AN AGE-BASED MAINTENANCE STRATEGY FOR A DEGRADATION-THRESHOLD-SHOCK-MODEL FOR A SYSTEM SUBJECTED TO MULTIPLE DEFECTS

I. T. Castro ()
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I. T. Castro: Department of Mathematics, University of Extremadura, 10071 Cáceres, Spain

Asia-Pacific Journal of Operational Research (APJOR), 2013, vol. 30, issue 05, 1-14

Abstract: A system subject to internal defects and external shocks is analyzed in this paper. Internal defects initiate following a nonhomogeneous Poisson process (NHPP) and they grow according to deterioration processes modeled as gamma processes. A corrective replacement is performed when the deterioration of a defect exceeds a failure threshold. The system is subject to external shocks. After an external shock, the system is replaced with probability 1 – p and is minimally repaired with probability p. The system is preventively replaced at the age of T. Costs are associated with the maintenance actions. The value of T that minimizes the expected cost rate is obtained analytically. Numerical examples are showed to illustrate the theoretical results.

Keywords: Age based maintenance; degradation-threshold-shock models; gamma process; pitting corrosion; nonhomogeneous Poisson process; minimal repair (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (16)

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DOI: 10.1142/S0217595913500164

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