Definition of Optimal Time Intervals in the Queues’ Analysis: The Use of Epsilon-Entropy and Epsilon-Capacity

Eugene Kagan; Alexander Novoselsky

doi:10.20944/preprints202409.0583.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 6 September 2024 / Approved: 7 September 2024 / Online: 9 September 2024 (09:03:42 CEST)

In the paper, we suggest a method for calculating optimal time intervals in the queue analysis. The suggested method processes partitioning of the time interval and utilizes the epsilon-entropy and epsilon-capacity of the partition for finding an optimal partition. Optimality of the partition is specified based on its epsilon-information. The suggested method is illustrated by defining the intervals for histograms of differently distributed samples and demonstrated its effectiveness in comparison with the existing methods

Arrival rate; departure rate; epsilon-entropy; epsilon-capacity; epsilon-information; partition

Computer Science and Mathematics, Applied Mathematics

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Definition of Optimal Time Intervals in the Queues’ Analysis: The Use of Epsilon-Entropy and Epsilon-Capacity

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