PERFORMANCE EVALUATION OF AGGREGATED MARKOV REPAIRABLE SYSTEMS WITH MULTI-OPERATING LEVELS

DOI10.1142/S0217595913500036zbMath1273.90068OpenAlexW2120582172MaRDI QIDQ2853402

Liying Wang, Lirong Cui

Publication date: 21 October 2013

Published in: Asia-Pacific Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217595913500036

zbMATH Keywords

reliabilitysojourn timeup timeacceptable timefrequency of failures and repairsMarkov repairable time with multi-operating levelmultivariate semi-Markov processtotal output in a cycle

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Markov and semi-Markov decision processes (90C40)

Related Items (1)

Some new concepts and their computational formulae in aggregated stochastic processes with classifications based on sojourn times

Cites Work

• Aggregated semi-Markov repairable systems with history-dependent up and down states
• The evolution of aggregated Markov chains
• Multivariate semi-Markov analysis of burst properties of multiconductance single ion channels
• Markov Repairable Systems with History-Dependent Up and Down States
• Aggregated semi-Markov processes incorporating time interval omission
• The distribution of apparent occupancy times in a two-state Markov process in which brief events cannot be detected
• Generalised eigenproblems arising in aggregated markov processes allowing for time interval omission
• Some duality results for a class of multivariate semi-markov processes
• Central limit theorems for multivariate semi-Markov sequences and processes, with applications
• What is the Laplace Transform?

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