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1975•Bulletin of the Australian Mathematical SocietyOpen access

Nonlinear fractional programming

B. Mond, B. D. Craven

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Abstract

If an optimal solution exists for a nonlinear fractional programming problem, then this solution is shown to be obtainable by solving two associated programming problems whose objective functions are no longer fractional. A certain restriction is assumed on the constraint sets of the latter problems. This result includes various known theorems as special cases.

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What this paper is about

If an optimal solution exists for a nonlinear fractional programming problem, then this solution is shown to be obtainable by solving two associated programming problems whose objective functions are no longer fractional. A certain restriction is assumed on the constraint sets of the latter problems. This result includes various known theorems as special cases.

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Available abstract

If an optimal solution exists for a nonlinear fractional programming problem, then this solution is shown to be obtainable by solving two associated programming problems whose objective functions are no longer fractional. A certain restriction is assumed on the constraint sets of the latter problems. This result includes various known theorems as special cases.

Key concepts: Fractional programming, Mathematics, Nonlinear programming, Nonlinear system, Mathematical optimization, Constraint programming, Constraint (computer-aided design), Fractional calculus

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