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On the law of the iterated logarithm in hybrid multiphase queueing systems

100%
MINKEVIČIUS S.
Operations Research and Decisions
|
2020
|
vol. 30
|
issue 4
57-64
EN
The model of a hybrid multiphase queueing system (HMQS) has been developed to measure the performance of complex computer networks working under conditions of heavy traffic. Two probability limit theorems (laws of the iterated logarithm, LIL) are presented for a queue length of jobs in HMQS.
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Diffusion limits for the queue length of jobs in multi-server open queueing networks

63%
GREIČIUS E., MINKEVIČIUS S.
Operations Research and Decisions
|
2017
|
vol. 27
|
issue 4
71-84
EN
A mathematical model of a multiserver open queueing network in heavy traffic is developed. This model is that of a multiserver computer system network in heavy traffic. A limit theorem for the length of the queue has been presented.
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