Research Article

An Efficient Algorithm for Solving a Class of Fractional Programming Problems

Table 2

Numerical computational comparisons among the algorithm BARON and our algorithm on Problem 1.

Our algorithmBARON
Avg (std).NTAvg (std).timeAvg (std).NTAvg (std).time

(2, 2)24 (15.75506973)0.15023405 (0.093567381)9.4 (11.06746985)0.228 (0.132815662)
(2, 3)75.4 (43.58440088)0.7650699 (0.449198958)300 (824.0233276)0.887 (1.666667)
(2, 4)154 (80.77953536)2.299828 (1.207666995)
(2, 5)422.8 (260.6222469)8.358369 (5.156726039)
(2, 6)505.5 (528.8942869)9.886233 (10.21000994)
(2, 7)3243.3 (1540.659603)107.42306 (50.68952342)
(2, 8)9178.5 (7330.518357)389.16934 (315.0401155)
(2, 9)11195.2 (7294.911283)575.2941 (382.8851755)