Geodesic
On a non-Markovian queueing problem under a control operating policy and start-up times
Applications of Mathematics, Tome 27 (1982) no. 4, pp. 243-250.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A non-Markovian queueing system with Poisson input is studied under a modified operating rule called "control operating policy" in which the server begins "start-up" only when the queue length reaches a fixed number $n(\geq 1)$. By using the supplementary variable technique, the distribution of the queue length (excluding those being served) in the form of a generating function is obtained. As a special case, a Markovian queueing system with exponential start-up is discussed in detail to analyse the economic behaviour of the system.
DOI : 10.21136/AM.1982.103969
Classification : 60E10, 60K25, 90B22
Keywords: control operating policy; distribution of the queue length; economic behaviour of systems 
@article{10_21136_AM_1982_103969,
     author = {Borthakur, Arun and Gohain, Ruby},
     title = {On a {non-Markovian} queueing problem under a control operating policy and start-up times},
     journal = {Applications of Mathematics},
     pages = {243--250},
     publisher = {mathdoc},
     volume = {27},
     number = {4},
     year = {1982},
     doi = {10.21136/AM.1982.103969},
     mrnumber = {0666903},
     zbl = {0491.60097},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103969/}
}
TY  - JOUR
AU  - Borthakur, Arun
AU  - Gohain, Ruby
TI  - On a non-Markovian queueing problem under a control operating policy and start-up times
JO  - Applications of Mathematics
PY  - 1982
SP  - 243
EP  - 250
VL  - 27
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103969/
DO  - 10.21136/AM.1982.103969
LA  - en
ID  - 10_21136_AM_1982_103969
ER  - 
%0 Journal Article
%A Borthakur, Arun
%A Gohain, Ruby
%T On a non-Markovian queueing problem under a control operating policy and start-up times
%J Applications of Mathematics
%D 1982
%P 243-250
%V 27
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103969/
%R 10.21136/AM.1982.103969
%G en
%F 10_21136_AM_1982_103969
Borthakur, Arun; Gohain, Ruby. On a non-Markovian queueing problem under a control operating policy and start-up times. Applications of Mathematics, Tome 27 (1982) no. 4, pp. 243-250. doi : 10.21136/AM.1982.103969. http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103969/

Cité par Sources :