Lysak N. The limiting theorems for controlled systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U000741

Applicant for

Specialization

  • 01.05.04 - Системний аналіз і теорія оптимальних рішень

16-02-2006

Specialized Academic Board

Д 26.001.35

Taras Shevchenko National University of Kyiv

Essay

The thesis investigates some fluid and non-standard queueing systems. In the case of systems of the first type the main results (1) provide conditions for existence of steady state; (2) point out explicit form of the stationary distributions (or their characteristic functions); (3) investigate the behaviour of stationary characteristics under heavy or light traffic. Several informative results are given for the M/G/1 system with the LRPT service discipline in heavy traffic. All the results obtained appear to be a quite distinct from the results previously known for the classical queueing systems.

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