Global Optimization for Sum of Linear Ratios Problem Using New Pruning Technique

Table 1

Computational results of test examples.

Example	optimal solution			optimal value	Iter	Maxnode	Time	𝜖𝑐
	𝑥1	𝑥2	𝑥3
1. [3]	0.0	0.282165		1.623188	36	16	<1	10^−6
This paper	0.0	0.283243180		1.623183349	11	5	0	10^−8
2. [2]	1	0	0	−4.081481	38	3	2	10^−6
This paper	0.999999991	0.000000056	0.000000237	−4.081481483	22	11	<1	10^−8
3.	1.0	1.0	1.0	−0.534313724	35538	2655	6	10^−8
4.	1.0	1.0	1.0	−0.63452382	9056	992	<3	10^−8