Beste DESTİCİOĞLU, Kemal Gürol KURTAY, Aygün ALTUNDAŞ, Hakan Ayhan DAĞISTANLI

Hastanelere Aşı Dağıtımı İçin Uygun Rotaların Belirlenmesi: Ankara İli Örneği

Çin’in Wuhan kentinde başlayıp tüm dünyaya yayılan COVID-19 salgını ile birlikte geleneksel uygulamalarda değişiklikler yaşanmaya başlamış ve bu gelişmelerle paralel olarak yeni problemler ortaya çıkmaya başlamıştır. COVID-19 salgınıyla ortaya çıkan bu problemler, araştırmacıların ilgisini çeken konular arasında yer almaktadır. Hem ülkemizin hem de dünyanın bu salgınla başa çıkabilmesi için tüm nüfusun aşılanarak toplum bağışıklığının sağlanması önem kazanmaktadır. Aşılanacak kişi sayısındaki artışla beraber, hastanelerin aşı kapasitelerinin belirlenmesi, aşı uygulaması yapılacak hastanelerin seçilmesi, hastanelere aşı dağıtım rotalarının belirlenmesi gibi yeni problemler karşımıza çıkmaktadır. Araç rotalama problemi ilk olarak 1950’li yıllarda literatürde yerini almaya başlamış ve günümüzde farklı varsayımlar altında yeni problem için uyarlanabilen, gelişmeye açık bir problem alanı olarak görülmektedir. Bu çalışmada, aşıların bir dağıtım merkezinden uygulama yapılacağı hastanelere en kısa sürede, minimum maliyet altında taşınmasının sağlanması amacıyla bir matematiksel model önerisinde bulunulmuştur. Bu problem için, literatürde yer alan araç rotalama problemi modelleri kullanılarak yeni bir matematiksel model önerisi yapılmıştır. Geliştirilen modelin etkinliğini analiz etmek için Ankara ili için bir uygulama yapılmış ve oluşturulan problem GAMS 24.1.3 programında kodlanarak çözülmüştür. Problemin çözümünde elde edilen sonuçlar değerlendirilerek, hastaneleri ziyaret edecek araçların minimum maliyetli rotaları belirlenmiştir.

Anahtar Kelimeler:

COVID-19, dağıtım problemi, matematiksel model, araç rotalama problemi

Determining Suitable Routes for Vaccine Distribution to Hospitals: Application of Ankara Province

With the COVID-19 epidemic, which started in Wuhan, China in 2019 and spread all over the world, changes in traditional practices began to occur and new problems emerged in parallel with these developments. These problems, which emerged with the COVID-19 pandemic, have become a subject that attracts the attention of researchers. In order for the world to cope with this epidemic more quickly, it is important to ensure community immunity by vaccinating the population both in our country and in the world. With the increase in the supply of vaccines, new problems arise such as determining the capacities of hospitals where vaccines will be administered, choosing hospitals where vaccines can be administered, and determining routes to distribute vaccines to hospitals. Vehicle routing problem first started to take its place in the literature in the 1950s, and today it is seen as an open problem area that can be adapted for the new problem under different assumptions. In this study, a mathematical model has been proposed in order to ensure that vaccines are transported from a distribution center to the hospitals where they will be administered, as soon as possible and at minimum cost. For this problem, a new mathematical model has been proposed by using the vehicle routing problem models in the literature. In order to test the effectiveness of the developed model, an application example was made for the province of Ankara and the problem was solved in the GAMS 24.3.1 program. By evaluating the results obtained in the solution of the problem, the minimum cost routes of the vehicles to visit the hospitals were determined.

Keywords:

COVID-19, distribution problem, mathematical model, vehicle routing problem,

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