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Hazard rate scaling for the GI/M/n+GI queue in heavy traffic

Journal

Operations Research

Subject

Management Science and Operations

Authors / Editors

Reed J;Tezcan T

Publication Year

2012

Abstract

We obtain a heavy traffic limit for the GI/M/n + GI queue, which includes the entire patience time distribution. Our main approach is to scale the hazard rate function of the patience time distribution in such a way that our resulting diffusion approximation contains the entire hazard rate function. We then show through numerical studies that for various performance measures, our approximations tend to outperform those commonly used in practice. The robustness of our results is also demonstrated by applying them to solving constraint satisfaction problems arising in the context of telephone call centers.

Keywords

Heavy traffic; Many servers; Abandonment; Hazard rate

Available on ECCH

No


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