About cumulative idle time model of the message switching system

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Abstract

The purpose of this research in the queueing theory is the theorem about the law of the iterated logarithm in multiphase queueing systems and its application to the mathematical model of the message switching system. First the law of the iterated logarithm is proved for the cumulative idle time of a customer. Finally we present an application of the proved theorem for the model of the message switching system.

Keywords

mathematical models of technical systems , queueing theory , multiphase queueing systems , a law of the iterated logarithm , cumulative idle time of a customer
  • S. Minkevicius VU Institute of Mathematics and Informatics, Akademijos 4, 08663 Vilnius, Lithuania. Vilnius University, Faculty of Mathematics and Informatics, Naugarduko 24, 03225 Vilnius, Lithuania.
  • Pages: 53–63
  • Date Published: 2013-06-01
  • Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal

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Published

2013-06-01

How to Cite

[1]
S. Minkevicius, “About cumulative idle time model of the message switching system”, CUBO, vol. 15, no. 2, pp. 53–63, Jun. 2013.

Issue

Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal

Section

Articles