TY - GEN
T1 - Erlang service system with limited memory space under control of AQM mechanizm
AU - Tikhonenko, Oleg
AU - Kempa, Wojciech M.
N1 - Publisher Copyright:
© Springer International Publishing AG 2017.
PY - 2017
Y1 - 2017
N2 - We investigate the M/G/n ≤ ∞/(0, V)-type Erlang loss service system with n ≤ ∞ independent service stations and Poisson arrival stream in which volumes of entering demands and their processing times are generally distributed and, in general, are dependent random variables. Moreover, the total volume of all demands present simultaneously in the system is bounded by a non-random value V (system memory capacity). The enqueueing process is controlled by an AQM-type non-increasing accepting function. Two different acceptance rules are considered in which the probability of acceptance is dependent or independent on the volume of the arriving demand. Stationary queue-size distribution and the loss probability are found for both scenarios of the system behavior. Besides, some special cases are discussed. Numerical examples are attached as well.
AB - We investigate the M/G/n ≤ ∞/(0, V)-type Erlang loss service system with n ≤ ∞ independent service stations and Poisson arrival stream in which volumes of entering demands and their processing times are generally distributed and, in general, are dependent random variables. Moreover, the total volume of all demands present simultaneously in the system is bounded by a non-random value V (system memory capacity). The enqueueing process is controlled by an AQM-type non-increasing accepting function. Two different acceptance rules are considered in which the probability of acceptance is dependent or independent on the volume of the arriving demand. Stationary queue-size distribution and the loss probability are found for both scenarios of the system behavior. Besides, some special cases are discussed. Numerical examples are attached as well.
KW - Active Queue Management (AQM)
KW - Erlang service system
KW - Loss probability
KW - Queuesize distribution
KW - Supplementary variables’ technique
UR - https://www.scopus.com/pages/publications/85020390084
U2 - 10.1007/978-3-319-59767-6_29
DO - 10.1007/978-3-319-59767-6_29
M3 - Conference contribution
AN - SCOPUS:85020390084
SN - 9783319597669
T3 - Communications in Computer and Information Science
SP - 366
EP - 379
BT - Computer Networks - 24th International Conference, CN 2017, Proceedings
A2 - Gaj, Piotr
A2 - Kwiecien, Andrzej
A2 - Sawicki, Michal
PB - Springer Verlag
T2 - 24th International Conference on Computer Networks, CN 2017
Y2 - 20 June 2017 through 23 June 2017
ER -