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Effects of state-dependent balking on multi-server non-stationary queueing systems

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Effects of state-dependent balking on multi-server non-stationary queueing systems. / Chassioti, E.; Worthington, D. J.; Glazebrook, K. D.
In: Journal of the Operational Research Society, Vol. 65, No. 2, 03.2014, p. 278-290.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Chassioti E, Worthington DJ, Glazebrook KD. Effects of state-dependent balking on multi-server non-stationary queueing systems. Journal of the Operational Research Society. 2014 Mar;65(2):278-290. Epub 2013 Mar 13. doi: 10.1057/jors.2013.27

Author

Chassioti, E. ; Worthington, D. J. ; Glazebrook, K. D. / Effects of state-dependent balking on multi-server non-stationary queueing systems. In: Journal of the Operational Research Society. 2014 ; Vol. 65, No. 2. pp. 278-290.

Bibtex

@article{f4f3d555e3e144b69ed86fc9e3ab682d,
title = "Effects of state-dependent balking on multi-server non-stationary queueing systems",
abstract = "A combination of discrete-time modelling and theoretical analysis is used to develop an easy-to-use Normal approximation for the time-dependent behaviour of multi-server queueing systems subject to state-dependent balking. Key ndings that underpin the approximation are that time lags between peaks in arrival rates and congestion levels can be ignored; queue behaviour is insen- sitive to distribution of service time beyond its mean; and distribution of number in the system is near Normal. This model is then used to derive valuable management implications for service orientated systems where delays are frequent and abandonments are an important feature. Key insights are that such systems can often adopt very `sub-optimal' behaviour, and that customer impatience can be very beneficial where management wishes to improve system performance. `Optimal' performance is defined, and practical measures for queue managers to move system performance towards `optimality' are identified.",
keywords = "Time-dependent analysis, discrete-time, state-dependent balking, multi-server queues",
author = "E. Chassioti and Worthington, {D. J.} and Glazebrook, {K. D.}",
year = "2014",
month = mar,
doi = "10.1057/jors.2013.27",
language = "English",
volume = "65",
pages = "278--290",
journal = "Journal of the Operational Research Society",
issn = "0160-5682",
publisher = "Taylor and Francis Ltd.",
number = "2",

}

RIS

TY - JOUR

T1 - Effects of state-dependent balking on multi-server non-stationary queueing systems

AU - Chassioti, E.

AU - Worthington, D. J.

AU - Glazebrook, K. D.

PY - 2014/3

Y1 - 2014/3

N2 - A combination of discrete-time modelling and theoretical analysis is used to develop an easy-to-use Normal approximation for the time-dependent behaviour of multi-server queueing systems subject to state-dependent balking. Key ndings that underpin the approximation are that time lags between peaks in arrival rates and congestion levels can be ignored; queue behaviour is insen- sitive to distribution of service time beyond its mean; and distribution of number in the system is near Normal. This model is then used to derive valuable management implications for service orientated systems where delays are frequent and abandonments are an important feature. Key insights are that such systems can often adopt very `sub-optimal' behaviour, and that customer impatience can be very beneficial where management wishes to improve system performance. `Optimal' performance is defined, and practical measures for queue managers to move system performance towards `optimality' are identified.

AB - A combination of discrete-time modelling and theoretical analysis is used to develop an easy-to-use Normal approximation for the time-dependent behaviour of multi-server queueing systems subject to state-dependent balking. Key ndings that underpin the approximation are that time lags between peaks in arrival rates and congestion levels can be ignored; queue behaviour is insen- sitive to distribution of service time beyond its mean; and distribution of number in the system is near Normal. This model is then used to derive valuable management implications for service orientated systems where delays are frequent and abandonments are an important feature. Key insights are that such systems can often adopt very `sub-optimal' behaviour, and that customer impatience can be very beneficial where management wishes to improve system performance. `Optimal' performance is defined, and practical measures for queue managers to move system performance towards `optimality' are identified.

KW - Time-dependent analysis

KW - discrete-time

KW - state-dependent balking

KW - multi-server queues

U2 - 10.1057/jors.2013.27

DO - 10.1057/jors.2013.27

M3 - Journal article

VL - 65

SP - 278

EP - 290

JO - Journal of the Operational Research Society

JF - Journal of the Operational Research Society

SN - 0160-5682

IS - 2

ER -