تقرير
Matrix-analytic solution of system of integral equations in three tandem servers
العنوان: | Matrix-analytic solution of system of integral equations in three tandem servers |
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المؤلفون: | Alkaff, Abdullah |
سنة النشر: | 2019 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Probability, Mathematics - Operator Algebras, 60E05, 45F05 (Primary) 15A16, 46M05, 47N30 (Secondary) |
الوصف: | A matrix-analytic method is proposed for solving a system of linear integral equations arises in three tandem servers. The approach is by modelling the cumulative distribution function (cdf) of the service time as a matrix exponential function. The method transforms the system of linear integral equations into a system of linear algebraic equations, hence can produce closed-form solutions. Properties of the solution are discussed. Comment: 14 pages with 1 figure |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1908.04461 |
رقم الأكسشن: | edsarx.1908.04461 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |