A note on the paper global optimization of nonlinear sum of ratios

作者：Jiao Hongwei^*; Shen Peiping

来源：Applied Mathematics and Computation, 2007, 188(2): 1812-1815.

DOI：10.1016/j.amc.2006.11.047

• global optimization
• nonlinear sum of ratios
• branch and bound
• linearization technique

In this technical note, we give a short extension application for nonlinear sum of ratios problem (P) considered in [Y.J. Wang, K.C. Zhang, Global optimization of nonlinear sum of ratios problem, Applied Mathematics and Computation 158 (2004) 319-330]. Actually our result is slightly more general, since we do not specify additional positive coefficient for each ratio. In this note, we use different equivalent problem as done in Wang and Zhang (2004). Our method introduce p variables less than other method (Wang and Zhang, 2004), and our approach need not additional special program to obtain the upper and lower bound of numerator and denominator for each ratio in the objective function.

• 出版日期2007-5-15
• 单位河南科技学院; 河南师范大学