Single-server queues with impatient customers
1984 ◽
Vol 16
(04)
◽
pp. 887-905
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Keyword(s):
We consider a single-server queueing system in which a customer gives up whenever his waiting time is larger than a random threshold, his patience time. In the case of a GI/GI/1 queue with i.i.d. patience times, we establish the extensions of the classical GI/GI/1 formulae concerning the stability condition and the relation between actual and virtual waiting-time distribution functions. We also prove that these last two distribution functions coincide in the case of a Poisson input process and determine their common law.
1984 ◽
Vol 16
(4)
◽
pp. 887-905
◽
1976 ◽
Vol 13
(03)
◽
pp. 619-622
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1974 ◽
Vol 11
(04)
◽
pp. 849-852
◽
1964 ◽
Vol 4
(4)
◽
pp. 489-505
◽
Keyword(s):
1974 ◽
Vol 11
(03)
◽
pp. 612-617
◽