1 Introduction The linear sum-of-ratios optimization problem models situations where several rates (objectives) have to be optimized simultaneously. The numerators and denominators of the ratios may represent profits, capital, time, human resources, production output or input, etc. Furthermore, applying the weighted sum technique to multiobjective linear fractional programming problems turns the problem into a sum-of-ratios optimization problem. The weighted sum is probably the widest approach used in multiobjective programming to aggregate several objective functions in one function to be optimized. Having some disadvantages (which we will not explore in this paper) this approach continues to be the first one people think of when faced with a decision problem with several conflicting objectives.
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