Rate of convergence to ergodic distribution for queue length in systems of the $M^{θ}/G/1/N$

• Date: 2007
• Main Authors: Bratiychuk, A. M., Братійчук, А. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3380
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For finite capacity queueing systems of the type M θ/G/1, the convenient formulas for the ergodic distribution of a queue length are obtained. An estimate of a rate of convergence of the distribution of queue length in the trasient regime to the ergodic distribution is obtained and computational al...