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\begin{align}
(P4)\left\{ \begin{array}{l}
\max\sum_{i=1}^{m}w_{i}(1-z_i)\\
\mathrm{s}.\mathrm{t}:
\begin{array}{|r}
log(e_i)\geq \sum_{j\in J^{<1}_{i}}log(1-p_{ij}x_j)~\hspace*{2.2cm}~~i=1,\ldots, m\\
z_{i}\geq e_i-\sum_{j\in J^{=1}_{i}}x_j~\hspace*{4.2cm}~~i=1,\ldots, m\\
\sum_{j=1}^{n}C_j x_j\leq B~\hspace*{7.2cm}\\
\sum{k\in S_j}x_k\leq M(1-x_j)~\hspace*{3.4cm}~~j=1,\ldots, n\\
x\in\{0,1\}^{n}~\hspace*{5.6cm}~~j=1,\ldots, n\\
z_i\geq 0~\hspace*{6.4cm}~~i=1,\ldots, m
\end{array}
\right.
\end{array} \right.
\end{align}