论文标题
无限之战：爆炸性激增与巨大服务提供商
The Battle of Infinity: Explosive Demand Surge vs Gigantic Service Providers
论文作者
论文摘要
无限的服务器队列具有最终的处理能力，以适应爆炸性需求浪潮。我们根据Borel-Cantelli引理提供了新的稳定标准，以判断无限服务器是否安全地满足了重型需求。我们详细说明了重尾需求和无限服务器之间的战斗。特别是，我们显示了一些爆炸性需求淹没无限服务器队列的情况。诸如Covid-19之类的大流行病造成的医疗需求给医疗体系带来了巨大的压力。该框架表明，医疗保健系统需要说明集群大小和住院时间长度分布的尾巴行为，以检查大流行期间其系统的稳定性。
Infinite server queues have ultimate processing power to accommodate explosive demand surges. We provide a new stability criterion based on the Borel-Cantelli lemma to judge whether the infinite server safely accommodates heavy-tailed demands. We illustrate the battles between heavy-tailed demand and infinite servers in detail. In particular, we show some cases where the explosive demand overwhelms the infinite server queue. The medical demand caused by pandemics such as the COVID- 19 creates huge stress to the healthcare system. This framework indicates that healthcare systems need to account for the tail behavior of the cluster size and hospital stay length distributions to check the stability of their systems during pandemics.
