• ISSN: 2148-2225 (online)

Ulaştırma ve Lojistik Kongreleri

alphanumeric journal

The Journal of Operations Research, Statistics, Econometrics and Management Information Systems

Fuzzy Goal Programming Problem Based on Minmax Approach for Optimal System Design


Nurullah Umarusman, Ph.D.


Abstract

Every system in nature evolved in order to carry on their existence and reach their targets with minimal losses. The fundamental condition of a system’s success lies on making the correct decision by evaluating multiple, complicated, and conflicting goals based on the present constraints. Many mathematical programming problems are make up of objective functions combined by the decision maker based on the constrains. This study investigates how an optimal design can be reached based on Minmax approach. Goal Programming and a Fuzzy Goal Programming known as MA approach are used in this study. The solution of a problem organized as a Multiple De novo programming in order to determine the resource amounts for a business in handcrafts is carried out based on these two approaches. Budget constrain is organized as a goal to solve the problem based on MA approach, and a solution is proposed accordingly. The acquired results suggest that the solution results of Minmax Goal Programming and MA approach are the same.

Keywords: De Novo Programming, Fuzzy Goal Programming, Minmax Goal Programming, Optimal System Design

Jel Classification: C44

Optimal Sistem Tasarımı İçin Minmaks Tabanlı Bulanık Hedef Programlama Kullanımı


Öz

Tabiattaki bütün sistemler, varlıklarını devam ettirmek ve hedeflerine en az kayıpla ulaşmak için zaman içerisinde değişim geçirmişlerdir. Sistemlerin başarıya ulaşabilmelerinin temel şartı birden fazla, ihtilaflı ve karmaşık amaçları mevcut kısıtlara göre değerlendirip en doğru kararı verebilmektir. Birçok matematiksel programlama problemi, karar verici tarafından kısıtlara bağlı olarak amaç fonksiyonlarının bir araya getirilmesinden oluşmaktadır. Bu çalışmada Minmaks tabanlı yaklaşımla optimal sistemin tasarımının nasıl yapılacağı araştırılmıştır. Araştırmada Minmaks Hedef Programlama ile MA yaklaşımı olarak da bilinen bir Bulanık Hedef yaklaşımı kullanılmıştır. El sanatları üretimi yapan bir işletmede kaynak miktarlarının optimal seviyede belirlenebilmesi için Çok Amaçlı De novo programlama olarak kurulan problemin çözümü bu iki yaklaşıma göre yapılmıştır. MA yaklaşımına göre problemin çözülebilmesi için bütçe kısıtı bir hedef olarak düzenlenmiş ve bir çözüm önerisi yapılmıştır. Elde edilen sonuçlara göre Minmaks Programming ve MA yaklaşımının çözüm sonuçlarının aynı olduğu belirlenmiştir.

Anahtar Kelimeler: Bulanık Hedef Programlama, De Novo Programlama, Minmaks Hedef Programlama, Optimal Sistem Tasarımı


Cite this article

Umarusman, N. (2018). Fuzzy Goal Programming Problem Based on Minmax Approach for Optimal System Design. Alphanumeric Journal, 6(1), 177-192. http://dx.doi.org/10.17093/alphanumeric.404680

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Volume 6, Issue 1, 2018

2018.06.01.OR.08

alphanumeric journal

Volume 6, Issue 1, 2018

Pages 177-192

Received: March 12, 2018

Accepted: May 19, 2018

Published: June 27, 2018

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2018 Umarusman, N.

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