Details

Autor(en) / Beteiligte

• Vishnevsky, Vladimir
• Vytovtov, Konstantin
• Barabanova, Elizaveta
• Semenova, Olga

Titel

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

Ist Teil von

• Mathematics (Basel), 2021-10, Vol.9 (20), p.2559

Ort / Verlag

Basel: MDPI AG

Erscheinungsjahr

2021

Link zum Volltext

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• 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.