 Fractional programming

Optimization of an objective given as a ratio, such as area divided by perimeter. When the denominator is positive, a trial ratio $r$ can be tested by maximizing numerator minus $r$ times denominator.

Fractional programming is a type of mathematical optimization that involves optimizing a fractional objective function, where the objective function is defined as the ratio of two functions. Typically, these functions are continuous and may be either linear or nonlinear.