Fuzzy Multi-Objective Programming Model for Facility Location in an Integrated Supply Chain Network

Abstract

Traditional supply chain network design problems are often taken as a single objective. However, supply chains are complex networks formed by organizations having conflicting objectives with each other in real life. In this study, a multi-product, multi-stage and multi-period planning model is proposed to achieve multiple incommensurable goals in an integrated supply chain network with uncertain market demands. The supply chain planning model is constructed as a mixed-integer nonlinear programming problem to satisfy several conflicting objectives with each other. The proposed model consists of two objective functions. The first one is minimizing the fixed opening and operating costs with transportation costs determined depending on distances. Second one is minimizing the purchasing, ordering, inventory and backlogging costs according to Economic Production Quantity (EPQ) model. Fuzzy goal programming approach is used in order to include decision maker's imprecise goal values in proposed model. The model is solved using GAMS optimization program. The application results presented in this study, demonstrates that fuzzy modeling and solution approaches could be used in the creation of more realistic models of the supply chain.

Keywords

• Supply chain network, Facility location, Fuzzy goal programming.

Bütünleşik Tedarik Zinciri Ağında Tesis Yeri Seçimi için Bulanık Çok Amaçlı Programlama Modeli

Öz

Geleneksel tedarik zinciri ağı tasarım problemleri genellikle tek amaçlı olarak ele alınmıştır. Ancak, tedarik zincirleri gerçek hayatta birbirleri ile çelişen amaçları olan organizasyonların meydana getirdiği karmaşık ağlardır. Bu çalışmada, piyasa taleplerinin belirsiz olduğu bütünleşik bir tedarik zinciri ağındaki birden fazla ölçülemeyen amacı gerçekleştirmek için çok ürünlü, çok aşamalı ve çok dönemli planlama modeli önerilmiştir. Tedarik zinciri planlama modeli, birbiriyle çelişen birkaç amacı doyurmak için karışık tam sayılı doğrusal olmayan programlama problemi olarak bina edilmiştir. Önerilen model iki amaç fonksiyonundan oluşmaktadır. Birincisi, tedarik zincirindeki sabit tesis açma ve işletme maliyetleri ile mesafelere bağlı olarak belirlenen taşıma maliyetlerinin en azlanmasıdır. İkincisi, Ekonomik Üretim Miktarı (EÜM) modeline göre satın alma, sipariş verme, stok bulundurma ve yok satma maliyetlerinin en azlanmasıdır. Önerilen modelde, karar vericilerin kesin olmayan hedef değerlerini dahil edebilmek için bulanık hedef programlama yaklaşımı kullanılmıştır. Model, GAMS optimizasyon programı kullanılarak çözülmüştür. Çalışmada sunulan uygulama sonuçları, bulanık modelleme ve çözüm yaklaşımlarının daha gerçekçi tedarik zinciri modelleri oluşturulmasında kullanılabileceğini göstermiştir.

Anahtar Kelimeler

• Tedarik zinciri ağı, Tesis yeri seçimi, Bulanık hedef programlama.

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