Degradable systems:a survey of multistate system theory

DOI10.1080/03610928408828694zbMath0553.62091OpenAlexW2124547545MaRDI QIDQ3347158

Emad El-Neweihi, Frank Proschan

Publication date: 1984

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928408828694

zbMATH Keywords

reliabilityboundscoherent structureassociated random variablesstructure functionmultistate systemcomponent importancecomponent relevancedegradable systemIFRA processesNBU processessurvey of recent papers

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (7)

Multistate coherent systems and the three modules theorem ⋮ On the importance of components for multistate monotone systems ⋮ Joint importance measures for multistate reliability systems ⋮ Semi-Markov modelling for multi-state systems ⋮ Optimal design and reliability evaluation of multi-state series-parallel power systems ⋮ On replacement policies for additive systems with several working levels ⋮ An optimal maintenance strategy for multi-state systems based on a system linear integral equation and dynamic programming

Cites Work

• Multidimensional IFRA processes
• Multivalued state component systems
• An Axiomatic Characterization of Multistate Coherent Structures
• Continuous Multistate Structure Functions
• Consecutive K-Out-of-N Failure Systems: Reliability, Availability, Component Importance, and Multistate Extensions
• Two suggestions of how to define a multistate coherent system
• Bounding the Reliability of Multistate Systems
• A complete importance ranking for components of binary coherent systems, with extensions to multi-state systems
• Multistate coherent systems
• Coherent Systems with Multi-State Components
• Cannibalization in multicomponent systems and the theory of reliability
• Multistate reliability models

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