On the quasi-stationary distribution of the virtual waiting time in queues with Poisson arrivals
1971 ◽
Vol 8
(03)
◽
pp. 494-507
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Keyword(s):
We consider a single server queueing system M/G/1 in which customers arrive in a Poisson process with mean λt, and the service time has distribution dB(t), 0 < t < ∞. Let W(t) be the virtual waiting time process, i.e., the time that a potential customer arriving at the queueing system at time t would have to wait before beginning his service. We also let the random variable denote the first busy period initiated by a waiting time u at time t = 0.
1989 ◽
Vol 21
(02)
◽
pp. 485-487
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1969 ◽
Vol 6
(03)
◽
pp. 550-564
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Keyword(s):
Keyword(s):
1997 ◽
Vol 34
(03)
◽
pp. 800-805
◽
Keyword(s):
Keyword(s):