A COMBINED APPROACH FOR TREATING MULTI-OBJECTIVE PROGRAMMING PROBLEM. | ||||
| ERJ. Engineering Research Journal | ||||
| Article 14, Volume 30, Issue 2, April 2007, Page 251-258 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/erjm.2007.70060 | ||||
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| Authors | ||||
| Ahmed A. Elsawey; Taghreed A. Hassan | ||||
| Basic Engineering Science Department, Faculty of Engineering, Minoufjya University, Shebin El-Kom, Egyp | ||||
| Abstract | ||||
| 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. | ||||
| Keywords | ||||
| s Vector optimization; combined approaches; Tchebycheff approach; Lagrangan approach; Convex programming | ||||
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