AM/M/N+Mqueueingnetworkisconsideredwithdindependentcustomerclasses and dserver pools in Halfin-Whitt regime. Class i customers has priority for servicein pool i for i = 1, . . . , d, and may access some other pool if the pool hasan idle server and all the servers in pool i are busy. We formulate an ergodiccontrol problem where the running cost is given by a non- negative convexfunction with polynomial growth. We show that the limiting controlled diffusionis modeled by an action space which depends on the state variable. We provide acomplete analysis for the limiting ergodic control problem and establishasymptotic convergence of the value functions for the queueing model
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机译：在Halfin-Whitt体制中，AM / M / N +排队网络与独立的客户类和服务器池一起考虑。对于i = 1，的I类客户在服务池i中享有优先服务。 。 。 ，d，并且如果该池有一个空闲服务器，并且该池i中的所有服务器都在忙，则可以访问其他池。我们提出了一个遍历控制问题，其中运行成本由多项式增长的非负凸函数给出。我们证明了极限受控扩散是由一个依赖状态变量的作用空间来建模的。我们提供了有限遍历控制问题的完整分析，并建立了排队模型值函数的渐近收敛性
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