Dinamik eş zamanlı topla dağıt araç rotalama probleminin çözümü için matematiksel model ve sezgisel yaklaşım: Rassal iteratif yerel arama değişken komşu iniş algoritması

Yıl 2020, Cilt: 35 Sayı: 2, 563 - 580, 25.12.2019

Burak Aydoğdu , Bahar Özyörük

https://doi.org/10.17341/gazimmfd.490179

Cited By: 7

Öz

 Firmaların
dağıtım ve toplama taleplerini karşılayacak en uygun rotaların bulunması için
Araç Rotalama Problemleri (ARP) sıkça kullanılmaktadır. Gerçek hayatta, gün
içerisinde gelen yeni toplama taleplerinin dolaşımda olan araçlar tarafından karşılanması
taşıma maliyetlerini azaltacaktır. Bu bağlamda müşterilerden gelen yeni toplama
taleplerinin dolaşımda olan araçlar tarafından karşılanabilmesi amacıyla Dinamik
Eş Zamanlı Topla-Dağıt Araç Rotalama Problemi (DETD_ARP) için yeni bir
matematiksel model geliştirilmiştir.  Geliştirilen
matematiksel modelin etkinliğini araştırmak için literatürde yer alan test problemleri
kullanılmış ve sonuçlar değerlendirilmiştir. Matematiksel model ile elde edilen
sonuçlar değerlendirilmiş ve problem boyutu arttıkça çözüm süresinin üstel
olarak arttığı görülmüştür. Bu çalışma kapsamında problemin kısa sürede
çözebilmek için sezgisel algoritmalardan faydalanılmıştır. Rassal İteratif
Yerel Arama Değişken Komşu İniş (R – İYA – DKİ) algoritması adında yeni bir
algoritma geliştirilmiştir.  R – İYA –
DKİ’de üst(hyper) sezgiseller kullanılarak komşuluk yapılarının uygulama sırası
azalan permütasyon yöntemine göre sürekli olarak değiştirilmiştir. Geliştirilen
algoritmanın etkinliğini değerlendirmek için çalışma kapsamında matematiksel
model ile elde edilen sonuçlar kullanılmıştır. Sonuçlara bakıldığında
geliştirilen sezgisel algoritmanın matematiksel model ile elde edilen sonuçlara
yakın sonuçlar verdiği görülmüştür. Son olarak ve büyük boyutlu problemler
önerilen R – İYA – DKİ algoritması ile çözülmüş ve sonuçlar paylaşılmıştır.

Anahtar Kelimeler

Dinamik, eşzamanlı topla-dağıt, araç rotalama problemi, karma tam sayılı matematiksel modelleme, üst sezgisel, yerel arama, değişken komşu arama

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