Extreme value distribution for the M/G/1 and the G/M/1 queueing systems
Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 4 (1968) no. 1, pp. 83-98.
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     author = {Cohen, J. W.},
     title = {Extreme value distribution for the {M/G/1} and the {G/M/1} queueing systems},
     journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques},
     pages = {83--98},
     publisher = {Gauthier-Villars},
     volume = {4},
     number = {1},
     year = {1968},
     mrnumber = {232466},
     zbl = {0162.49302},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1968__4_1_83_0/}
}
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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'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 4 (1968) no. 1, pp. 83-98. http://www.numdam.org/item/AIHPB_1968__4_1_83_0/

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

[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 | Zbl

[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 | Zbl

[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 | Zbl

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

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

[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 | Zbl

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