TY - JOUR AU - A. M. Bratiychuk PY - 2007/09/25 Y2 - 2024/03/28 TI - Rate of convergence to ergodic distribution for queue length in systems of the $M^{θ}/G/1/N$ JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 59 IS - 9 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3380 AB - 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 algorithms for finding the convergence rate are presented. ER -