Fractional Programming with Homogeneous Functions

Stephen P. Bradley and Sherwood C. Frey
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Stephen P. Bradley: Graduate School of Business Administration, Harvard University, Boston, Massachusetts
Sherwood C. Frey: Graduate School of Business Administration, Harvard University, Boston, Massachusetts

Operations Research, 1974, vol. 22, issue 2, 350-357

Abstract: This paper extends the well known results for linear fractional programming to the class of programming problems involving the ratio of nonlinear functionals subject to nonlinear constraints, where the constraints are homogeneous of degree one and the functionals are homogeneous of degree one to within a constant. Two rather general auxiliary problems are developed, and the relations between the solutions of the auxiliary problems and the solutions of the original problem are codified. Applications of the results for specific problems are also presented.

Date: 1974
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