**InternationaleJournals**

**A Solution of Linear-plus-Linear Fractional
Multiobjective Programming Problem **

**D.Dutta ^{1}, Pitam Singh^{2},
Shiv Datt Kumar^{2} and R.K.Singh^{3} **

** 1.** Mathematics Department,
National Institute of Technology, Warangal, India.Email: dduttamath@gmail.com

** 2.** Mathematics Department, Motillal Nehru National Institute of
Technology, Allahabad, India, **(i)** pitams@mnnit.ac.in **(ii)** sdt@mnnit.ac.in

**3.** Electical Engineering
Deapartment, Motillal Nehru National Institute of Technology, Allahabad, India rks@mnnit.ac.in

** **

**ABSTRACT**

** ** ** **In this paper, we proposed a solution procedure for solving
multiobjective linear-plus-linear fractional programming problems (MOLLFP).We
have positive objective functions for
all by translating
objective functions that are negative for
some .Then we have single objective function with quadratic
constraints as minimization of the deviations from maximum values of objective
functions in the feasible region. So MOLLFP is transformed to goal programming
problem.The proposed algorithm always yeilds efficient solution. Three examples
are given to illustrate this algorithm.

**Keywords:
**Multiobjective Programming, Fractional Programming.

**AMS
2000 Subject Classification: **90C29, 90C32

** **

**International
eJournal of Mathematics and Engineering**

**Volume 4,
Issue ****2,** **Pages: ** 2056 - 2064