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Performance Analysis of a Queueing System with Time-Limited Nonstop Forwarding


Paper Type 
Contributed Paper
Title 
Performance Analysis of a Queueing System with Time-Limited Nonstop Forwarding
Author 
Yutae Lee
Email 
ylee@deu.ac.kr
Abstract:

We consider a queueing system in which the server does not stop immediately after breakdowns

but keeps working for a limited period of time. Many physical real-life situations can be more
accurately analyzed by this kind of queueing systems. For example, it can be used to model nonstop
forwarding mechanism applied to network equipment, which allows networking applications to continue
forwarding their packets even in the event of a network failure. Within the framework of M/M/1
time-limited nonstop forwarding queue, we derive analytically the service availability, the steady-state
joint distribution of the system state and the number of customers, and the delay distribution by using
probability generating function method. Some numerical examples are also presented to demonstrate
the applicability of the queueing systems with nonstop forwarding.
Start & End Page 
664 - 673
Received Date 
2020-06-10
Revised Date 
Accepted Date 
2020-10-28
Full Text 
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Keyword 
nonstop forwarding, server breakdown, queueing system, performance analysis
Volume 
Vol.48 No.2 (March 2021)
DOI 
SDGs
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Chiang Mai Journal of Science

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