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A Solution Approach for a Class of Parametric Linear Programming Problems    
Yazarlar (4)
Mustafa Sivri
Türkiye
Fatma İnci Albayrak
Yıldız Teknik Üniversitesi, Türkiye
Kadriye Şimşek Alan
Dr. Öğr. Üyesi Gizem Temelcan ERGENECOŞAR Dr. Öğr. Üyesi Gizem Temelcan ERGENECOŞAR
Beykoz Üniversitesi, Türkiye
Devamını Göster
Özet
Depending on the nature, objectives, and constraints of the decision variables; linear programming, nonlinear programming, integer programming, mixed integer programming etc. can be classified. Extensive research has been conducted to solve all types of these problems in a parametric context. In this paper, to solve optimization problems having uncertainties represented by a single parameter on the objective function, a systematic linearization approach is developed considering the parametric expression as nonlinear. In the proposed approach, the objective function is considered as nonlinear which is converted into linear by using first order Taylor series expansion at the points making the parametric costs zero. Thus, the optimal solution is obtained from the constructed linear programming 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 is illustrated to present the effectiveness of the proposed approach.
Anahtar Kelimeler
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale
Dergi Adı Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Dergi ISSN 2146-0574
Dergi Tarandığı Indeksler TR DİZİN
Makale Dili İngilizce
Basım Tarihi 12-2020
Cilt No 10
Sayı 4
Sayfalar 2901 / 2906
DOI Numarası 10.21597/jist.690650
Makale Linki https://doi.org/10.21597/jist.690650
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 1
A Solution Approach for a Class of Parametric Linear Programming Problems

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