Optimal replacement policies with continuously varying observable damage

DOI10.1016/0304-4149(84)90165-0zbMath0547.60084OpenAlexW2008895092MaRDI QIDQ799038

F. A. Attia, Peter J. Brockwell

Publication date: 1984

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(84)90165-0

zbMATH Keywords

hypergeometric functionsBessel functionsCumulative damagereplacement after failure

Mathematics Subject Classification ID

Brownian motion (60J65) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

• Optimal replacement policy for the case where the damage process is a one-sided Levy process
• Invariant imbedding and dams with Markovian input rate
• Optimal replacement under additive damage and other failure models

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