Methods of investigation of queueing network with jumps of service rate
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 2, pp. 113-126
Voir la notice de l'article provenant de la source Math-Net.Ru
The equilibrium and the non-equilibrium behaviours of the uniform tandem with jump-like service rate
in each queue are examined. The uniform tandem represents a specific multiplicative queueing network and
involves a sequence of queues being identical with respect to customer's services. It is a suitable mathematical
model providing analysis of the effect of the jump-like service rate on the probability-temporal measures
related, in particular, to transient processes.
For the equilibrium behaviour, the state space structure is determined, and the Laplace–Stieltjes transform
of the cycle times distribution is obtained. For the non-equilibrium behaviour, the recurrence solution of the
Kolmogorov differential equations is developed, the transient process time is evaluated, the integral and the
phase trajectories for the respective Markov process are investigated.
@article{SJVM_2002_5_2_a2,
author = {V. G. Belyakov and N. A. Miroshnichenko and E. V. Rubtsova},
title = {Methods of investigation of queueing network with jumps of service rate},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {113--126},
publisher = {mathdoc},
volume = {5},
number = {2},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2002_5_2_a2/}
}
TY - JOUR AU - V. G. Belyakov AU - N. A. Miroshnichenko AU - E. V. Rubtsova TI - Methods of investigation of queueing network with jumps of service rate JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2002 SP - 113 EP - 126 VL - 5 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2002_5_2_a2/ LA - ru ID - SJVM_2002_5_2_a2 ER -
%0 Journal Article %A V. G. Belyakov %A N. A. Miroshnichenko %A E. V. Rubtsova %T Methods of investigation of queueing network with jumps of service rate %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2002 %P 113-126 %V 5 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2002_5_2_a2/ %G ru %F SJVM_2002_5_2_a2
V. G. Belyakov; N. A. Miroshnichenko; E. V. Rubtsova. Methods of investigation of queueing network with jumps of service rate. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 2, pp. 113-126. http://geodesic.mathdoc.fr/item/SJVM_2002_5_2_a2/