TY - JOUR A2 - Ding, Baocang AU - Jin, Li AU - Hou, Xue-Ping PY - 2014 DA - 2014/04/03 TI - Global Optimization for a Class of Nonlinear Sum of Ratios Problem SP - 103569 VL - 2014 AB - We present a branch and bound algorithm for globally solving the sum of ratios problem. In this problem, each term in the objective function is a ratio of two functions which are the sums of the absolute values of affine functions with coefficients. This problem has an important application in financial optimization, but the global optimization algorithm for this problem is still rare in the literature so far. In the algorithm we presented, the branch and bound search undertaken by the algorithm uses rectangular partitioning and takes place in a space which typically has a much smaller dimension than the space to which the decision variables of this problem belong. Convergence of the algorithm is shown. At last, some numerical examples are given to vindicate our conclusions. SN - 1024-123X UR - https://doi.org/10.1155/2014/103569 DO - 10.1155/2014/103569 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -