Research ArticleOpen AccessGoogle Scholar indexed
Using Harmonic Mean to Solve Multi-Objective Linear Programming Problems
Department of Mathematics, College of Education, University of Salahaddin, Erbil, Iraq
Department of Mathematics, College of Education, University of Salahaddin, Erbil, Iraq
- 1 Department of Mathematics, College of Education, University of Salahaddin, Erbil, Iraq
- 2 Department of Mathematics, College of Education, University of Salahaddin, Erbil, Iraq
American Journal of Operations Research·Volume 06 (2016)·Pages 25–30·Published 11 January 2016·DOI10.4236/ajor.2016.61004
Copy link · social · email
Abstract
In this paper, we have suggested a new technique to transform multi-objective linear programming problem (MOLPP) to the single objective linear programming problem by using Harmonic mean for values of function and an algorithm is suggested for its solution, the computer application of algorithm has been demonstrated by solving some numerical examples. We have used some other techniques, such as (sen, arithmetic mean, median) to solve the same problems, the results in Table 3 indicate that the new technique in general is promising.
KeywordsMOLPPHarmonic Mean
- Chandra, S. (1983) A New Approach Objective Planning. The Indian Economic Journal, 30, 91-96.
- Sulaiman, N.A. and Sadiq Gulnar, W. (2006) Solving the Multi-Objective Programming Problem; Using Mean and Median Value. Ref. J of Comp & Math’s, 3.
- Abdul-Kadir, M.S. and Sulaiman, N.A. (1993) An Approach for Multi-Objective Fractional Programming Problem. Journal of College of Education, University of Salahaddin, 3, 1-5.
- Jothikumar, J. (2004) STATISTICS. 60 G.S.M Paper, p.100.
- Azapagic, A. and Clift, R. (1999) Life Cycle Assessment and Multi Objective Optimization. Journal of Cleaner Production, 7, 135-143. http://dx.doi.org/10.1016/S0959-6526(98)00051-1