TY - JOUR
T1 - Analytical approximation to the queuing model: (HE3/HE3/1)
T2 - (GD/∞/∞) for maintainability
AU - Kuo, Way
AU - Zhang, Weixing
PY - 1988
Y1 - 1988
N2 - A queuing model, (HE3/HE3/1):(GD/∞/∞), justified from a machine maintenance problem is investigated. This model defines both the inter-arrival times and service times as the hyperexponential distributions with three branches. This non-Poisson queing model is considered as an alternate queuing system consisting of three separate stages, each of which is a Poisson queue. Therefore, the conventional analytical approach to a Poisson queuing model can be applied. Accomplishments of this study include constructing the flow rate diagram, setting up the state balance equations for acquiring queuing statistics, and employing the Gauss-Siedel numerical approach to obtain an analytical solution. © 1988.
AB - A queuing model, (HE3/HE3/1):(GD/∞/∞), justified from a machine maintenance problem is investigated. This model defines both the inter-arrival times and service times as the hyperexponential distributions with three branches. This non-Poisson queing model is considered as an alternate queuing system consisting of three separate stages, each of which is a Poisson queue. Therefore, the conventional analytical approach to a Poisson queuing model can be applied. Accomplishments of this study include constructing the flow rate diagram, setting up the state balance equations for acquiring queuing statistics, and employing the Gauss-Siedel numerical approach to obtain an analytical solution. © 1988.
UR - http://www.scopus.com/inward/record.url?scp=0023825756&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0023825756&origin=recordpage
U2 - 10.1016/0026-2714(88)90327-7
DO - 10.1016/0026-2714(88)90327-7
M3 - RGC 21 - Publication in refereed journal
SN - 0026-2714
VL - 28
SP - 59
EP - 73
JO - Microelectronics Reliability
JF - Microelectronics Reliability
IS - 1
ER -