#### A Solution Approach for a Class of Parametric Linear Programming Problems

Yıl: 2020 Cilt: 10 Sayı: 4 Sayfa Aralığı: 2901 - 2906 Metin Dili: İngilizce İndeks Tarihi: 27-03-2023

A Solution Approach for a Class of Parametric Linear Programming Problems

Öz:
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.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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 APA SİVRİ M, ALBAYRAK İ, ALAN K, TEMELCAN G (2020). A Solution Approach for a Class of Parametric Linear Programming Problems. , 2901 - 2906. 10.21597/jist.690650 Chicago SİVRİ Mustafa,ALBAYRAK İnci,ALAN Kadriye ŞİMŞEK,TEMELCAN Gizem A Solution Approach for a Class of Parametric Linear Programming Problems. (2020): 2901 - 2906. 10.21597/jist.690650 MLA SİVRİ Mustafa,ALBAYRAK İnci,ALAN Kadriye ŞİMŞEK,TEMELCAN Gizem A Solution Approach for a Class of Parametric Linear Programming Problems. , 2020, ss.2901 - 2906. 10.21597/jist.690650 AMA SİVRİ M,ALBAYRAK İ,ALAN K,TEMELCAN G A Solution Approach for a Class of Parametric Linear Programming Problems. . 2020; 2901 - 2906. 10.21597/jist.690650 Vancouver SİVRİ M,ALBAYRAK İ,ALAN K,TEMELCAN G A Solution Approach for a Class of Parametric Linear Programming Problems. . 2020; 2901 - 2906. 10.21597/jist.690650 IEEE SİVRİ M,ALBAYRAK İ,ALAN K,TEMELCAN G "A Solution Approach for a Class of Parametric Linear Programming Problems." , ss.2901 - 2906, 2020. 10.21597/jist.690650 ISNAD SİVRİ, Mustafa vd. "A Solution Approach for a Class of Parametric Linear Programming Problems". (2020), 2901-2906. https://doi.org/10.21597/jist.690650
 APA SİVRİ M, ALBAYRAK İ, ALAN K, TEMELCAN G (2020). A Solution Approach for a Class of Parametric Linear Programming Problems. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 10(4), 2901 - 2906. 10.21597/jist.690650 Chicago SİVRİ Mustafa,ALBAYRAK İnci,ALAN Kadriye ŞİMŞEK,TEMELCAN Gizem A Solution Approach for a Class of Parametric Linear Programming Problems. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi 10, no.4 (2020): 2901 - 2906. 10.21597/jist.690650 MLA SİVRİ Mustafa,ALBAYRAK İnci,ALAN Kadriye ŞİMŞEK,TEMELCAN Gizem A Solution Approach for a Class of Parametric Linear Programming Problems. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.10, no.4, 2020, ss.2901 - 2906. 10.21597/jist.690650 AMA SİVRİ M,ALBAYRAK İ,ALAN K,TEMELCAN G A Solution Approach for a Class of Parametric Linear Programming Problems. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 10(4): 2901 - 2906. 10.21597/jist.690650 Vancouver SİVRİ M,ALBAYRAK İ,ALAN K,TEMELCAN G A Solution Approach for a Class of Parametric Linear Programming Problems. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 10(4): 2901 - 2906. 10.21597/jist.690650 IEEE SİVRİ M,ALBAYRAK İ,ALAN K,TEMELCAN G "A Solution Approach for a Class of Parametric Linear Programming Problems." Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 10, ss.2901 - 2906, 2020. 10.21597/jist.690650 ISNAD SİVRİ, Mustafa vd. "A Solution Approach for a Class of Parametric Linear Programming Problems". Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi 10/4 (2020), 2901-2906. https://doi.org/10.21597/jist.690650