Matrix-analytic solution of system of integral equations in three tandem servers

التفاصيل البيبلوغرافية
العنوان: Matrix-analytic solution of system of integral equations in three tandem servers
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