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System availability behavior of some stationary dependent sequences
Affiliation:1. Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina;2. Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica and Universidad Nacional de Cuyo, Av. Bustillo 9500, 8400 Bariloche, Argentina;1. T-6 Theoretical Biology and Biophysics, Theoretical Division, Los Alamos National Laboratory, NM87545, USA;2. T-CNLS Center for Nonlinear Studies, Los Alamos National Laboratory, NM87545, USA;1. Department of Electrical and Computer Engineering, University of Kashan, 6 km Ghotbravandi Blvd, Postal Code: 8731753153, Kashan, Iran;2. Research and Innovation Center for Electrical Engineering (RICE), Faculty of Electrical Engineering, University of West Bohemia (UWB), Postal Code: 30100, Pilsen, Czech Republic;1. Faculdade de Ciências, Universidade da Beira Interior, R. Marquês D''Ávila e Bolama, 6201-001, Covilhã, Portugal;2. Fiber Materials and Environmental Technologies (FibEnTech-UBI), Universidade da Beira Interior, R. Marquês D''Ávila e Bolama, 6201-001, Covilhã, Portugal;3. Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, R. Marquês D''Ávila e Bolama, 6201-001, Covilhã, Portugal
Abstract:We consider the system availability behavior of a one-unit repairable system when the failure and the repair times are generated by a stationary dependent sequence of random variables. We obtain the general expression for the point availability, and discuss the nature of the availability measure for two time series models: a first-order exponential moving average process and a first-order exponential autoregressive process.
Keywords:Repairable systems  Availability  Exponential autoregressive process  Exponential moving average process
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