A general model for consecutive-\(k\)-out-of-\(n:F\) repairable system with exponential distribution and \((k-1)\)-step Markov dependence.

DOI10.1016/S0377-2217(99)00474-9zbMath1125.90336OpenAlexW2025498417MaRDI QIDQ5928386

Yeh Lam, Hon Keung Tony Ng

Publication date: 28 March 2001

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(99)00474-9

zbMATH Keywords

Consecutive-\(k\)-out-of-\(n: F\) repairable systemFailure riskMaintenanceMarkov dependenceReliability indicesTransition density matrix

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (5)

Time-dependent reliability analysis for repairable consecutive-k-out-of-n:F system ⋮ A survey of the machine interference problem ⋮ Consecutive k and Related Models—A Survey ⋮ Algorithm for a general discrete \(k\)-out-of-\(n\): \(G\) system subject to several types of failure with an indefinite number of repairpersons ⋮ TRANSIENT ANALYSIS OF A MULTI-COMPONENT SYSTEM MODELED BY A GENERAL MARKOV PROCESS

Cites Work

• Geometric processes and replacement problem
• Consecutive \(k\)-out-of-\(n\) systems with maintenance
• A consecutive-k-out-of-n:G system: the mirror image of a consecutive-k-out-of-n:F system
• A rearrangement inequality for the longest run, with an application to network reliability
• Relayed Communication via Consecutive-k-out-of-n: F System
• Reliability of Consecutive-k-out-of-n:F Systems with (k-1)-step Markov Dependence
• A note on the optimal replacement problem
• Reliability of a Consecutive-k-out-of-n:F System for Markov-Dependent Components
• Reliability Determination of a r-Successive-out-of-n:F System
• Reliability of Consecutive-k-out-of-n:F System
• Consecutive-k-out-of-n: F Networks
• The rate of occurrence of failures
• Reliability of consecutive-k-out-of-n:Grepairable system
• Analysis of repairable consecutive-2-out-of-n : F systems with Markov dependence
• Calculating the Rate of Occurrence of Failures for Continuous-time Markov Chains with Application to a Two-component Parallel System
• Repairable consecutive-k-out-of-n:F system with Markov dependence
• Exact reliability formula for consecutive-k-out-of-n:F systems with homogeneous Markov dependence

This page was built for publication: A general model for consecutive-\(k\)-out-of-\(n:F\) repairable system with exponential distribution and \((k-1)\)-step Markov dependence.