Optimizing the sum of linear fractional functions
Recent advances in global optimization
Minimization of the sum of three linear fractional functions
Journal of Global Optimization
Solving the Sum-of-Ratios Problem by an Interior-Point Method
Journal of Global Optimization
A branch-and-bound algorithm for maximizing the sum of several linear ratios
Journal of Global Optimization
Using concave envelopes to globally solve the nonlinear sum of ratios problem
Journal of Global Optimization
Global optimization algorithm for the nonlinearsum of ratios problem
Journal of Optimization Theory and Applications
A Unified Monotonic Approach to Generalized Linear Fractional Programming
Journal of Global Optimization
Global optimization for sum of generalized fractional functions
Journal of Computational and Applied Mathematics
Solving the sum-of-ratios problem by a stochastic search algorithm
Journal of Global Optimization
Nature-Inspired Metaheuristic Algorithms
Nature-Inspired Metaheuristic Algorithms
Global optimization for a class of fractional programming problems
Journal of Global Optimization
An Intelligent Tuned Harmony Search algorithm for optimisation
Information Sciences: an International Journal
Survey A survey on applications of the harmony search algorithm
Engineering Applications of Artificial Intelligence
Expert Systems with Applications: An International Journal
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The sum-of-ratios problems have numerous applications in economy and engineering. The sum-of-ratios problems are considered to be difficult, as these functions are highly nonconvex and multimodal. In this study, we propose a harmony search algorithm for solving a sum-of-ratios problem. Numerical examples are also presented to demonstrate the effectiveness and robustness of the proposed method. In all cases, the solutions obtained using this method are superior to those obtained from other methods.