Arithmetic Average Transformation Technique to Solve Multi-Objective Quadratic Programming Problem

Najmaddin A. Sulaiman1, Basiya K. Abulrahim2

Faculty of Education, University of Sulaimani, 2 Faculty of Education, University of Garmian

In this paper, we used arithmetic average transform technique for solving the multi-objective quadratic programming problem (MOQPP) to single-objective quadratic programming problem(SOQPP), through a new method using arithmetic average, then
solve the problems by Wolfe's method [3,12].The obtain results are compared with that of
modified method given in [11] and with the Chandra Sen. method [7].
Keywords: MOQPP, arithmetic average.

1- Abdil-Kadir, M. S. and Sulaiman, N. A., (1993) “An Approach for Multi-objective Fractional programming problem”, Journal of the College of Education, University of Salahaddin, Erbil\Iraq, Vol. 3, No. 1, PP. 1-5
2- Cheney, W. and Kincaid, D., (2004), “Numerical Mathematics and Computing”, fifth Edition, Thomson, Belmont, USA, P(789)
3- Das, B. Ch., (2009)“A Comparative Study of the Methods of Solving Non-Linear Programming Problem”, Daffodil International University Journal of science and Technology, Vol. 4, Issue 1, PP. 28-34
4- Hamad-Amin A. O., (2008) “ An Adaptive Arithmetic Average Transformation Technique for Solving MOOPP”, M.Sc. Thesis, University of Koya, koya/Iraq
5- Mohammad, M. F. and Sulaiman, N. A., (1992) “Multi-Objective Fractional Complimentary Program”, Zanco Journal, University of Salahaddin, Hawler / Iraq, Vol. 4, No. 4
6-Sulaiman, N. A. and Sadiq, G. W., (2006) “Solving the Linear Multi-Objective Programming Problems; Using Mean and Median Value”, Al-Rafiden Journal of computer sciences and mathematics, University of Mosul, Vol. 3,No. 1,PP. 69-83
7-Sen., Ch., (1983) “A New Approach for Multi-Objective Rural Development Planning”, The Indian Economic Journal, Vol. 30, No. 4, PP. 91-96
8- Sulaiman, N. A. and Othman, A. Q., (2007) “Optimal Transformation Technique to Solve Multi-Objective Linear Programming Problem”, Journal of University of Kirkuk, Vol. 2, No. 2
9- Salih, A. D., (2010) “On Solving Linear Fractional Programming Problems with Extreme Points”, M.Sc. Thesis, University of Salahaddin, Hawler/Iraq
10- Sulaiman, N. A., (1989) “Extreme Point Quadratic Programming Problem Techniques”, M.Sc. Thesis, University of Salahaddin, Hawler\Iraq
11- Sulaiman, N. A., and Abdul-Rahim B., K. (2011)“Optimal Cutting Plane Procedure for Multi-Objective Quadratic Programming Problem”, Journal of Koya University, ISSN. 2073-0713,No.20, PP. 119-130
12- Sharma, S. D., (1980)“Nonlinear and Dynamic Programming”Department of mathematic, Meerut College, Meerut University, KedarNath RamNath and CO., Publishers Meerut, P (547)