Extreme value distribution for the M/G/1 and the G/M/1 queueing systems
Cohen, J. W.
Annales de l'I.H.P. Probabilités et statistiques, Tome 4 (1968), p. 83-98 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1968-01-01
@article{AIHPB_1968__4_1_83_0,
     author = {Cohen, J. W.},
     title = {Extreme value distribution for the M/G/1 and the G/M/1 queueing systems},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {4},
     year = {1968},
     pages = {83-98},
     mrnumber = {232466},
     zbl = {0162.49302},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_1968__4_1_83_0}
}

Cohen, J. W. Extreme value distribution for the M/G/1 and the G/M/1 queueing systems. Annales de l'I.H.P. Probabilités et statistiques, Tome 4 (1968) pp. 83-98. http://gdmltest.u-ga.fr/item/AIHPB_1968__4_1_83_0/

[1] Takacs, L., Introduction to the theory of queues. Oxford University Press, New York, 1962. | MR 133880 | Zbl 0106.33502

[2] Takacs, L., Application of Ballot theorems in the theory of queues. Proc. Symp. on Congestion Theory. The University of North Carolina Press, Chapel Hill, 1965. | MR 189150 | Zbl 0203.18402

[3] Cohen, J.W., The distribution of the maximum number of customers present simultaneously during a busy period for the system M/G/1 and for the system G/M/1. Journ. Appl. Prob., 4, 1967, p. 162-179. | MR 208691 | Zbl 0178.20804

[4] Cohen, J.W., The M/G/1 queueing system with finite waiting room. To be published.

[5] Cohen, J.W., Single server queue with uniformly bounded virtual waiting time. To be published. | MR 226749 | Zbl 0164.48103

[6] Cohen, J.W., Single server queue with uniformly bounded actual waiting time. To be published. | Zbl 0164.48103

[7] Feller, W., An introduction to probability theory and its applications, vol. II, Wiley, New York, 1966. | MR 210154 | Zbl 0138.10207

[8] Cohen, J.W. and Greenberg, I., Distribution of crossings of level K in a busy cycle of the M/G/1 queue. Ann. Inst. Henri Poincaré, B4, 1960, p. 75-81. | Numdam | MR 232465 | Zbl 0162.49401

[9] Cohen, J.W., Return times for state K within a busy cycle for the M/G/1 queue. To be published.