On preventive maintenance under different assumptions on the failure/repair processes
Corresponding Author
Ji Hwan Cha
Department of Statistics, Ewha Womans University, Seoul, Korea
Correspondence
Ji Hwan Cha, Department of Statistics, Ewha Womans University, Seoul 120-750, Korea.
Email: [email protected]
Search for more papers by this authorMaxim Finkelstein
Department of Mathematical Statistics, University of the Free State, Bloemfontein, South Africa
ITMO University, St. Petersburg, Russia
Search for more papers by this authorCorresponding Author
Ji Hwan Cha
Department of Statistics, Ewha Womans University, Seoul, Korea
Correspondence
Ji Hwan Cha, Department of Statistics, Ewha Womans University, Seoul 120-750, Korea.
Email: [email protected]
Search for more papers by this authorMaxim Finkelstein
Department of Mathematical Statistics, University of the Free State, Bloemfontein, South Africa
ITMO University, St. Petersburg, Russia
Search for more papers by this authorAbstract
We discuss models of preventive maintenance (PM) under different assumptions on the failure/repair processes. The main emphasis is on the PM modeling under the Brown-Proschan model for minimal/perfect repairs. We also present the generalization of this model for the failure/repair process governed by the generalized Polya process. Some comparisons with conventional PM models are discussed (Nonhomogeneous Poisson process, renewal process, and geometric process of failure/repairs). Several practical examples are considered.
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