Many-Server Queueing Systems with Heterogeneous Strategic Servers in Heavy Traffic
首次严格研究了排队系统中策略性异质服务器，通过新颖的渐近框架分析均衡行为，发现当服务器对低空闲率足够厌恶时，平方根人员配置规则仍保持最优。
Strategic Servers with Individual Preferences in Heavy Traffic Agents in service systems are known to strategically adjust their service speeds to maximize idle time. “Many-Server Queueing Systems with Heterogeneous Strategic Servers in Heavy Traffic” by Büke, dos Reis, and Platonov is the first work to rigorously examine strategic heterogeneous servers in queueing systems. The authors address this technically challenging problem using a novel asymptotic framework that provides valuable insights into equilibrium behavior. The analysis goes beyond existing literature by incorporating a remarkably general class of utility functions and routing policies, allowing for variation in agents’ marginal utility of idleness. One of the key results shows that the celebrated square-root staffing rule retains its optimality—even in the presence of strategic behavior—when agents are sufficiently averse to low levels of idleness.