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Optimality of constant arrival rate for a linear system with a bottleneck entrance
Systems & Control Letters ( IF 2.1 ) Pub Date : 2020-04-01 , DOI: 10.1016/j.sysconle.2020.104649
Guy Katriel

Abstract Sadeghi et al. considered a bottleneck system with periodic arrival rate, and proved that a constant-rate arrival maximizes the time-averaged output rate among all periodic arrival rates. Here we provide a short and elementary proof of this result, without use of optimal control theory. The new approach developed here allows us to prove an extension of the result to the case of a general non-periodic arrival rate.

中文翻译:

具有瓶颈入口的线性系统恒定到达率的最优性

摘要 Sadeghi 等。考虑了具有周期性到达率的瓶颈系统,并证明了恒定率到达使所有周期性到达率中的时间平均输出率最大化。在这里,我们在不使用最优控制理论的情况下提供了这个结果的简短和基本的证明。此处开发的新方法使我们能够证明将结果扩展到一般非周期性到达率的情况。
更新日期:2020-04-01
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