On retrial system with vacation: service helpline performance measurement

WM Yeo, XM Yuan, JMW Low - Annals of Operations Research, 2017 - Springer
WM Yeo, XM Yuan, JMW Low
Annals of Operations Research, 2017Springer
This paper analyzes an unreliable M^ X/G (M/H)/1 MX/G (M/H)/1 retrial system with vacation.
We present closed-form expressions for the important performance indicators of the system,
and derive the optimal vacation policies for minimizing the average waiting time of orbiting
customers. The performance metrics relevant for helpline services are developed. Numerical
experiments are conducted to examine the effect of vacation policy on the queue length and
busy period of the system.
Abstract
This paper analyzes an unreliable retrial system with vacation. We present closed-form expressions for the important performance indicators of the system, and derive the optimal vacation policies for minimizing the average waiting time of orbiting customers. The performance metrics relevant for helpline services are developed. Numerical experiments are conducted to examine the effect of vacation policy on the queue length and busy period of the system.
Springer
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