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arXiv · 1908.04461

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

Abdullah Alkaff
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Abstract

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.

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Abdullah Alkaff. 2019-08-12. Matrix-analytic solution of system of integral equations in three tandem servers. https://arxiv.org/abs/1908.04461

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