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Mini-Max Problem (MMP)

maxi { fi(x) } -> min, i=0...I

subjected to

  • Box - bound constraints
    • lb <= x <= ub (some coords of lb and ub can be +/- inf)
  • General linear constraints
    • A*x <= b
    • Aeq*x = beq
  • Non-linear constraints
    • ci(x) <= 0, i = 0...I
    • hj(x) = 0, j = 0...J

OpenOpt MMP example >>>


MMP solvers

solverlicenseinfo
nsmmBSDCan handle linear & non-lin constraints, user-supplied gradients/subgradients df, dc, dh. Ill-conditioned, piecewise linear and polynomial, non-smooth & noisy funcs are also allowed. The solver is intended to be enhanced in future. Solves NSP max(f_i(x)) -> min