Extreme value distribution for the M/G/1 and the G/M/1 queueing systems

J. W. Cohen

Annales de l'I.H.P. Probabilités et statistiques (1968)

  • Volume: 4, Issue: 1, page 83-98
  • ISSN: 0246-0203

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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 4.1 (1968): 83-98. <http://eudml.org/doc/76879>.

@article{Cohen1968,
author = {Cohen, J. W.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {probability theory},
language = {eng},
number = {1},
pages = {83-98},
publisher = {Gauthier-Villars},
title = {Extreme value distribution for the M/G/1 and the G/M/1 queueing systems},
url = {http://eudml.org/doc/76879},
volume = {4},
year = {1968},
}

TY - JOUR
AU - Cohen, J. W.
TI - Extreme value distribution for the M/G/1 and the G/M/1 queueing systems
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1968
PB - Gauthier-Villars
VL - 4
IS - 1
SP - 83
EP - 98
LA - eng
KW - probability theory
UR - http://eudml.org/doc/76879
ER -

References

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  1. [1] Takacs, L., Introduction to the theory of queues.Oxford University Press, New York, 1962. Zbl0106.33502MR133880
  2. [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. Zbl0203.18402MR189150
  3. [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. Zbl0178.20804MR208691
  4. [4] Cohen, J.W., The M/G/1 queueing system with finite waiting room. To be published. 
  5. [5] Cohen, J.W., Single server queue with uniformly bounded virtual waiting time. To be published. Zbl0164.48103MR226749
  6. [6] Cohen, J.W., Single server queue with uniformly bounded actual waiting time. To be published. Zbl0164.48103
  7. [7] Feller, W., An introduction to probability theory and its applications, vol. II, Wiley, New York, 1966. Zbl0138.10207MR210154
  8. [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. Zbl0162.49401MR232465
  9. [9] Cohen, J.W., Return times for state K within a busy cycle for the M/G/1 queue. To be published. 

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