Generation of efficient and ϵϵ\epsilon-efficient solutions  in multiple objective linear programming

Zohra Sabrina DELHOUM; Sonia RADJEF; Fatima BOUDAOUD

Makale detayları

Generation of efficient and ϵϵ\epsilon-efficient solutions in multiple objective linear programming

Yazarlar:

Zohra Sabrina DELHOUM | Sonia RADJEF | Fatima BOUDAOUD

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.1031-1048

Belge Tipi:

Makale

Yayın Tarihi:

5/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745866

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

We develop an algorithm to solve a multiple objective linear  programming problem with  bounded variables. It is based on the  scalarization theorem of optimal solutions of multiobjective linear  programs and the single objective adaptive method. We suggest a  process for the search for the first efficient solution without  having to calculate a feasible solution, and we elaborate a method  to generate efficient solutions, weakly efficient solutions, and  ϵϵ\epsilon-efficient solutions. Supporting theoretical results are  established and the method is demonstrated on a numerical example.

Makale detayları

Generation of efficient and ϵϵ\epsilon-efficient solutions in multiple objective linear programming

Yazarlar: Zohra Sabrina DELHOUM | Sonia RADJEF | Fatima BOUDAOUD

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.1031-1048

Belge Tipi: Makale

Yayın Tarihi: 5/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745866

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Zohra Sabrina DELHOUM | Sonia RADJEF | Fatima BOUDAOUD

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.1031-1048

Belge Tipi:

Makale

Yayın Tarihi:

5/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745866

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098