کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
465086 | 697487 | 2009 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uniqueness of asymptotic solution for general Markov fluid models
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
شبکه های کامپیوتری و ارتباطات
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چکیده انگلیسی
We investigate the asymptotic workload distribution of fluid models with input and output rates which are modulated by an irreducible Markov process. An analytical solution is proposed in [H. Nabli, Asymptotic solution of stochastic fluid models, Perform. Eval. 57 (2004) 121–140] for general Markov fluid model. This probability distribution is controlled by a linear differential system with specific boundary conditions. The solution uniqueness is proved under a conjecture in the field of linear algebra. This conjecture is valid for all particular fluid models considered in the literature. In this paper, we will prove this conjecture for general fluid models. The numerical computation of the stationary distribution will be also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Performance Evaluation - Volume 66, Issues 9–10, September 2009, Pages 580–585
Journal: Performance Evaluation - Volume 66, Issues 9–10, September 2009, Pages 580–585
نویسندگان
Hédi Nabli, Haikel Ouerghi,