We study the multiserver-job setting in the load-focused multilevel scaling limit, where system load approaches capacity much faster than the growth of the number of servers $n$. We consider the ``1 and $n$'' system, where each job requires either one server or all $n$. Within the multilevel scaling limit, we examine three regimes: load dominated by $n$-server jobs, 1-server jobs, or balanced. In each regime, we characterize the asymptotic growth rate of the boundary of the stability region and the scaled mean queue length. We demonstrate that mean queue length peaks near balanced load via theory, numerics, and simulation.

翻译：本研究探讨负载聚焦型多级伸缩极限下的多服务器作业系统，其中系统负载趋近容量的速度远快于服务器数量$n$的增长。我们考察"1与$n$"系统模型，其中每个作业需求为单个服务器或全部$n$个服务器。在多级伸缩极限框架下，我们分析三种负载状态：以$n$服务器作业为主导、以单服务器作业为主导、以及平衡负载状态。针对每种状态，我们精确刻画了稳定区域边界的渐近增长速率与标准化平均队列长度。通过理论推导、数值计算与仿真实验，我们证明平均队列长度在接近平衡负载时达到峰值。