Simplified Reliabilities for Consecutive-k-out-of-nSystems
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Publication:3745598
DOI10.1137/0607029zbMath0606.90055OpenAlexW2058557580MaRDI QIDQ3745598
Publication date: 1986
Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0607029
Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Theory of computing (68Q99)
Related Items (18)
Some results associated with the longest run statistic in a sequence of Markov dependent trials ⋮ Redundant consecutive-k systems ⋮ Binary vectors with exactly k nonoverlapping m-tuples of consecutive ones ⋮ Simple expressions for success run distributions in Bernoulli trials ⋮ Reliability analysis for the consecutive-\(k\)-out-of-\( n\):\( F\) system with repairmen taking multiple vacations ⋮ Reliability assessment for consecutive-\(k\)-out-of-\(n\): F retrial systems under Poisson shocks ⋮ Useful inequalities for the longest run distribution ⋮ A direct argument for Kaplansky's theorem on a cyclic arrangement and its generalization ⋮ On success runs of length exceeded a threshold ⋮ A limit theorem of certain repairable systems ⋮ The Increasing Failure Rate Property of Consecutive-k:-out-of-n Systems ⋮ Consecutive \(k\)-out-of-\(n\) systems with maintenance ⋮ Lifetime distribution and estimation problems of consecutive \(k\)-out-of-\(n\):F systems ⋮ Reliabilities of Consecutive-2 Graphs ⋮ Optimal Consecutive-k−Out−of−n Systems under a Fixed Budget ⋮ On Optimal Consecutive k-out-of-n: F Systems Subject to a Fixed Product of Failure Probabilities ⋮ On the Failure Rates of Consecutive−k−out−of−n Systems ⋮ Reliabilities for \((n,f,k)\) systems
Cites Work
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- Direct Computation for Consecutive-k-out-of-n: F Systems
- Fast Solutions for Consecutive-k-out-of-n: F System
- Recursive Algorithm to Evaluate the Reliability of a Consecutive-k-out-of-n:F System
- A Combinatorial Problem Related to Multimodule Memory Organizations
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