Hazard Rate Scaling of the Abandonment Distribution for theGI/M/n+GIQueue in Heavy Traffic
Operations Research · 2012 · Volume 60 · Issue 4
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
Enable JavaScript for citation tools and additional paper interactions.