# Benders Decomposition Problem

$$r_{m_h,s}(n)=\frac B{m_hb_\ell s}\log_2(1+\gamma_{m_h,s}(n))$$

How to deal with multiple subproblems in Benders decomposition when the original objective function is in product form of an integer and multiple continuous variables within a log function term?

\begin{align}\max_{a,p,d_n}&\quad R_t-\eta_{EE}P_t^+\\\text{s.t.}&\quad (13)-(36)\end{align}

• Can you provide more details about the original problem? – RobPratt Sep 15 at 4:11
• The original problem is given in fig, where R consists of a log function, and each variable is also linked with this function. – Sheikh Salman Hassan Sep 15 at 5:22
• The graphics are too small to read, can you enter them as proper MathJax instead, or as well? – tripleee Sep 15 at 5:57
• I am looking abstract level of decomposition details for such kind of problem. Could anyone refer me to the multiple subproblems example of Bender Decomposition? – Sheikh Salman Hassan Sep 15 at 7:08