On the waiting-time process in a single-line queue with repeated calls
1986 ◽
Vol 23
(01)
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pp. 185-192
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Waiting time in a queueing system is usually measured by a period from the epoch when a subscriber enters the system until the service starting epoch. For repeated orders queueing systems it is natural to measure the waiting time by the number of repeated attempts,R, which have to be made by a blocked primary call customer before the call enters service. We study this problem for theM/M/1/1 retrial queue and derive expressions for mean, variance and generating function ofR.Limit theorems are stated for heavy- and light-traffic cases.
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1989 ◽
Vol 21
(02)
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pp. 485-487
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1983 ◽
Vol 20
(03)
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pp. 675-688
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1973 ◽
Vol 10
(02)
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pp. 354-367
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1977 ◽
Vol 14
(03)
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pp. 566-576
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