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Fractional programming
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Fractional programming : ウィキペディア英語版
Fractional programming
In mathematical optimization, fractional programming is a generalization of linear-fractional programming. The objective function in a fractional program is a ratio of two functions that are in general nonlinear. The ratio to be optimized often describes some kind of efficiency of a system.
==Definition==

Let f, g, h_j, j=1, \ldots, m be real-valued functions defined on a set \mathbf_0 \subset \mathbb^n. Let \mathbf = \_0: h_j(\boldsymbol) \leq 0, j=1, \ldots, m\}. The nonlinear program
:
\underset})},

where g(\boldsymbol) > 0 on \mathbf, is called a fractional program.

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