A Diffusion Regime with Nondegenerate Slowdown
A Diffusion Regime with Nondegenerate Slowdown
复制标题
具有非简并减速的扩散机制
作者：
R. Atar
在传统和半惠特的交通繁重扩散制度中，典型客户经历的放缓（定义为索期的时间/服务时间比）分别在极限上退化为无穷大和1。但是，实际上，通常会发生延迟和服务时间可比性。我们研究了一个扩散状态，其中延迟和服务时间的数量级相同。在具有许多异质，指数级的服务器（可能被放弃的）的环境中，我们发现了这两个过程的限制性联合法律。
In both the conventional and the Halfin-Whitt heavy traffic diffusion regimes, the slowdown (defined as the sojourn time/service time ratio) experienced by a typical customer, degenerates in the limit, to infinity and 1, respectively. In practice, however, it often occurs that delay and service time are comparable. We study a diffusion regime in which delay and service time are of the same order of magnitude. In a setting with many heterogeneous, exponential servers, (possibly with abandonment), we find the limiting joint law of these two processes.