Matrix-analytic solution of system of integral equations in three tandem servers
Probability
2019-08-14 v1 Operator Algebras
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.
Keywords
Cite
@article{arxiv.1908.04461,
title = {Matrix-analytic solution of system of integral equations in three tandem servers},
author = {Abdullah Alkaff},
journal= {arXiv preprint arXiv:1908.04461},
year = {2019}
}
Comments
14 pages with 1 figure