AI 中文总结
该研究针对状态依赖行为下接纳控制是否必然减少拥塞的问题，通过随机序方法分析，发现其可能因内生反馈失效，明确初始忙期内有效的条件，凸显需考虑客户行为响应的重要性。
AI 中文摘要
接纳控制是一种广泛用于调节随机服务系统拥塞的机制，限制到达流量被期望能降低工作量并提升性能。然而在许多场景中，客户会基于观测到的系统状态做出决策，在控制行为与未来到达流量间形成反馈回路。这引出一个基本问题：在依赖状态的行为下，接纳控制是否必然减少拥塞？我们利用工作量过程的随机序来解决该问题，证明接纳控制可能因内生反馈效应而无法减少拥塞，并构建具体反例说明这一现象。随后确定了接纳控制在初始忙期内有效的一般条件，特别地，客户类型与服务需求间的独立性可消除不利反馈机制并恢复随机优势。这些结果凸显了接纳控制的基本局限性，以及在随机服务系统设计中考虑行为响应的重要性。
英文摘要
Admission control is a widely used mechanism for regulating congestion in stochastic service systems, where restricting arrivals is expected to reduce workload and improve performance. In many settings, however, customers make decisions based on the observed system state, creating a feedback loop between control actions and future arrivals. This raises a fundamental question: does admission control necessarily reduce congestion under state-dependent behavior? We address this question using stochastic ordering of workload processes. We show that admission control may fail to reduce congestion due to endogenous feedback effects, and construct explicit counterexamples illustrating this phenomenon. We then identify a general condition under which admission control is effective over the initial busy period. In particular, independence between customers' types and service requirements eliminates the adverse feedback mechanism and restores stochastic dominance. These results highlight fundamental limitations of admission control and the importance of accounting for behavioral responses in the design of stochastic service systems.
