Markov-modulated fluid flow model with server maintenance period
العنوان: | Markov-modulated fluid flow model with server maintenance period |
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المؤلفون: | Soohan Ahn, Ho Woo Lee, Jung Woo Baek |
المصدر: | Journal of the Korean Statistical Society. 49:395-421 |
بيانات النشر: | Springer Science and Business Media LLC, 2020. |
سنة النشر: | 2020 |
مصطلحات موضوعية: | Physics::Fluid Dynamics, Statistics and Probability, symbols.namesake, Markov chain, Control theory, symbols, Fluid queue, Markov process, Fluid level, State (computer science), Bayesian inference, Period (music), Mathematics |
الوصف: | We consider a Markov-modulated fluid flow model with server maintenance period. As soon as the fluid level reaches zero, the server begins a maintenance period of a random length. During the maintenance period, fluid arrives from outside depending on the state of the background Markov process and the level increases either vertically or linearly. This model can be applied to various real-world systems such as inventory systems and production systems. We first derive the distribution of the fluid level and the mean performance measures. Then, we present some numerical examples to show the effect of the maintenance time. |
تدمد: | 2005-2863 1226-3192 |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::8f7b616a528a5f1519fe6e5f7448deb4 https://doi.org/10.1007/s42952-019-00020-0 |
حقوق: | CLOSED |
رقم الأكسشن: | edsair.doi...........8f7b616a528a5f1519fe6e5f7448deb4 |
قاعدة البيانات: | OpenAIRE |
تدمد: | 20052863 12263192 |
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