中文摘要：

对广义非线性比式和问题的等价问题使用指数变换及线性下界估计。建立等价问题的松弛线性规划，通过对松弛线性规划可行域的细分及一系列线性规划的求解达到提出的一种确定型全局优化算法。理论上证明收敛到问题的全局最优解．实验表明，该算法具有可行性、有效性．

英文摘要：

By the exponential transformations and linear underestimating for the equivalence form of the sum of general- ized nonlinear ratios problems, the linear relaxation programming of equivalence problem is established. Through successive- ly refining the feasible region of linear relaxation problem and solving a sequence of linear relaxation programming problems, a proposed determined global optimization algorithm is theoretically proved to convergent to the global solution of prime problem and is indicated feasible and efficient on numerical results.