Hazard Rate Scaling of the Abandonment Distribution for the GI/M/n plus GI Queue in Heavy Traffic

• 成果类型: Article
• 署名作者: Reed, Josh; Tezcan, Tolga
• 署名单位: New York University; University of Rochester
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.1120.1069
• 发表日期: 2012
• 页码: 981-995
• 关键词: diffusion-approximation; LIMITS

摘要

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 craters.