... nonlinear fractional programming problem Using Charnes - Cooper's transformation (see [2], p 54), the problem is reduced to an equivalent nonlinear programming problem and then the nonlinear problem ... problem is transformed into a linear programming problem with one more variable and two more constraints compare to the initial problem Finally, numerical examples are given to illustrate the proposed ... 0)0)y0 + ( 1 + ( 1 - 1) 1) y1 + + (n + ( n - n)n)yn → min, c0 y0 + c1 y1 + + cnyn ≤ 1, d0 y0 + d1 y1 + + dnyn ≥ - by0 + A1y1 + + Anyn ≤ 0, y0 ≥ 0, y1 ≥ 0, , yn ≥ 0 ≤ k ≤ 1, k = 0, 1, ...