Assessment of a generalized discrete time mixed \(\delta\)-shock model for the multi-state systems

DOI10.1016/J.CAM.2019.112415zbMath1423.90072OpenAlexW2970322507MaRDI QIDQ2332722

H. Lorvand, A. R. Nematollahi, M. H. Poursaeed

Publication date: 5 November 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112415

zbMATH Keywords

Markov chainbinomial processmulti-state systemmixed \(\delta\)-shock model

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (6)

Generalized mixed \(\delta\)-shock models with random interarrival times and magnitude of shocks ⋮ On mixed censored \(\delta \)-shock models ⋮ Consecutive dual failure mode shock systems ⋮ Distributions of random variables involved in discrete censored δ-shock models ⋮ Reliability analysis of a new family mixed shock models for the multi-state systems ⋮ Reliability of a system under a new mixed shock model

Cites Work

• Generalized \(\delta\)-shock model via runs
• On the lifetime behavior of a discrete time shock model
• Assessment of a multi-state system under a shock model
• Life behavior of a system under discrete shock model
• Life behavior of \(\delta\)-shock models for uniformly distributed interarrival times
• On mixed \(\delta\)-shock models
• Discrete time shock models involving runs
• \(\delta\)-shock model based on Polya process and its optimal replacement policy
• Realistic variation of shock models
• Life behavior of \(\delta\) -shock model
• System reliability under δ-shock model
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