A study of the Inverse Gaussian Process with hazard rate functions-based drifts applied to degradation modelling

• Autorzy: Rodríguez-Picón Luis Alberto , Méndez-González Luis Carlos , Pérez-Olguín Iván JC , Hernández-Hernández Jesús Israel

Identyfikatory

DOI

10.17531/ein.2022.3.20

• Języki publikacji: EN

Abstrakty

EN

The stochastic modelling of degradation processes requires different characteristics to be considered, such that it is possible to capture all the possible information about a phenomenon under study. An important characteristic is what is known as the drift in some stochastic processes; specifically, the drift allows to obtain information about the growth degradation rate of the characteristic of interest. In some phenomenon’s the growth rate cannot be considered as a constant parameter, which means that the rate may vary from trajectory to trajectory. Given this, it is important to study alternative strategies that allow to model this variation in the drift. In this paper, several hazard rate functions are integrated in the inverse Gaussian process to describe its drift in the aims of individually characterize degradation trajectories. The proposed modelling scheme is illustrated in two case studies, from which the best fitting model is selected via information criteria, a discussion of the flexibility of the proposed models is provided according to the obtained results.

Słowa kluczowe

EN

inverse Gaussian process; hazard rate function; degradation rate; variable drift

• Wydawca: Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne
• Czasopismo: Eksploatacja i Niezawodność
• Rocznik: 2022
• Tom: Vol. 24, no. 3
• Strony: 590--602
• Opis fizyczny: Bibliogr. 41 poz., rys., tab.

Twórcy

autor

Rodríguez-Picón Luis Alberto

• Autonomous University of Ciudad Juárez, Department Industrial Engineering and Manufacturing, Av. Plutarco Elías Calles 1210, Fovissste Chamizal, 32310 Ciudad Juárez, Chihuahua, México

• https://orcid.org/0000-0003-2951-2344

autor

Méndez-González Luis Carlos

• Autonomous University of Ciudad Juárez, Department Industrial Engineering and Manufacturing, Av. Plutarco Elías Calles 1210, Fovissste Chamizal, 32310 Ciudad Juárez, Chihuahua, México

• https://orcid.org/0000-0002-2533-0036

autor

Pérez-Olguín Iván JC

• Autonomous University of Ciudad Juárez, Department Industrial Engineering and Manufacturing, Av. Plutarco Elías Calles 1210, Fovissste Chamizal, 32310 Ciudad Juárez, Chihuahua, México

• https://orcid.org/0000-0003-2445-0500

autor

Hernández-Hernández Jesús Israel

• Autonomous University of Ciudad Juárez, Department of Electrical and Computer Engineering, Av. Plutarco Elías Calles 1210, Fovissste Chamizal, 32310 Ciudad Juárez, Chihuahua, México

• https://orcid.org/0000-0003-3807-565X

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).