69980

Автор(ы): 

Автор(ов): 

4

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Analysis of an MAP/M/1/N queue with periodic and non-periodic piecewise constant input rate

Электронная публикация: 

Да

ISBN/ISSN: 

2227-7390

DOI: 

10.3390/math10101684

Наименование источника: 

  • Mathematics

Обозначение и номер тома: 

Vol. 10, No. 10

Город: 

  • Basel, Switzerland

Издательство: 

  • MDPI

Год издания: 

2022

Страницы: 

https://www.mdpi.com/2227-7390/10/10/1684
Аннотация
This paper considers a queuing system with a finite buffer, a constant main MAP flow, and an additional periodic (non-periodic) Poisson piecewise-constant flow of customers. The eigenvalues of the probability translation matrix of a Kolmogorov system with constant input intensities is analyzed. The definition of the transition mode time based on the analysis of the probability translation matrix determinant is introduced for the first time. An analytical solution to the Kolmogorov equation system for a queuing system with piecewise constant arrival and service intensities is found, the solutions for a queuing system with periodic arrival and service intensities are analyzed, and numerical calculations illustrating this approach are presented.

Библиографическая ссылка: 

Вишневский В.М., Вытовтов К.А., Барабанова Е.А., Семёнова О.В. Analysis of an MAP/M/1/N queue with periodic and non-periodic piecewise constant input rate // Mathematics. 2022. Vol. 10, No. 10. С. https://www.mdpi.com/2227-7390/10/10/1684.