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Distribution of the maximum of the number of impulses at any instant in a type II counter in a given interval of time. (English) Zbl 0238.60090


MSC:

60K30 Applications of queueing theory (congestion, allocation, storage, traffic, etc.)
60K25 Queueing theory (aspects of probability theory)
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References:

[1] Neuts, Marcel, F.: The distribution of the maximum length of a Poisson Queue during a busy period. Operations Res.,12, 281–285, 1964. · Zbl 0127.35101 · doi:10.1287/opre.12.2.281
[2] Sankaranarayanan, G.: On some probability problems in a type II counter. J. Indian Math. Soc.,30, 79–86, 1966. · Zbl 0173.20002
[3] Takacs, L.: On some probability problem arising in the theory of counters. Proc. Camb. Phil. Soc.,53, 488–498, 1956. · Zbl 0075.29003 · doi:10.1017/S0305004100031480
[4] —- On the limiting distribution of the number of coincidences concerning telephone traffic. Ann. Math. Statist.,30, 134–142, 1959. · Zbl 0168.39002 · doi:10.1214/aoms/1177706365
[5] —- On the sequence of events selected by a counter from a recurrent process of events. Theory of probability and its applications, Vol. I, 81–91, 1956. · doi:10.1137/1101007
[6] Widder, D. V.: The Laplace transform. Princeton University Press, Princeton 1946. · Zbl 0060.24801
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