TY  - JOUR
TI  - A Solution Approach for a Class of Parametric Linear Programming Problems
AB  - Depending on the nature, objectives, and constraints of the decision variables; linearprogramming, nonlinear programming, integer programming, mixed integer programming etc. can beclassified. Extensive research has been conducted to solve all types of these problems in a parametriccontext. In this paper, to solve optimization problems having uncertainties represented by a singleparameter on the objective function, a systematic linearization approach is developed considering theparametric expression as nonlinear. In the proposed approach, the objective function is considered asnonlinear which is converted into linear by using first order Taylor series expansion at the points makingthe parametric costs zero. Thus, the optimal solution is obtained from the constructed linearprogramming problem. In this way, by determining the intervals in which the optimal solution changes,the solution of the parametric linear programming problem is obtained. A numerical experiment isillustrated to present the effectiveness of the proposed approach.
AU  - sivri, mustafa
AU  - Simsek Alan, Kadriye
AU  - Temelcan, Gizem
AU  - Albayrak, İnci
DO  - 10.21597/jist.690650
PY  - 2020
JO  - Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
VL  - 10
IS  - 4
SN  - 2146-0574
SP  - 2901
EP  - 2906
DB  - TRDizin
UR  - http://search/yayin/detay/456467
ER  -