On a class of queue disciplines
Applications of Mathematics, Tome 20 (1975) no. 5, pp. 345-358
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The aim of the paper is to investigate queueing systems of the type $M/Mn$ (in equilibrium) in which customers to be served are selected from the queue: with fixed probabilities either the first customer or the last one is chosen. Using the standard method of generating functions the waiting time distribution and the outtaking probabilities are derived.
The aim of the paper is to investigate queueing systems of the type $M/Mn$ (in equilibrium) in which customers to be served are selected from the queue: with fixed probabilities either the first customer or the last one is chosen. Using the standard method of generating functions the waiting time distribution and the outtaking probabilities are derived.
DOI : 10.21136/AM.1975.103600
Classification : 60K25
@article{10_21136_AM_1975_103600,
     author = {Dufkov\'a, V\v{e}ra and Z{\'\i}tek, Franti\v{s}ek},
     title = {On a class of queue disciplines},
     journal = {Applications of Mathematics},
     pages = {345--358},
     year = {1975},
     volume = {20},
     number = {5},
     doi = {10.21136/AM.1975.103600},
     mrnumber = {0386051},
     zbl = {0324.60074},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1975.103600/}
}
TY  - JOUR
AU  - Dufková, Věra
AU  - Zítek, František
TI  - On a class of queue disciplines
JO  - Applications of Mathematics
PY  - 1975
SP  - 345
EP  - 358
VL  - 20
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1975.103600/
DO  - 10.21136/AM.1975.103600
LA  - en
ID  - 10_21136_AM_1975_103600
ER  - 
%0 Journal Article
%A Dufková, Věra
%A Zítek, František
%T On a class of queue disciplines
%J Applications of Mathematics
%D 1975
%P 345-358
%V 20
%N 5
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1975.103600/
%R 10.21136/AM.1975.103600
%G en
%F 10_21136_AM_1975_103600
Dufková, Věra; Zítek, František. On a class of queue disciplines. Applications of Mathematics, Tome 20 (1975) no. 5, pp. 345-358. doi: 10.21136/AM.1975.103600

[1] F. Ferschl: Zufallsabhängige Wirtschaftsprozesse. Physica Veriag, Wien-Würzburg 1964. | MR | Zbl

[2] J. F. C. Kingman: The effect of queue discipline on waiting time variance. Proceed. Cambridge Phil. Soc., 58 (1962), 163-164. | DOI | MR | Zbl

[3] D. G. Tambouratzis: On a property of the variance of the waiting time of a queue. Journal of Applied Probability, 5 (1968), 702-703. | DOI | MR | Zbl

[4] O. Vašíček: Poznámka k čekací disciplíně v systémech hromadné obsluhy. Aplikace matematiky, 10 (1965), 423 - 427. | MR

[5] F. Zítek: Über die Kundenreihenfolge in Bedienungssystemen. Aplikace matematiky, 15 (1970), 356-383. | MR

[6] F. Zítek: Über die Kundenreihenfolge in Systemen $M/E_r/1$. Aplikace matematiky, 17 (1972), 191-208. | MR

[7] F. Zítek: Sur l'ordre des clients dans les systèmes d'attente. Proceedings of the Fourth Conference on Probability Theory - Braşov, September 1971. Editura Academiei R. S. R., Bucureşti 1973, 607-619. | MR

[8] F. Zítek: On a class of queue disciplines. Proceedings of the Fifth Conference on Probability Theory - Braşov, September 1974. (In print.)

Cité par Sources :