An M/M/2 Queueing System with Heterogeneous Servers Including One with Working Vacation
2012 ◽
Vol 2012
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pp. 1-16
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Keyword(s):
This paper analyzes an M/M/2 queueing system with two heterogeneous servers, one of which is always available but the other goes on vacation in the absence of customers waiting for service. The vacationing server, however, returns to serve at a low rate as an arrival finds the other server busy. The system is analyzed in the steady state using matrix geometric method. Busy period of the system is analyzed and mean waiting time in the stationary regime computed. Conditional stochastic decomposition of stationary queue length is obtained. An illustrative example is also provided.
2018 ◽
Vol 7
(4.10)
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pp. 448
2014 ◽
Vol 31
(02)
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pp. 1440006
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2019 ◽
Vol 9
(1)
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pp. 5402-5408
Keyword(s):
2008 ◽
Vol 2008
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pp. 1-20
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2020 ◽
Vol 9
(1)
◽
pp. 63
Keyword(s):