In the paper entitled "The effect of varying routing probability in two parallel queues with dynamic routing under a threshold-type scheduling", Kojima et al. derive an expression in the form of a product of powers for the state probabilities of a threshold-type shortest queue problem. In this note it is demonstrated that this expression is essentially more complicated and has the form of an infinite sum of products of powers. In fact, Kojima et al. find the first term in this infinite sum only.
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Ivo J. B. F. ADAN, Jaap WESSELS, W. Henk M. ZIJM, "The Effect of Varying Routing Probability in Two Parallel Queues with Dynamic Routing under a Threshold-Type Scheduling" in IEICE TRANSACTIONS on Communications,
vol. E76-B, no. 1, pp. 29-31, January 1993, doi: .
Abstract: In the paper entitled "The effect of varying routing probability in two parallel queues with dynamic routing under a threshold-type scheduling", Kojima et al. derive an expression in the form of a product of powers for the state probabilities of a threshold-type shortest queue problem. In this note it is demonstrated that this expression is essentially more complicated and has the form of an infinite sum of products of powers. In fact, Kojima et al. find the first term in this infinite sum only.
URL: https://global.ieice.org/en_transactions/communications/10.1587/e76-b_1_29/_p
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@ARTICLE{e76-b_1_29,
author={Ivo J. B. F. ADAN, Jaap WESSELS, W. Henk M. ZIJM, },
journal={IEICE TRANSACTIONS on Communications},
title={The Effect of Varying Routing Probability in Two Parallel Queues with Dynamic Routing under a Threshold-Type Scheduling},
year={1993},
volume={E76-B},
number={1},
pages={29-31},
abstract={In the paper entitled "The effect of varying routing probability in two parallel queues with dynamic routing under a threshold-type scheduling", Kojima et al. derive an expression in the form of a product of powers for the state probabilities of a threshold-type shortest queue problem. In this note it is demonstrated that this expression is essentially more complicated and has the form of an infinite sum of products of powers. In fact, Kojima et al. find the first term in this infinite sum only.},
keywords={},
doi={},
ISSN={},
month={January},}
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TY - JOUR
TI - The Effect of Varying Routing Probability in Two Parallel Queues with Dynamic Routing under a Threshold-Type Scheduling
T2 - IEICE TRANSACTIONS on Communications
SP - 29
EP - 31
AU - Ivo J. B. F. ADAN
AU - Jaap WESSELS
AU - W. Henk M. ZIJM
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E76-B
IS - 1
JA - IEICE TRANSACTIONS on Communications
Y1 - January 1993
AB - In the paper entitled "The effect of varying routing probability in two parallel queues with dynamic routing under a threshold-type scheduling", Kojima et al. derive an expression in the form of a product of powers for the state probabilities of a threshold-type shortest queue problem. In this note it is demonstrated that this expression is essentially more complicated and has the form of an infinite sum of products of powers. In fact, Kojima et al. find the first term in this infinite sum only.
ER -