The joint distribution of sojourn times for a customer traversing an overtake-free series of queues: The discrete time case

被引：2

作者：

Daduna, H ^{[1
]}

机构：

[1] Univ Hamburg, Inst Math Stochast, D-20146 Hamburg, Germany

来源：

QUEUEING SYSTEMS | 1997年 / 27卷 / 3-4期

关键词：

Bernoulli servers; FCFS; cycle times; product-form distribution; end-to-end delay; tandem networks;

D O I：

10.1023/A:1019174417470

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We investigate a cycle of Bernoulli servers in discrete time. We show that the joint distribution of a customer's sojourn times at the nodes during a round trip is of product form and can explicitly be written down. The results are used to prove independence of sojourn times in an open series of Bemoulli servers.

引用

页码：297 / 323

页数：27

共 6 条

[1] The joint distribution of sojourn times for a customer traversing an overtake-free series of queues: The discrete time case
Hans Daduna
[J]. Queueing Systems, 1997, 27 : 297 - 323
[2] The joint distribution of sojourn times for a customer traversing an overtake-free series of queues: The discrete time case
Daduna, Hans
[J]. Queueing Systems, 1997, 27 (3-4): : 297 - 323
[3] On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times
S. G. Foss
[J]. Problems of Information Transmission, 2007, 43 : 353 - 366
[4] On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times
Foss, S. G.
[J]. PROBLEMS OF INFORMATION TRANSMISSION, 2007, 43 (04) : 353 - 366
[5] TOTAL WAITING TIME DISTRIBUTION FUNCTION AND THE FATE OF A CUSTOMER IN A SYSTEM WITH TWO QUEUES IN SERIES.
Kraemer, W.
[J]. Elektronische Rechenanlagen, 1975, 17 (01): : 18 - 27
[6] PRODUCT-FORM DISCRETE-TIME QUEUES IN SERIES WITH BATCH TRANSITION - LATE ARRIVAL CASE
HARNPANICHPUN, N
PUJOLLE, G
[J]. PERFORMANCE EVALUATION, 1995, 21 (03) : 261 - 269

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