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We proved some formulas to led to a conclude that in asynchronous API flow in mesh services, if a routing algorithm can sense back pressure and well control the flow following it, then it can propagate the throughput information to the previous layer, hence to the head of the system.
Then an important consequence is equation (35) maximum throughput of a system is the throughput of slowest layer so that we can identify the system capacity at the gateway then make an early drop decision to maintain the maximum throughput of the system
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