Dynamic populations of manufactured items under shocks

Maxim Finkelstein () and Ji Hwan Cha ()
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Maxim Finkelstein: University of the Free State
Ji Hwan Cha: Ewha Womans University

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2025, vol. 33, issue 3, No 2, 470-488

Abstract: Abstract Populations of manufactured degrading items that are incepted into operation with a given rate are considered. The impact of shocks on the dynamic populations’ age structures is described. The relevant stochastic comparisons between random ages before and after a single shock and for a population under a point process of shocks and without this impact are obtained. Optimal preventive maintenance (replacements) policy for populations of items that are subject to the Poisson process of external shocks is discussed in the framework of the extreme shock model. Numerical examples illustrating the optimal replacement policy are provided.

Keywords: Dynamic populations; Age composition; Poisson process of shocks; Preventive maintenance; 60E15; 60H30 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11750-024-00687-7

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