@article{232,
author = "R Sivasamy and K Thaga and L.L. Mokgatlhe",
abstract = "This article analyses a Markovianqueueing system M/(M1,M2,M3)/3/(B1,B2) with stalling. It stalls customers ofqueue-1 into a finite buffer B1 of maximum size ‘Kμ2> μ3. Arrivals occur according to a Poisson process with mean arrival rateλ. Main focus is on the steady state queue length distribution which consists of two stages. Instage-1, ‘Queue Length’ process of the finite M/(M1,M2,M3)/3/(B1,3) system is formulated as a Quasi-Birth and Death process in a three dimensional finite state space. The stationary probability vector of the queue length is obtained using matrix analyticalmethods. In stage-2, using analytical methods, stage-1 results obtained on the finite queue length are linked to the infinite queue length process of the M/(M1,M2,M3)/3/(B1,B2) system subject to a condition ρ=(λ/μ)",
issn = "23942894",
journal = "IJASM",
keywords = "Generator Matrix;Heterogeneous Servers;Mean Queue Length;Stationary Probability Vector;Quasi-Birth-Death Process",
month = "March",
number = "2",
pages = "25-30",
title = "{A}nalysis of {T}hree {S}erver {Q}ueues with {S}talling",
volume = "4",
year = "2017",
}