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A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions. (English) Zbl 1276.90074
Summary: Two approaches are introduced to obtain Stackelberg solutions for two-level fractional programming problems with interval coefficients in the objective functions. The approaches are based on the \(k\)th best method and the method for solving linear fractional programming problems with interval coefficients in the objective function. In the first approach, linear fractional programming with interval coefficients in the objective function and linear programming are utilized to obtain a Stackelberg solution, but in the second approach only linear programming is used. Since a linear fractional programming with interval coefficients can be equivalently transformed into a linear programming, therefore both approaches have same results. Numerical examples demonstrate the feasibilty and effectiveness of the methods.
MSC:
90C32 Fractional programming
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