deletions | additions       diff --git a/section_Alternative_Formulation_We_reformulate__.tex b/section_Alternative_Formulation_We_reformulate__.tex  index ba7fb33..b886d91 100644  --- a/section_Alternative_Formulation_We_reformulate__.tex  +++ b/section_Alternative_Formulation_We_reformulate__.tex 
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\begin{align}\label{eq:in_fun}  \sum_u \hat{c}_u g_u &\rightarrow min && \\  \sum_{i: ij\in L}p_{ij} &= &+  \sum_{u\in j} g_u - =  \sum_{u \in j} d_u &&\forall j\in N &| &\lambda_j\\ p_{ij} + p_{ji} &= k^{(i,j)}\left(\frac{p_{ij} - p_{ji}}{2}\right)^2 &&\forall (i,j)\in L & | & \mu_{ij}\\  p_{ij} &= B_{ij}(\theta_j - \theta_i)&&\forall (i,j) &|& \chi_{ij} \\  p_{ij} - p_{ji} &\leq p^{max}_{ij},&& \forall (i,j) \in L &| &\sigma_{ij} \\