Combined facility location and distribution network design problem: Progressive models and a case study

Yıl 2020, Cilt: 26 Sayı: 1, 157 - 173, 20.02.2020

İbrahim KÜÇÜKKOÇ Mustafa ACAR

Öz

This paper addresses to the facility location problem of ammunition stores considering the design of distribution network from stores to geographically dispersed army forces. The problem is to determine the construction sites of the ammunition stores among candidate sites and to give the decision on how many stores will be built from which kind. The problem also contains designing of a distribution network to concurrently determine the amounts of several military equipment transported from stores to army forces. A mathematical model is proposed to minimize the cost of the whole system, caused by the construction of the ammunition stores and the transportation of different equipment in diverse quantities from stores to dispersed army forces. The model is then improved progressively and several variants are presented to reflect the real-world conditions through a case study. Numerical results obtained from solving the case study using the proposed models coded in General Algebraic Modelling System (GAMS) are exhibited. The effect of the size of problem specific parameters on the model execution time is also investigated via experimental tests. The results demonstrate the promising problem-solving capacity of the proposed models, which can be applied practically.

Anahtar Kelimeler

Facility location, Distribution network design, Operations research, MILP

Birleşik depo yeri seçimi ve dağıtım ağı tasarımı problemi: Aşamalı modeller ve bir uygulama

Öz

Bu çalışma, depolardan coğrafi olarak dağınık askeri birliklere dağıtım ağı tasarımını dikkate alarak mühimmat depolarının yer seçimi problemi konusunu ele almaktadır. Burada problem, aday bölgelerden hangilerine mühimmat depoları kurulacağını belirlemek ve hangi tip depolardan kaç adet inşa edileceğine karar vermektir. Ele alınan problem aynı zamanda mühimmat depolarından askeri birliklere sevk edilen pek çok askeri malzemenin miktarını belirlemek için bir dağıtım ağı tasarımı problemini içermektedir. Depo kurulumundan ve farklı askeri malzemelerin depolardan askeri birliklere farklı miktarlarda dağıtımından kaynaklanan toplam maliyeti minimize etmek için bir matematiksel model önerilmektedir. Bu model akabinde aşamalı olarak iyileştirilmekte ve gerçek hayat koşullarını bir uygulama vasıtasıyla daha iyi yansıtmak amacıyla modelin farklı versiyonları sunulmaktadır. Uygulamaya konu problem, önerilen modellerin GAMS (Genel Cebirsel Modelleme Sistemi)’te kodlanmasıyla çözülerek sayısal örnekler ortaya koyulmuştur. Probleme özgü parametrelerin büyüklüğünün model uygulama süresi üzerindeki etkisi de deneysel testlerle incelenmiştir. Sonuçlar, önerilen modellerin pratikte uygulanabilecek umut verici problem çözme kapasitesini göstermektedir.

Anahtar Kelimeler

Yer belirleme, Dağıtım ağı tasarımı, Yöneylem araştırması, Karışık tamsayılı programlama

Kaynakça

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