k-within-m-out-of-n:F systems
- Reliability of a general consecutive-k-out-of-n:F system
- A Full Likelihood Procedure for Analysing Exchangable Binary Data
- Consecutive k‐within‐m‐out‐of‐n:F system with exchangeable components
- Mean Residual Lifetimes of Consecutive-k-out-of-n Systems
- ON THE SIGNATURE OF COHERENT SYSTEMS AND APPLICATIONS
This page was built for publication: Mixture representations for the reliability of consecutive-\(k\) systems