Complex multi-state systems modelled through marked Markovian arrival processes

DOI10.1016/J.EJOR.2016.02.007zbMath1346.90285OpenAlexW2287782881MaRDI QIDQ322989

Juan Eloy Ruiz-Castro

Publication date: 7 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.ejor.2016.02.007

zbMATH Keywords

reliabilityphase type distributionmarked Markovian arrival process (MMAP)Markov modellingmulti-state systems

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (7)

Group maintenance policies for an \(R\)-out-of-\(N\) system with phase-type distribution ⋮ Heterogeneous standby systems with shocks-driven preventive replacements ⋮ Phase-type distributions for studying variability in resistive memories ⋮ Forecasting counting and time statistics of compound Cox processes: a focus on intensity phase type process, deletions and simultaneous events ⋮ A discrete MMAP for analysing the behaviour of a multi-state complex dynamic system subject to multiple events ⋮ ℋ_∞/passive non-fragile synchronisation of Markovian jump stochastic complex dynamical networks with time-varying delays ⋮ Robust non-fragile memory feedback control for multi-weighted complex dynamical networks with randomly occurring gain fluctuations

Uses Software

• Matlab

Cites Work

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