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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 2 | Year 2017 | Article Id. IJMTT-V50P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P511

An Appropriate Approach for Transforming and Optimizing Multi-Objective Quadratic Fractional Programming Problem


Huma Akhtar , Geeta Modi, Sushma Duraphe
Abstract

This paper presents an advanced optimal average of maximin & minimax technique to solve multi-objective quadratic fractional programming problem (MOQFPP) to single objective quadratic fractional programming problem (SOQFPP) and suggested an algorithm for it. This can be illustrate with the help of numerical example. The numerical result in this paper indicates that our technique is promising.

Keywords
MOQFPP, Advanced optimal average of maximin & minimax technique.
References

[1] Akhtar Huma, Modi Geeta and Duraphe Sushma, Transforming and Optimizing MOQFPP, International Journal of Statistics and Applied Mathematics, Vol. 2, Issue 1 (2017), 66-70.
[2] Carnes and W.W. Cooper, Programming with Linear Fractional Functional, Naval Research Logistics Quarterly, Vol. 9 (1962), 181-186.
[3] Sen. Chandra, A new approach for multi-objective rural development planning, The Indian Economic Journal, Vol. 30, No. 4(1983), 91-96.
[4] Sulaiman, N. A. & Abdulrahim Basiya K., Using transformation technique to solve multi-objective linear fractional programming problem, IJRRAS Vol.14, No.3 (2013), 559-567.
[5] Sulaiman, N. A. & Nawkhass Maher A., A new modified simplex method and compared it to a traditional simplex method by using pseudoaffinity of quadratic fractional function, Applied Mathematical Sciences, Vol. 7(2013), no. 76, 3749-3764.
[6] Sulaiman, N. A. & Nawkhass Maher A., Transforming and solving multi-objective quadratic fractional programming problems by optimal average of maximin & minimax techniques, American Journal of Operations Research, Vol. 3, Issue 3(2013), 92-98.
[7] Sulaiman, N. A., Sdiq Gulnar W. & Abdulrahim Basiya K.,“New arithmetic average technique to solve multi objective linear fractional programming problem and it is comparison with other techniques”, IJRRAS, Vol. 18, Issue 2 (2014), 122-131.

Citation :

Huma Akhtar , Geeta Modi, Sushma Duraphe, "An Appropriate Approach for Transforming and Optimizing Multi-Objective Quadratic Fractional Programming Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 2, pp. 80-83, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P511

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