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Approximate analysis of non-stationary loss queues and networks of loss queues with general service time distributions

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Approximate analysis of non-stationary loss queues and networks of loss queues with general service time distributions. / Izady, N; Worthington, D J.

In: European Journal of Operational Research, Vol. 213, No. 3, 09.2011, p. 498-508.

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Izady, N ; Worthington, D J. / Approximate analysis of non-stationary loss queues and networks of loss queues with general service time distributions. In: European Journal of Operational Research. 2011 ; Vol. 213, No. 3. pp. 498-508.

Bibtex

@article{9be2fb837c1b4d4fb2b4365bc837dd37,
title = "Approximate analysis of non-stationary loss queues and networks of loss queues with general service time distributions",
abstract = "A Fixed Point Approximation (FPA) method has recently been suggested for non-stationary analysis of loss queues and networks of loss queues with Exponential service times. Deriving exact equations relating time-dependent mean numbers of busy servers to blocking probabilities, we generalize the FPA method to loss systems with general service time distributions. These equations are combined with associated formulae for stationary analysis of loss systems in steady state through a carried load to offered load transformation. The accuracy and speed of the generalized methods are illustrated through a wide set of examples.",
keywords = "Queueing, Erlang loss model, Time-dependent queues",
author = "N Izady and Worthington, {D J}",
year = "2011",
month = sep,
doi = "10.1016/j.ejor.2011.03.029",
language = "English",
volume = "213",
pages = "498--508",
journal = "European Journal of Operational Research",
issn = "0377-2217",
publisher = "Elsevier Science B.V.",
number = "3",

}

RIS

TY - JOUR

T1 - Approximate analysis of non-stationary loss queues and networks of loss queues with general service time distributions

AU - Izady, N

AU - Worthington, D J

PY - 2011/9

Y1 - 2011/9

N2 - A Fixed Point Approximation (FPA) method has recently been suggested for non-stationary analysis of loss queues and networks of loss queues with Exponential service times. Deriving exact equations relating time-dependent mean numbers of busy servers to blocking probabilities, we generalize the FPA method to loss systems with general service time distributions. These equations are combined with associated formulae for stationary analysis of loss systems in steady state through a carried load to offered load transformation. The accuracy and speed of the generalized methods are illustrated through a wide set of examples.

AB - A Fixed Point Approximation (FPA) method has recently been suggested for non-stationary analysis of loss queues and networks of loss queues with Exponential service times. Deriving exact equations relating time-dependent mean numbers of busy servers to blocking probabilities, we generalize the FPA method to loss systems with general service time distributions. These equations are combined with associated formulae for stationary analysis of loss systems in steady state through a carried load to offered load transformation. The accuracy and speed of the generalized methods are illustrated through a wide set of examples.

KW - Queueing

KW - Erlang loss model

KW - Time-dependent queues

U2 - 10.1016/j.ejor.2011.03.029

DO - 10.1016/j.ejor.2011.03.029

M3 - Journal article

VL - 213

SP - 498

EP - 508

JO - European Journal of Operational Research

JF - European Journal of Operational Research

SN - 0377-2217

IS - 3

ER -