Opportunity-based age replacement with different intensity rates |
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Authors: | Takashi Satow Shunji Osaki |
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Institution: | Department of Social Systems Engineering Faculty of Engineering, Tottori University, Tottori, 680-8552, Japan;Faculty of Mathematical Sciences and Information Engineering Nanzan University, Aichi, 489-0863, Japan |
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Abstract: | This article considers an opportunity-based age replacement model with different intensity rates. Most of the articles suppose that opportunities are generated according to a homogeneous Poisson process, where the intensity rate does not change with time. However, social, economical, and physical environments can change the intensity rate. We suppose the intensity rate changes at specific age. The occurrence of opportunities is independent to the failure of a component. Pre ventive replacement is carried out at the first opportunity after ageT. If the component breaks down then it is replaced immediately. We derive the expected cost per unit time for an infinite time horizon. An optimal policy to minimize the expected cost per unit time is derived. Finally, numerical examples are given. |
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Keywords: | Author Keywords: Unreliable systems Intensity rate Preventive replacement Expected cost Optimal policy |
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