Modified Ratio Objective Approach in Mathematical Programming

T. Antczak
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T. Antczak: University of Łódź

Journal of Optimization Theory and Applications, 2005, vol. 126, issue 1, No 2, 23-40

Abstract: Abstract A new approach to obtaining the optimality conditions for fractional mathematical programming problems involving one objective ratio in the objective function is considered. Using this approach, an equivalent optimization problem is constructed by a modification of the single-ratio objective function in the fractional programming problem. Furthermore, an η-Lagrange function is introduced for a constructed optimization problem and modified saddle-point results are presented.

Keywords: Single-ratio objective fractional problem; pseudoinvex function with respect to η; quasiinvex function with respect to η; optimality conditions; saddle points. (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-005-2654-5

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