The M/M
/∞ queue in a random environment
Keyword(s):
The M/M/∞ queue in a random environment is an infinite-server queue where arrival and service rates are stochastic processes. Here we study the steady-state behavior of such a system. Explicit results are obtained for the factorial moments, the impossibility of a ‘matrix-Poisson' steady-state distribution is demonstrated and two numerical examples are presented.
2008 ◽
Vol 22
(3)
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pp. 355-371
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2016 ◽
Vol 48
(1)
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pp. 176-198
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1985 ◽
Vol 248
(5)
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pp. C498-C509
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1996 ◽
Vol 39
(4)
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pp. 525-540
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1969 ◽
Vol 7
(1)
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pp. 101-109
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2017 ◽
Vol 40
(5)
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pp. 915-926
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Keyword(s):