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.
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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