FCFS-ALIS下N系统的多服务器扩展
Many Server Scaling of the N-System Under FCFS-ALIS
摘要：
在先来先服务和分配给最长空闲服务器的策略下，具有独立泊松到达和指数服务器依赖服务时间的N-系统具有显式的稳态分布。我们规模的到来和服务器的数量同时，并获得流体和中心极限近似的稳定状态。这是探索一般并行服务系统的多服务器扩展限制行为的第一步。
英文摘要：
The N-System with independent Poisson arrivals and exponential server-dependent service times under first come first served and assign to longest idle server policy has explicit steady state distribution. We scale the arrival and the number of servers simultaneously, and obtain the fluid and central limit approximation for the steady state. This is the first step towards exploring the many server scaling limit behavior of general parallel service systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
