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The Law of the Iterated Logarithm for Extreme Waiting Time in Multiphase Queueing Systems |
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| Authors: | Minkevičius S. |
| Affiliation: | (1) Institute of Mathematics and Informatics, Akademijos 4, LT-2021 Vilnius, Lithuania |
| Abstract: | The objective of this research in the 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 the extreme values of some important probabilistic characteristics of the MQS, namely, maxima and minima of the summary waiting time of a customer, and maxima and minima of the waiting time of a customer. |
| Keywords: | queueing systems multiphase queueing systems heavy traffic law of iterated logarithm extreme values summary waiting time of a customer waiting time of a customer |
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