Market Making under a Weakly Consistent Limit Order Book Model contains the following paragraph

"The market maker may achieve her target execution profile by continuously adjusting her limit orders in the LOB to be roughly the proportion ρ of the queue length at each price level, but the detailed mechanism is outside the scope of this paper."

Does anyone have any references for how this is achieved in practice given the presence of both trades and cancels removing depth at the best prices?


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