The main purpose of this paper is to introduce a comprehensive study of vector optimization problems (VOP). A new combined approach is developed for characterizing the efficient solutions of (VOP). This approach combines the characteristics of both Tchebycheff norm approach and K-th objective Lagrangian approach to form an improved scalarizing method for treating nonlinear multiobjective optimization problems. The Combined procedure is sensible because the Tchebycheff norm approach possesses complementary distinguishing characteristics for K-th objective Lagrangian approach. The theorems which characterize the efficient solutions of (VOP) in terms of this new combined approach are introduced. Also, some of the basic notions in parametric convex programming are redefined and analyzed for the new combined approach.
Elsawey, A. A., & Hassan, T. A. (2007). A COMBINED APPROACH FOR TREATING MULTI-OBJECTIVE PROGRAMMING PROBLEM.. ERJ. Engineering Research Journal, 30(2), 251-258. doi: 10.21608/erjm.2007.70060
MLA
Ahmed A. Elsawey; Taghreed A. Hassan. "A COMBINED APPROACH FOR TREATING MULTI-OBJECTIVE PROGRAMMING PROBLEM.". ERJ. Engineering Research Journal, 30, 2, 2007, 251-258. doi: 10.21608/erjm.2007.70060
HARVARD
Elsawey, A. A., Hassan, T. A. (2007). 'A COMBINED APPROACH FOR TREATING MULTI-OBJECTIVE PROGRAMMING PROBLEM.', ERJ. Engineering Research Journal, 30(2), pp. 251-258. doi: 10.21608/erjm.2007.70060
VANCOUVER
Elsawey, A. A., Hassan, T. A. A COMBINED APPROACH FOR TREATING MULTI-OBJECTIVE PROGRAMMING PROBLEM.. ERJ. Engineering Research Journal, 2007; 30(2): 251-258. doi: 10.21608/erjm.2007.70060
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