Replacement Policy for Heterogeneous Items Subject to Gamma Degradation Processes

Ji Hwan Cha (), Maxim Finkelstein () and Gregory Levitin ()
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Ji Hwan Cha: Ewha Womans University
Maxim Finkelstein: University of the Free State
Gregory Levitin: The Israel Electric Corporation

Methodology and Computing in Applied Probability, 2022, vol. 24, issue 3, 1323-1340

Abstract: Abstract A hybrid preventive maintenance policy for heterogeneous degrading items is discussed. It combines the classical age-replacement strategy, when a system is replaced either on failure or at the predetermined age, with replacement of the system when degradation reaches the predetermined level at some intermediate time. Items come from two subpopulations with different reliability characteristics. Non-homogeneous gamma processes model degradation of an item from each subpopulation. We justify probabilistically the superiority of the proposed policy over that for homogeneous populations and over the policy without possibility of additional replacement. The corresponding long-run cost rate is derived for the suggested cost structure. Some detailed numerical illustrations are presented and relevant sensitivity analysis for the main parameters of the model is performed.

Keywords: Heterogeneous degradation process; Mixed gamma process; Dependent increments; Hybrid preventive maintenance policy; Probabilistic analysis; 60 K10; 62P30 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11009-021-09859-5

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