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

D.Dutta1, Pitam Singh2, Shiv Datt Kumar2 and R.K.Singh3  

        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