Sensitivity of performance in the Erlang-A queueing model to changes in the model parameters

Sensitivity of performance in the Erlang-A queueing model to changes in the model parameters

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Article ID: iaor2008993
Country: United States
Volume: 54
Issue: 2
Start Page Number: 247
End Page Number: 260
Publication Date: Mar 2006
Journal: Operations Research
Authors:
Keywords: M/M/c queues, balking
Abstract:

This paper studies the M/M/s+M queue, i.e., the M/M/s queue with customer abandonment, also called the Erlang-A model, having independent and identically distributed customer abandon times with an exponential distribution (the +M), focusing on the case in which the arrival rate and the number of servers are large. The goal is to better understand the sensitivity of performance to changes in the model parameters: the arrival rate, the service rate, the number of servers, and the abandonment rate. Elasticities are used to show the percentage change of a performance measure caused by a small percentage change in a parameter. Elasticities are calculated using an exact numerical algorithm and simple finite-difference approximations. Insight is gained by applying fluid and diffusion approximations. The analysis shows that performance is quite sensitive to small percentage changes in the arrival rate or the service rate, but relatively insensitive to small percentage changes in the abandonment rate.

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