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Please consider

https://stoprog.org/what-stochastic-programming

and look at "A SIMPLE INTEGER RECOURSE MODEL" at

"Stochastic Integer Programming" section.

Should not $b_i$ be $y_ib_i$ in the cost function and $q_i$ in the second-stage function as in the attached picture?

enter image description here

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    $\begingroup$ Please edit your question to contain all the necessary information. Providing the reference link is fine, but if that link were to rot, then this question would not be useful for future visitors. $\endgroup$ Feb 20 '21 at 15:42
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Yes. Assuming that $\alpha$, $\beta$ and $\gamma$ in the text are the same as $a$, $b$ and $g$ in the model, then $b_i$ should be $b_i y_i$.

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    $\begingroup$ In addition, there should be $q_i$ in the second-stage cost function as in the attached picture, right? $\endgroup$ Feb 22 '21 at 4:58

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