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.
In this paper, we have proposed a new technique to find an efficient solution to fractional programming problems (FPP). The multi-objective fractional programming problem (MOFPP) is converted into multi-objective linear programming (MOLPP) utilizing the point-slopes formula for a plane, which has equivalent weights to the MOFPP. The MOLPP is diminished to a single objective linear programming problem (SOLPP) through using two new techniques for the values of the objective function and suggesting an algorithm for its solution. Finally, we obtained the optimal solution for MOFPP by solving the consequent linear programming problem (LPP). The proposed practicability is confirmed with the existing approaches, with some numerical examples and we indicated comparison with other techniques.
In this paper, Standard Division (SD) technique is used to solve multi-objective Quadratic fractional programming problems
(MOQFPP), each objective functions has the following form max.(min.)z=(a_1^t x+α)(a_2^t x+β)/(b_1^t x+γ)(b_2^t x+δ) , and an algorithm suggested for it. Also the problems solved by Chandra Sen technique. We test several examples but introduce two of them in this paper and compare the objective functions between SD and Sen’s technique which is indicate SD technique batter than the other.
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