I modeled a MISCOP problem with the following second-order cone constraints and this problem can be solved by CPLEX successfully. But, the weird thing is that when I fixed all integer variables as the values obtained, the CPLEX failed to solve the SCOP problem and said that these cone constraints are not convex. However, when I use the cplexd solver, it works. Why did this happen?
%% cone constraints
where n, L, B are set, V_s, I_s, I_sb are positive variables, P_l, Q_l, P_b, Q_b are free variables.
Problems with modeling
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