This paper reports on the overflow process for a trunk reservation system which has two kinds of Poisson inputs. The Laplace-Stieltjes transforms of the interoverflow distributions for each of priority calls and ordinary calls are derived, respectively. The overflow process for priority calls is renewal. The Laplace-Stieltjes transform of the interoverflow distribution for priority calls is represented by the recurrences, and the variance of overflow traffic can be easily obtained by the theory of GI/M/
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Fumiaki MACHIHARA, "On Overflow Processes for a Trunk Group with Trunk Reservation" in IEICE TRANSACTIONS on transactions,
vol. E65-E, no. 5, pp. 249-256, May 1982, doi: .
Abstract: This paper reports on the overflow process for a trunk reservation system which has two kinds of Poisson inputs. The Laplace-Stieltjes transforms of the interoverflow distributions for each of priority calls and ordinary calls are derived, respectively. The overflow process for priority calls is renewal. The Laplace-Stieltjes transform of the interoverflow distribution for priority calls is represented by the recurrences, and the variance of overflow traffic can be easily obtained by the theory of GI/M/
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e65-e_5_249/_p
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@ARTICLE{e65-e_5_249,
author={Fumiaki MACHIHARA, },
journal={IEICE TRANSACTIONS on transactions},
title={On Overflow Processes for a Trunk Group with Trunk Reservation},
year={1982},
volume={E65-E},
number={5},
pages={249-256},
abstract={This paper reports on the overflow process for a trunk reservation system which has two kinds of Poisson inputs. The Laplace-Stieltjes transforms of the interoverflow distributions for each of priority calls and ordinary calls are derived, respectively. The overflow process for priority calls is renewal. The Laplace-Stieltjes transform of the interoverflow distribution for priority calls is represented by the recurrences, and the variance of overflow traffic can be easily obtained by the theory of GI/M/
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - On Overflow Processes for a Trunk Group with Trunk Reservation
T2 - IEICE TRANSACTIONS on transactions
SP - 249
EP - 256
AU - Fumiaki MACHIHARA
PY - 1982
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E65-E
IS - 5
JA - IEICE TRANSACTIONS on transactions
Y1 - May 1982
AB - This paper reports on the overflow process for a trunk reservation system which has two kinds of Poisson inputs. The Laplace-Stieltjes transforms of the interoverflow distributions for each of priority calls and ordinary calls are derived, respectively. The overflow process for priority calls is renewal. The Laplace-Stieltjes transform of the interoverflow distribution for priority calls is represented by the recurrences, and the variance of overflow traffic can be easily obtained by the theory of GI/M/
ER -