Analysis of Markov renewal shock models

DOI10.2307/3215132zbMath0834.60095OpenAlexW2325357738MaRDI QIDQ4858687

Ushio Sumita, Masashi Kowada, Nobuko Igaki

Publication date: 12 March 1996

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3215132

zbMATH Keywords

Markov renewal processshock modelrenewal propertyrandom system statesequence of random shocks

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (12)

Reliability of systems subjects to shocks with a stochastic dependence of the damages ⋮ Structured replacement policies for a Markov-modulated shock model ⋮ Limit theorems for local cumulative shock models with cluster shock structure ⋮ Two novel critical shock models based on Markov renewal processes ⋮ Lifetime properties of a cumulative shock model with a cluster structure ⋮ On history-dependent shock models ⋮ Reliability and maintenance of systems subject to gamma degradation and shocks in dynamic environments ⋮ OPTIMAL REPLACEMENT POLICIES UNDER ENVIRONMENT-DRIVEN DEGRADATION ⋮ On a Markov‐modulated shock and wear process ⋮ Monotone optimal replacement policies for a Markovian deteriorating system in a controllable environment ⋮ Explicit results for wear processes in a Markovian environment ⋮ Availability of periodically inspected systems with Markovian wear and shocks

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