Geodesic
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/