Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -