(1) Vilnius Gediminas Technical University, Sauletekio 11, 10223 Vilnius, Lithuania
Abstract:
The object of this research in queueing theory is the Law of the Iterated Logarithm (LIL) under the conditions of heavy traffic
in Multiphase Queueing Systems (MQS). In this paper, the LIL is proved for extreme values of important probabilistic characteristics
of the MQS investigated as well as maxima and minima of the summary queue length of customers and maxima and minima of the
queue length of customers. Also, the paper presents a survey on the works for extreme values in queues and the queues in heavy
traffic.