An Efficient Algorithm for Solving a Class of Fractional Programming Problems

Table 1

Numerical comparison among the algorithm BARON and our algorithm on Examples A.1–A.5.

Example	Refs.	Optimal solution	Optimal value	Iter	CPU time
A.1	This paper	(1.5, 1.5)	4.912587413	17	0.079
	BARON	(1.5, 1.5)	4.9126	5	0.12
A.2	This paper	(3.0, 4.0)	5.0	52	0.24
	BARON	(3.0, 4.0)	5.0	9	0.24
A.3	This paper	(0.0, 0.0, 0.0)	3.0	25	0.101
	BARON	(0.0, 0.0, 0.0)	3.0	5	0.12
A.4	This paper	(1.111111111, 0.0, 0.0)	4.090702948	11	0.061
	BARON	(1.1111, 0.0000, 0.0000)	4.0907	1	0.08
A.5	This paper	(0, 0)	0.533333333	8	0.063
	BARON	(0, 0)	0.5333	3	0.10