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Reviewer 2
This paper proposes a distributed algorithm for the economic dispatch problem (EDP). It mainly studies the stochastic gradient-push method with asynchronous step-size and noisy gradient to deal with the finite delays in time-varying directed communication network of EDP. The author shows nice mathematical skills in presenting the results. However, the reviewer has to raise some questions about the model and algorithm in this study:
1.    Why not to include ramp-up and ramp-down limit constraint for units in the EDP model? Is the proposed algorithm applicable for an EDP model with time coupling constraints?
2.    The author should indicate the difference or improvement of the proposed algorithm in this study compared with reference [29].
3.    In introduction, the author mentioned ¡®This work adopts asynchronous step-size, which provides a more flexible range for step-size.¡¯ However, the advantage of asynchronous step-size is well displayed in Section 5.
4.    Numerical results in Section 5 should be simplified or reorganized. The author can just take one test system to analyze the effectiveness of the proposed algorithm in detail (for instance, 4-bus system). Moreover, comparison results between different cases are recommended to present in a table format for a better display.
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3.    In introduction, the author mentioned ¡®This work adopts asynchronous step-size, which provides a more flexible range for step-size.¡¯ However, the advantage of asynchronous step-size is well displayed in Section 5.
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