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

Autor:	Alkaff, Abdullah
Rok vydání:	2019
Předmět:	Mathematics - Probability Mathematics - Operator Algebras 60E05 45F05 (Primary) 15A16 46M05 47N30 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.04461 Zobrazit plný text záznamu View this record from Arxiv