Transient Behavior of the MAP/M/1/N Queuing System-Reference-Cited by-同舟云学术

Transient Behavior of the MAP/M/1/N Queuing System

Published:2021-10-13 Issue:20 Volume:9 Page:2559
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Vishnevsky Vladimir^ORCID,Vytovtov Konstantin^ORCID,Barabanova Elizaveta^ORCID,Semenova Olga^ORCID

Abstract

This paper investigates the characteristics of the MAP/M/1/N queuing system in the transient mode. The matrix method for solving the Kolmogorov equations is proposed. This method makes it possible, in general, to obtain the main characteristics of the considered queuing system in a non-stationary mode: the probability of losses, the time of the transient mode, the throughput, and the number of customers in the system at time t. The developed method is illustrated by numerical calculations of the characteristics of the MAP/M/1/3 system in the transient mode.

Funder

Russian Foundation for Basic Research

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/9/20/2559/pdf

Reference27 articles.

1. Methods to Study Queuing Systems with Correlated Arrivals;Dudin,2020

2. Introduction to Queueing Systems with Telecommunication Applications;Lakatos,2013

3. Queuing Theory and Telecommunications;Giambene,2014

4. The Single Server Queue;Cohen,2012

5. Queues and Inventories;Prabhu,1965

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size;Автоматика и телемеханика;2024-12-15

2. Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size;Automation and Remote Control;2024-01

3. Investigating Transient Behavior of All-Optical Switch;Lecture Notes in Computer Science;2024

4. Transient Behavior of the Photonic Switch with Duplication of Switching Elements in the All-Optical Network with Heterogeneous Traffic;Communications in Computer and Information Science;2024

5. Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size;Automation and Remote Control;2024-01