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Modified Ratio Objective Approach in Mathematical Programming

Author

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  • T. Antczak

    (University of Łódź)

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.

Suggested Citation

  • T. Antczak, 2005. "Modified Ratio Objective Approach in Mathematical Programming," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 23-40, July.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:1:d:10.1007_s10957-005-2654-5
    DOI: 10.1007/s10957-005-2654-5
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    Cited by:

    1. Jia Chen & Yeol Cho & Jong Kim & Jun Li, 2011. "Multiobjective optimization problems with modified objective functions and cone constraints and applications," Journal of Global Optimization, Springer, vol. 49(1), pages 137-147, January.
    2. Ariana Pitea & Mihai Postolache, 2012. "Duality theorems for a new class of multitime multiobjective variational problems," Journal of Global Optimization, Springer, vol. 54(1), pages 47-58, September.
    3. Hachem Slimani & Mohammed-Said Radjef, 2016. "Generalized Fritz John optimality in nonlinear programming in the presence of equality and inequality constraints," Operational Research, Springer, vol. 16(2), pages 349-364, July.

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