Kesirli üniversal kriging meta-modeli

Year 2022, Volume: 37 Issue: 3, 1185 - 1196, 28.02.2022

Muzaffer Balaban , Berna Dengiz

https://doi.org/10.17341/gazimmfd.936374

Abstract

Bu çalışmada, benzetim modeli ile veri üretmenin maliyetli olabileceği karmaşık yapıdaki problemler için benzetim modelinin yerine kullanılabilecek Kriging tabanlı bir meta-model önerilmektedir. Üniversal Kriging (ÜK) meta-modelinin drift fonksiyonu yapısının bilinmediği durumlar için önerilen bu yeni model yapısında, ÜK meta-modelinde drift fonksiyonu olarak kullanılan birinci ve ikinci dereceden regresyon modelleri yerine, kesirli değerler de alabilen değişkenlerin bir güç fonksiyonu kullanılmıştır. Kesirli Üniversal Kriging (KÜK) meta-modeli olarak adlandırılan bu meta modelin kestirim gücü deneysel analizlerle incelenmiştir. Geçerleme analizleri Ortalama Hata Kare (OHK) ve Enbüyük hata Kare (EHK) başarım ölçütlerine göre KÜK meta-modellerinin üstün kestirim gücüne sahip olduğunu ortaya koymuştur. Böylece, benzetim modelinin girdi-çıktı ilişkisinin karesel polinomial durumdan farklı ve daha yüksek dereceden etkilerini de içeren bir güç fonksiyonu ile ifade edilebilir olması durumunda, KÜK meta-modelleri yeni bir meta-model yaklaşımı olarak bu çalışmada önerilmektedir.

Keywords

Meta-model, Ordinary Kriging, Üniversal Kriging, Kesirli Üniversal Kriging, Latin hiperküp tasarım

Supporting Institution

yok

Project Number

yok

Thanks

Bu çalışmanın tamamlanması sürecinde yaptıkları değerli katkılar için Prof. Dr. Fulya Altıparmak ve Doç. Dr. Ebru Angun’a teşekkürü borç biliriz.

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