MATHEMATICAL ASPECTS OF THE THEORY OF QUEUING.

  • N.N Amosova Peter the Great St.Petersburg Polytechnic University (SPbPU)
Keywords: queuing systems, systems with failures and with waiting, the process of reproduction and death, performance indicators, economic evaluation.

Abstract

The paper outlines the basic concepts and gives the history of the emergence and development of the theory
of queuing. The formulation of problems in the theory of queuing, the main elements that characterize the structure
of the queuing system are considered. The main types of queuing systems are given: queuing systems with failures
and waiting, systems with an unlimited number of servers, multi-phase queuing systems and systems with
priorities. Various characteristics of the systems under consideration, which are indicators of the quality of the
system's functioning, are considered. These are performance indicators (probabilistic estimates) and economic
estimates of the system operation.

Author Biography

N.N Amosova, Peter the Great St.Petersburg Polytechnic University (SPbPU)

Docent, Candidat of phys.-mat. sciences

References

1. Amosova N.N., Maksimov Ju.D. Matematika. Teorija massovogo obsluzhivanija. Uchebnoe posobie. Izd-vo Politehn. un-ta, 2013, 200s.
2. Amosova N.N., Kuklin B.A., Makarova S.B. i dr. Verojatnostnye razdely matematiki. Uchebnik dlja bakalavrov tehnicheskih napravlenij. Pod obshhej redakciej Ju.D. Maksimova. S.-Peterburg «Ivan Fedorov», 2001, 589 s.
3. Amossowa N., Gillert H., Küchler U., Maximow J. D. Bedienungstheorie. Leipzid: Teubner Verlags gesellschaft, 1986. – 256 s.
Published
2023-01-06
How to Cite
Amosova, N.N. 2023. “MATHEMATICAL ASPECTS OF THE THEORY OF QUEUING.”. EurasianUnionScientists, January, 23-25. https://fizmat-tech.euroasia-science.ru/index.php/Euroasia/article/view/861.